elementary mathematics test booklet (english) · ab · + · = · = · _ ÷ = ·

1. What is 0 064 6 25

0 081 484

. .

. .

××

equal to?

(a) 10

99(b)

100

99(c) 9 (d) 99

_ (b) 0 064 625

0 081 4 84

. .

. .

××

= × × ×× × ×

− −

− −64 10 625 10

81 10 484 10

3 2

3 2

= ××

64 625

81 484 = ×

×8 25

9 22 = 100

99

2. ( )x + 4 is a factor of which one of

the following expressions?

(a) x x2 7 44− + (b) x x2 7 44+ −

(c) x x2 7 44− − (d) x x2 7 44+ +

_ (c) We have, ( )x + 4 as a factor

∴ Put x = −4 in all the options.

(a) ( ) ( )− − − +4 7 4 442

= + +16 28 44 = 88 ≠ 0

(b) ( ) ( )− + − −4 7 4 442

= − −16 28 44 = −56 ≠ 0

(c) ( ) ( )− − − −4 7 4 442

= + −16 28 44 = 0

(d) ( ) ( )− + − +4 7 4 442

= − +16 28 44 = 32 ≠ 0

∴ ( )x + 4 is a fac tor of x x2 7 44− − .

3. If α and β are the roots of the

quadratic equation 2 6 02x x k+ + = , where k < 0, then

what is the maximum value of αβ

βα

+ ?

(a) 2 (b) −2 (c) 9 (d) −9

_ (d) We have, 2 6 02x x k+ + =

∴ α β+ = − = −6

23 and αβ = k

2

Now, αβ

βα

+ = +α βαβ

2 2

Since numerator is always positiveand denominator will be alwaysnegative ( )k < 0

∴ α β

αβ

2 2+ will be a neg a tive value.

So, option (a) and (c) are wrong.

Now, α β

αβα β αβ

αβ

2 2 2 2+ = + −( )

= −9

2

k

k / = −2 9( )k

K

Put 2 9

2( )− = −k

k ⇒ 9 − = −k k

⇒ 9 0= which is not pos si ble

Put 2 9

9( )− = −k

k ⇒ k = − 18

7which is true.

∴ Max i mum value is −9

4. Consider the following statements

1. If a = bc with HCF (b,c) = 1, then HCF (c, bd) = HCF (c, d).

2. If a = bc with HCF (b, c) = 1,then LCM (a, d) = LCM (c, bd).

Which of the above statements is /are correct?

(a) Only 1 (b) Only 2(c) Both 1 and 2 (d) Neither 1 nor 2

_ (c) 1. If a bc= with HCF ( , )b c = 1

⇒ b and c are co-prime num bers.

∴ HCF ( , )c bd = HCF ( , )c d

Which is correct.

2. If a bc= with HCF ( , )b c = 1

⇒ b and c are co-prime num bers

∴ LCM ( , )b c bc=Now, LCM ( , )a d = LCM ( , )bc d

∴ LCM ( , )a d = LCM ( , )c bd

Which is correct.

5. What is the square root of ( . ) .

..

035 070 1

2 25019

2 + + + ?

(a) 1 (b) 2 (c) 3 (d) 4

_ (a) Let y = + + +( . ) .

..

0 35 070 1

2 25019

2

= + × × + +( . ) . ( )

( . ).

0 35 2 0 35 1 1

15019

2 2

2

= + +( . )

( . ).

0 35 1

15019

2

2 =

+135

15019

2.

..

= +( . ) .0 9 0192 = +0 81 019. . = 1

∴ y = =1 1

6. What is the number of digits in 240 ?

(Given that log .10 2 0301= )

(a) 14 (b) 13 (c) 12 (d) 11

_ (b) Let y = 2 40

Taking log both the sides

log logy = 2 40 ⇒ log logy = 40 2

⇒ log .y = ×40 0 3010

[ log . ]Q 2 0 3010=⇒ log .y = 12 040

∴ y anti= log( . )12 040

∴ Number of digits = +( )12 1 = 13

SOLVED PAPER 2017 (I)Combined Defence ServiceCDS

PAPER I Elementary Mathematics

7. If one root of ( ) ( )a a x a x2 25 3 3 1 2 0− + + − + =is twice the other, then what is thevalue of ‘a’?

(a) 2

3(b) − 2

3(c)

1

3(d) − 1

3

_ (a) Let α α, 2 are the roots of the

given equa tion.

∴ α α+ = − −− +

23 1

5 32

( )a

a a

⇒ 33 1

5 32α = − −

− +( )a

a a

⇒ α = − −− +

( )

( )

3 1

3 5 32

a

a a …(i)

Also, ( )( )α α22

5 3=

− +2a a

⇒ α 2

2

1

5 3=

− +a a…(ii)

From Eqs. (i) and (ii)

∴ − −

− +

=

− +( )

( )

3 1

3 5 3

1

5 32

2

2

a

a a a a

⇒ ( )

( )

3 1

9 5 3

1

5 3

2

2 2 2

a

a a a a

−− +

=− +

⇒ ( ) ( )3 1 9 5 32 2a a a− = − +⇒ 9 6 1 9 45 272 2a a a a− + = − +

⇒ 39 26a = ⇒ a = =26

39

2

3

8. What is the remainder when thenumber ( )4444 4444 is divided by 9?

(a) 4 (b) 6 (c) 7 (d) 8

_ (c) Ac cord ing to Eu ler the o rem

a mφ( ) ≡ 1 (mod m)

∴ ( )4444 44444444 6 740 4≡ × + ≡ 44444 ≡ 7 4 ≡ 25 ≡ 7 (mod 9)

∴ Remainder is 7.

9. If xa b a b

a b a b=

+ − −

+ + −, then what

is bx ax b2 2− + equal to ( )b a≠ ?

(a) 0 (b) 1 (c) ab (d) 2ab

_ (a) We have xa b a b

a b a b= + − −

+ + −

⇒ x = + − −+ + −

× + − −+ − −

a b a b

a b a b

a b a b

a b a b

⇒ x = + − −+ − −

( )

( ) ( )

a b a b

a b a b

2

⇒ x = + + − − −a b a b a b

b

2

2

2 2

⇒ = − −2 2

2

2 2a a b

b

⇒ x = − −a a b

b

2 2

⇒ bx = − −a a b2 2

⇒ a bx− = −a b2 2

On squaring both the sides, we get

⇒ ( )a bx− 2 = −a b2 2

⇒ a b x abx a b2 2 2 2 22+ − = −⇒ b x abx b2 2 22 0− + =⇒ bx ax b2 2 0− + =

10. What is the value of ( ) ( )443 547 443 547

443 443 547 547

2 2+ + −× + ×

?

(a) 0 (b) 1 (c) 2 (d) 3

_ (c) ( ) ( )443 547 443 547

443 443 547 547

2 2+ + −× + ×

=

+ + × ×+ + − × ×( ) ( )

( ) ( )

(

443 547 2 443 547443 547 2 443 547

4

2 2

2 2

43 5472 2) ( )+

= ++

2 443 547

443 547

2 2

2 2

[( ) ( ) ]

[( ) ( ) ] = 2

11. If x t t= −1

1 and

y t t t

t

t= > ≠− 1 0 1, , then what is

the relation between x and y ?

(a) y xx y= 1/ (b) x yy x1 1/ /=(c) x yy x= (d) x yy x= 1/

_ (c) We have,

x t t= −1

1 and y t t t

t

t= > ≠−1 0 1, ,

Now, y t xt

t

t=

=−

1

1 …(i)

Again y

x

t

t

t

t

t

=−

−

1

1

1

= = =−−

−−−t t t

t

t t

t

t1

1

1

1

1

⇒ y

xt= …(ii)

From Eqs. (i) and (ii), we get y x y x= /

⇒ y xx y=

12. If A B: := 3 4, then what is the

value of the expression

3 4

3 4

2

2

A B

A B

+−

?

(a) 43

55(b) − 43

55

(c) 47

55(d) cannot be

determined

_ (d) We have, A B: := 3 4

⇒ A

B= 3

4 ⇒ A = 3

4 B

Now,

3 4

3 4

33

44

33

44

2

2

2

2

A B

A B

B B

B B

+−

=

+

−

=+

−

27

164

9

44

2

2

B B

B B

=

+

−

27 64

16

9 16

4

2

2

B B

B B

= +−

27 64

4 9 16

2

2

B B

B B( ) = +

−27 64

4 9 16

B

B( )

But we don’t have the value of B

∴ The value of given expression cannot be determined.

13. If A x x= { : is a multiple of 7}

B x x= { : is a multiple of 5} and

C x x= { : is a multiple of 35} thenwhich one of the following is a nullset?

(a) ( )A B C− ∪ (b) ( )A B C− −(c) ( )A B C∩ ∩ (d) ( )A B C∩ −

_ (d) We have,

A x x= { : is a multiple of 7}

B = {x x: is a multiple of 5}

C = {x x: is a multiple of 35}

∴ A B∩ = {x x: is a multiple of 7 and 5}

= { :x x is a multiple of 35} = C

∴ ( )A B C C C∩ − = − = φ

14. If x = + +2 2 22 3 1 3/ / , then what is the

value of x x x3 26 6− + ?

(a) 3 (b) 2 (c) 1 (d) 0

_ (b) We have,

x = + +2 2 22 3 1 3/ / …(i)

⇒ x − = +2 2 2 11 3 1 3/ /( )

On cubing both the sides, we get

( ) ( )/x − = +2 2 2 13 1 3 3

⇒ x x x3 2 23 2 3 2 8− + −( )( ) ( )( )

= + + +2 2 3 2 1 3 2 1 11 3 3 1 3 2 1 3 3(( ) ( ) ( ) ( )( ) ( ) )/ / /

⇒ x x x3 26 12 8 2− + − = [ . . ]/ /2 32 32 12 3 1 3+ + +

⇒ x x x3 26 12 8 2− + − = [ . . ]/ /3 32 322 3 1 3+ +

⇒ x x x3 2 2 3 1 36 12 8 6 1 2 2− + − = + +[ ]/ /

⇒ x x x x3 26 12 8 6 1 2− + − = + −[ ]

[From Eqs (i)]

⇒ x x x x3 26 12 8 6 1− + − = −( )

⇒ x x x x3 26 12 8 6 6− + − = −⇒ x x x3 26 6 2− + =

15. If x

y

y

x= +24

5 and x y+ = 26, then

what is the value of xy?

38 CDS Solved Paper 2017 (I)

(a) 5 (b) 15 (c) 25 (d) 30

_ (c) We have, x

y

y

x= +24

5

Let x

yz=

∴ zz

= +24

5

1

⇒ zz

z= +24 5

5

⇒ 5 24 5 02z z− − =⇒ 5 25 5 02z z z− + − =

⇒ 5 5 1 5 0z z z( ) ( )− + − =⇒ ( )( )z z− + =5 5 1 0

⇒ z = 5 or − 1

5 ⇒

x

y= 5 or − 1

5

⇒ x

y= 5 Q

x

y≠ −

1

5

⇒ x y= 25 …(i)

Again, we have x y+ = 26

⇒ 25 26y y+ = [From Eqs (i)]

⇒ 26 26y = ⇒ y = 1

∴ x = 25

∴ xy = × =25 1 25

16. What is the solution of the

equation x log log10

10

3310

+

= + +log ( ) ?10 2 3x x

(a) 10 (b) 3 (c) 1 (d) 0

_ (d) We have, x log log10 1010

33

+

= + +log ( )10 2 3x x

⇒ log log10 1010

33

+x

= +log ( )10 2 3x + log1010x

[Q log , log logama a m a= =1 ]

⇒ log . log ( ) .10 1010

33 2 3 10

= +x

x x

( log log log )Q c c ca b ab+ =

⇒ 310

310 2 3

= +x

x x( )

⇒ 310

310 2 3

.( )

x

x

x x= +

⇒ 310 3 10 2 3. . ( )x x x x= +⇒ 3 3 2 3= +x x( )

Let 3x y=∴ 3 2= +y y( )

⇒ 3 2 2= +y y

⇒ y y2 2 3 0+ − =⇒ ( )( )y y+ − =3 1 0

⇒ y = −3 1,

∴ 3 3 1x = − ,

⇒ 3 1x = [ ]Q 3 3x ≠ −⇒ x = 0

17. If α and β are the roots of the

equation x px q2 0+ + = , then

what is α β2 2+ equal to?

(a) p q2 2− (b) q p2 2−(c) p q2 2+ (d) q q2 −

_ (a) We have, α and β are the roots of

the equa tion x px q2 0+ + =∴ α β+ = − p and αβ = q

Now, α β α β αβ2 2 2 2+ = + −( ) = − −( ) ( )p q2 2 = −p q2 2

18. If a b3 3335= + and a b= +5 , then

what is the value of a b+ (giventhat a > 0 and b > 0)?

(a) 7 (b) 9 (c) 16 (d) 49

_ (b) We have, a b3 3335= +⇒ a b3 3 335− = …(i)

and a b= +5 ⇒ a b− = 5 …(ii)

Now, ( ) ( )a b a b ab a b− = − − −3 3 3 3

⇒ ( ) ( )5 335 3 53 = − ab

[Q From Eqs (i) and (ii)]

⇒ 125 335 15= − ab ⇒ ab = 14

Again,

( ) ( )a b a b ab+ = − +2 2 4

= +( ) ( )5 4 142 = +25 56

( )a b+ =2 81

∴ a b+ = 9

19. If 9 3 2187x y = and2 2 4 03 2x y xy− = , then what can

be the value of ( )x y+ ?

(a) 1 (b) 3 (c) 5 (d) 7

_ (c) We have,

9 3 2187x y. = ⇒ ( ) .3 3 21872 x y =⇒ 3 32 7x y+ = ⇒ 2 7x y+ = …(i)

Again,

2 2 4 03 2x y xy. − =⇒ 2 2 43 2x y xy. =⇒ 2 23 2 2x y xy+ = ( )

⇒ 3 2 2x y xy+ = …(ii)

From Eqs. (i) and (ii)

3 2 7 2 2 7 2x x x x+ − = −( ) ( )

⇒ 3 14 4 14 4 2x x x x+ − = −⇒ 4 15 14 02x x− + =

⇒ ( )( )x x− − =2 4 7 0

⇒ x = 27

4,

∴ y = 37

2,

∴ x y+ = 5 or 21

4

20. The pair of linear equations kx y+ + =3 1 0 and 2 3 0x y+ + =intersect each other, if

(a) k = 6 (b) K ≠ 6 (c) k = 0(d) k ≠ 0

_ (b) For the sys tem of lin ear equa tions

a x b y c1 1 1 0+ + = and a x b y c2 2 2 0+ + =Has unique solution

a

a

b

b1

2

1

2

/=

We have,

kx y+ + =3 1 0

2 3 0x y+ + =For unique solution

k

2

3

1≠ ⇒ k ≠ 6

21. The number of prime numbers whichare less then 100 is

(a) 24 (b) 25 (c) 26 (d) 27

_ (b) Prime num bers less than 100 are 2, 3,5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43,47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.

∴ There are 25 prime numbers less than100.

22. The cost of a diamond varies directlyas the square of its weight. A diamondbroke into four pieces with theirweights in the ratio of 1 2 3 4: : : . If theloss in total value of the diamond was ̀ 70000 what was the price of the

original diamond?

(a) ̀100000 (b) ̀140000(c) ̀150000 (d) ̀175000

_ (a) Let the weights of the pieces ofdi a mond are x x x x, , , .2 3 4

∴ Total weight = 10x

∴ Total cost = ( )10 2x = 100 2x …(i)

Cost of each piece = x x x x2 2 2 24 9 16, , ,

∴ Total cost pieces = 30 2x

∴ Total loss = −100 302 2x x = 70 2x

But total loss = 70000

∴ 70 700002x =⇒ x 2 1000=∴ Total cost of original diamond = 100 2x

= ×100 1000 [ ]Q x 2 1000= = `100000

CDS Solved Paper 2017 (I) 39

23. In a 100 m race A runs at a speed of 5

3 m/s. If A give a start of 4 m to B

and still beats him by 12 seconds,what is speed of B

(a) 5

4 m/s (b)

7

5 m/s

(c) 4

3 m/s (d)

6

5 m/s

_ (c) Let the speed of B be x m/s.

Then, according to the question

96 100

5 312

x− =

( / )

⇒ 96

60 12x

− = ⇒ 96

72x

=

⇒ x = 4

3

∴ Speed of B is 4

3 m/s.

24. If 15 men take 21 days of 8 hourseach to do a piece of work, thenwhat is the number of days of 6hours each that 21 women wouldtake, if 3 women would do asmuch as 2 men?

(a) 18 (b) 20 (c) 25 (d) 30

_ (d) We have,

M D H1 1 115 21 8= = =, ,

M D H2 2 214 6= = =, ?,

[Q 3 2W M= ⇒ 21 14W M= ]

∴ M D H

W

M D H

W1 1 1

1

2 2 2

2

× × = × ×

⇒ 15 21 8 14 6 2× × = × ×

W

D

W

⇒ D215 21 8

14 6= × ×

× = 30

25. What number must subtractedfrom both the numerator and the

denominator of the fraction 27

35 so

that it

becomes 2

3?

(a) 6 (b) 8 (c) 9 (d) 11

_ (d) Let the num ber be x. Then,

27

35

2

3

−−

=x

x

⇒ 3 27 2 35( ) ( )− = −x x

⇒ 81 3 70 2− = −x x ⇒ 11 = x

∴ Required number is 11.

26. A sum of ̀ 8,400 was taken as aloan. This is to be paid in twoequal instalments. If the rate of

interest is 10% per annum,compounded annually, then thevalue of each instalment is

(a) ̀4,200 (b) ̀4,480(c) ̀4,840 (d) None of these

_ (c) We have,

Loan amount = ` 8400

and Rate of interest = 10%

Let the instalment money be ` x

We know that,

Compound Interest

= Principle 1Rate

100

Time

+

⇒ x pn

= +

110

100 ⇒ x p

n

=

11

10

⇒ p xn

=

`10

11

Now, put n = 1,

First year instalment =

x10

11 …(i)

and again put n = 2,

Second year instalment =

x10

11

2

…(ii)

Q Loan amount = ` 8400

∴ First year instalment + Secondyear instalment = 8400

⇒ x x10

11

10

118400

2

+

=

⇒ x10

111

10

118400

+

=

⇒ x × × =10

11

21

118400

⇒ x = ` 4840

27. Leela got married 6 years ago.

Today her age is 11

4 times her age

at the time of her marriage. her

son’s age is 1

10 times her age.

What is the present age of her son?(a) 1 year (b) 2 years(c) 3 years (d) 4 years

_ (c) Let the age of Leela at hermar riage was x years.

∴ Present age of Leela = +( )x 6years

According to question,

x x+ =65

4 ⇒

1

46x =

⇒ x = 24

∴ Present age of Leela = +( )24 6

= 30 years

∴ Leela’s son age = 1

10 Age of Leela

= ×1

1030 = 3 years

28. A and B working together canfinish a piece of work in 12 dayswhile B alone can finish it in 30days. In how many days can Aalone finish the work?

(a) 18 days (b) 20 days(c) 24 days (d) 25 days

_ (b) A and B do the work in 12 days

∴ One day work of A and B = 1

12

B alone do the work in 30 days

∴ One day work of B = 1

30

∴ One day work of A = −1

12

1

30

= −5 2

60 = 3

60 = 1

20

∴ A can do the work alone in 20 days.

29. The values of x which satisfy theequation 5 5 261 1+ −+ =x x are

(a) −1 1, (b) 0, 1 (c) 1, 2 (d) −1 0,

_ (a) We have,

5 5 261 1+ −+ =x x

⇒ 5 5 5 5 26. .x x+ =−

⇒ 5 55

526. x

x+ =

Let 5x y=

∴ 55

26yy

+ = ⇒ 5 26 5 02y y− + =

⇒ 5 25 5 02y y y− − + =⇒ 5 5 1 5 0y y y( ) ( )− − − =

⇒ ( )( )y y− − =5 5 1 0 ⇒ y = 51

5,

⇒ 5 5x = or 5 1− ⇒ x = 1 or −1

30. If 5 men can do a piece of work in10 days and 12 women can do thesame work in 15 days, the numberof days required to complete thework by 5 men and 6 women is

(a) 71

2 days (b) 8 days

(c) 91

2 days (d) 12 days

_ (a) We have,

a b x y c= = = = =5 12 10 15 5, , , ,and d = 6

∴ Number of days required tocomplete the work by 5 men and 6women


=+

1

c

ax

d

by

=

×+

×

1

5

5 10

6

12 15

=+

1

1

10

1

30

=+1

3 1

30

= 30

4 = 7

1

2 days

31. A passenger train departs fromDelhi at 6 p.m. for Mumbai. At 9p.m. an express train, whoseaverage speed exceeds that of thepassenger train by 15 km / hourleaves Mumbai for Delhi. Twotrains meet each other mid-route.At what time do they meet, giventhat the distance between thecities is 1080 km?

(a) 4 p.m (b) 2 a.m(c) 12 mid-night (d) 6 a.m

_ (d)

Let the speed of passenger train

= x km/hr

∴ Speed of express train

= +( )x 15 km/hr

Then, according to question

540 540

153

x x−

+=

⇒ 5401 1

153

x x−

+

=

⇒ 54015

153

x x

x x

+ −+

=( )

⇒ 540 15 3 15× = +x x( )

⇒ 2700 152= +x x

⇒ x x2 15 2700 0+ − =⇒ ( )( )x x+ − =60 45 0

⇒ x = 45 [ ]Q x ≠ −60

∴ Time taken by passenger train toreach the meeting point

= =540

4512 Hrs

∴ Both train will meet at (6 pm + 12Hr) = 6 a.m.

32. In a class of 49 students, the ratioof girls to boys is 4 : 3. If 4 girlsleave the class, the ratio of girls toboys would be

(a) 11 : 7 (b) 8 : 7 (c) 6 : 5 (d) 9 : 8

_ (b) Number of boys

=+

× =3

4 349 21

Number of girls =+

× =4

4 349 28

If 4 girls leave the class, thenremaining girls = − =28 4 24

∴ Required ratio = 24 : 21 = 8 7:

33. If a b+ = 5 and ab = 6, then what is

the value of a b3 3+ ?

(a) 35 (b) 40 (c) 90 (d) 125

_ (a) We know that,

a b a b ab a b3 3 3 3+ = + − +( ) ( )

= − × ×( )5 3 6 53 = −125 90 = 35

34. Rajendra bought a mobile with25% discount on the selling price.If the mobile cost him ̀4875, whatis the original selling price of themobile?

(a) ̀6300 (b) ̀6400

(c) ̀6500 (d) ̀6600

_ (c) Let the original selling price ofmobile is ` x.

According to question,

x x− =25

1004875

⇒ xx− =4

4875 ⇒ 3

44875

x =

⇒ x = ×4875 4

3 = 6500

∴ Original selling price of mobile is ` 6500.

35. A 225 m long train is running at aspeed of 30 km / hour. How muchtime does it take to cross a manrunning at 3 km / hour in the samedirection?

(a) 40 seconds (b) 30 seconds(c) 25 seconds (d) 15 seconds

_ (b) We have,

Speed of train = 30 km/h

and speed of man = 3 km/h

∴ Relative speed of train = Speed of train − Speed of man

= −( )30 3 km/h = 27 km/h

= ×275

18 m/s = 15

2 m/s

To cross the man, train have to cover the distance equal to its length.

∴ Time to cross = Distance

Speed

=

225

15

2

sec = 30 sec.

36. Which one among the following is the largest?

(a) 7

9(b)

11

14(c)

3

4(d)

10

13

_ (b) We have, 7

9

11

14

3

4

10

13, , ,

L.C.M. of ( , , , )9 14 4 13 3276=Now, make the denominator of all thefractions equal to 3276. We get

2548

3276

2574

3276

2457

3276

2520

3276, , ,

∴ Largest number = 2574

3276 = 11

14

37. The difference between the simple and the compound interest on a certainsum of money at 4% per annum in 2years is ̀10. What is the sum ?

(a) ̀5,000 (b) ̀6,000

(c) ̀6,250 (d) ̀7,500

_ (c) We have,

R = 4% and T = 2 years

Now, Difference between compoundinterest and simple interest of 2 years

=

PR

100

2

Where P is sum.

∴ 104

100

2

=

P ⇒ 101

25

2

=

P

⇒ P = 10 25 2( ) ⇒ P = ` 6250

38. If a% of a b+ % of b = 2% of ab, then

what percent of a is b ?

(a) 50% (b) 75%(c) 100% (d) Cannot be determined

_ (c) We have,

a% of a b+ % of b = 2% of ab

⇒ aa

bb ab

100 100

2

100× + × = ×

⇒ a b ab2 2 2+ =⇒ a ab b2 22 0− + =⇒ ( )a b− =2 0

⇒ a b=

∴ Required percentage = ×b

a100

= ×a

a100 = 100%

39.5

9th part of the population in a village

are males. If 30% of the males aremarried, the percentage of unmarriedfemales in the total population is

(a) 202

9(b) 27

7

9(c) 27

7

9(d) 29

2

9

_ (c) Let the population of village = x

∴ Males = 5

9x

∴ Married man = 30% of 5

9x


6 P.M.

D

9 P.M.

M540 km 540 km

= ×30

100

5

9x = x

6

∴ Married female = Married man = x

6

Now, Total females = −xx5

9 = 4

9x

∴ Unmarried females = −4

9 6x

x

= 5

18x

∴ Required percentage

=

×5

18100

x

x = 500

18%

= 250

9 % = 27

7

9 %

40. Sunil wants to spend ̀200 on twotypes of sweets, costing ̀7 and `10 repectively. What is themaximum number of sweets hecan get so that no money is leftover?

(a) 25 (b) 26 (c) 27 (d) 28

_ (b) Let number of sweets purchased at the rate ` 7 and ` 10 be x and yrespectively.

∴ According to the question,

7 10 200x y+ =

⇒ y x= −207

10

For maximum value of number ofsweets, the sweet of lower cost mustbe greater than sweet at higher cost.i.e. x y>For x y> , x must be multiple of 10i.e. 10, 20, 30, 40, …

For x ≥ 30, y is negative

∴ x = 20

∴ y = − ×207

1020 = 6

∴ Maximum number of sweets = +20 6 = 26

41. What is the LCM of x x x2 28 5 6+ + +, and

x x x3 24 4+ + ?

(a) x x x x x( ) ( ) ( )+ + − +2 3 2 42 2

(b) x x x x x( ) ( ) ( )− − + +2 3 2 42 2 (c) x x x x x( ) ( ) ( )+ − − +2 3 2 42 2

(d) x x x x x( ) ( ) ( )+ − − +2 3 2 42 2

_ (a) We have,

x x3 3 38 2+ = +( ) ( )

= + − +( ){( ) ( )( ) ( ) }x x x2 2 22 2

= + − +( )( )x x x2 2 42

x x x x x2 25 6 2 3 6+ + = + + + = + + +x x x( ) ( )2 3 2

= + +( )( )x x2 3

and x x x x x x3 2 24 4 4 4+ + = + +( )

= +x x( )2 2

∴ L.C.M.

= + + − +x x x x x( ) ( )( )2 3 2 42 2

42. The HCF pf two expressions p and

q is 1. What is the reciprocal oftheir LCM?

(a) p q+ (b) p q−(c) pq (d) ( )pq −1

_ (d) We have,

HCF of two expressions p and q = 1

Now, we know that

LCM × HCF = Product of numbers

⇒ LCM × 1 = ×p q

⇒ LCM = pq

∴ Reciprocal of LCM = 1

pq = −( )pq 1

43. What is the value of 412

1253 ?

(a) 13

5(b) 1

2

5(c) 1

4

5(d) 2

2

5

_ (a) 412

1253 = × +4 125 12

1253

= +500 12

1253 = 512

1253 =

8

5

3

3

=

8

5

31

3

=

×8

5

31

3 = 8

5 = 1

3

5

44. A theif is spotted by a policemanfrom a distacne of 100 m. Whenthe policeman starts the chase, the theif also starts running. If thespeed of the theif is 8 km / hour,then how far will the theif have torun before he os overtaken?

(a) 200 m (b) 300 m

(c) 400 m (d) 500 m

_ (c) Let us assume that the time totaken by the policeman to catch thethief is t hrs. Hence, after time t , thethief will be at a distance of ( )t × 8 kmfrom where he started.

At the same time he will be at adistance if ( . )t × +8 01 km from where the police started.

Now, distance run by police in time t t= ×( )10 km.

∴ According to question,

10 8 01t t= + .

⇒ 2 01t = . ⇒ t = 0 05. Hrs.

∴ Distance run by thief in 0.05 Hrs

= ×8 0 05. km = 0 4. km = 400 m

45. Aman and Alok attempted to solve aquadratic equation. Aman made amistake in writing down the constantterm and ended up in roots (4, 3). Alokmade a mistake in writing down thecoefficient of x to get roots (3, 2). Thecorrect roots of the equation are

(a) − −4 3, (b) 6, 1 (c) 4, 3 (d) − −6 1,

_ (b) Let quadratic equation be

ax bx c2 0+ + =If α and β are roots, then

α β+ = −b

a and αβ = c

a

Since Aman made a mistake in writingdown the constant term.

∴ α β+ = + =4 3 7

and Alok made a mistake in writing downthe coefficient of x.

∴ αβ = × =3 2 6

So, equation will be

x b x2 0− + + =( )α αβ⇒ x x2 7 6 0− + =⇒ ( )( )x x− − =6 1 0

⇒ x = 6 1,

46. Consider the following statements

1. Of two consecutive integers one iseven.

2. Square of an odd integer is of theform 8 1n +

Which of the above statements is / arecorrect ?

(a) Only 1 (b) Only 2(c) Both 1 and 2 (d) Neither 1 nor 2

_ (c) 1. Any integer number is either even or odd. Let first number be odd i,e. 2 1n + ,then next consecutive number will be 2 2 2 1 2n n m+ = + = =( ) even. If we takefirst number as even, then next numberwill be 2 1n + = odd.

So, one number is always even.

2. 1 1 8 0 12 = = × + 3 9 8 1 12 = = × + 5 25 8 3 12 = = × + and so on

∴ Square of any odd integer is always ofthe form 8 1n + .

47. The system of equations 2 4 6x y+ =and 4 8 8x y+ = is

(a) consistent with a unique solution

(b) consistent with infionitely infinitely

many solutions

(c) inconsistent

(d) None of the above


_ (c) We have,

2 4 6x y+ =and 4 8 8x y+ =∴ a b c1 1 12 4 6= = = −, , ( )

and a b c2 2 24 8 8= = = −, ,

Now,a

a1

2

2

4

1

2= = ,

b

b1

2

4

8

1

2= =

c

c1

2

6

8

3

4= −

−=

Since a

a

b

b

c

c1

2

1

2

1

2

= ≠

∴ System of equation is inconsistent.

48. ( )N p − −1 1 is a multiple of p, if N is

prime to p and p is a

(a) prime number(b) rational number(c) real number(d) composite number

_ (a) According to Fermat’s theorem–

If p is a prime number and n is primeto p, then np− −1 1 is divisible by p.

49. The ratio of two numbers is 1 5:

and their product is 320. What isthe difference between the squareof these two numbers?

(a) 1024 (b) 1256 (c) 1536 (d) 1640

_ (c) Since the number are in the ratio1 : 5.

∴ Number are x and 5x

Now, ( )( )x x5 320=⇒ 5 3202x =⇒ x 2 64= ⇒ x = 8

∴ Numbers are 8 and 40.

∴ Difference between their squares

= −( ) ( )40 82 2 = −1600 64 = 1536

50. 25 kg of alloy X is mixed with 125kg of alloy Y . If the amount of leadand tin in the alloy X is the ratio 1 :2 and the amount of lead and tin inthe alloy Y is in the ratio 2 : 3, thenwhat is the ratio of lead to tin in the mixture?

(a) 1 : 2 (b) 2 : 3 (c) 3 : 5 (d) 7 : 11

_ (d) Amount of lead in

X =+

×1

1 225 = 25

3 g

Amount of tin in X =+

×2

1 225

= 50

3 kg

Amount of lead in Y =+

×2

2 3125

= ×2 125

5 = 50 kg

Amount of tin in Y =+

×3

2 3125

= ×3

5125 = 75 kg

When X and Y are mixed, then

Amount of lead = +25

350 = 175

3 kg

Amount of tin = +50

375 = 275

3 kg

∴ Ratio of lead to tin in the mixture

= 175

3

275

3: = 175 275: = 7 11:

51. The mean of 5 numbers is 15. If one more number is included, themean of the 6 numbers becomes17. What is the included number?

(a) 24 (b) 25 (c) 26 (d) 27

_ (d) Since mean of 5 numbers is 15.

∴ Sum of these 5 numbers = Mean ×Number of data = ×15 5 = 75

Let the number included is x.

∴ 75

617

+ =x

⇒ 75 17 6+ = ×x

⇒ x = −102 75 ⇒ x = 27

52. The mean marks obtained by 300students in a subject are 60. Themean of top 100 students wasfound to be 80 and the mean of last 100 students was found to be 50.The mean marks of the remaining100 students are

(a) 70 (b) 65 (c) 60 (d) 50

_ (d) Total marks of middle 100students

= × − × − ×300 60 100 80 100 50

= − −18000 8000 5000

= −18000 13000 = 5000

∴ Mean marks of remaining 100

students = 5000

100 = 50

53. Consider the followingdistribution

Class Frequency

0-20 17

20-40 28

40-60 32

60-80 f

80-100 19

If the mean of the above distribution is 50, what is the value of?

(a) 24 (b) 34 (c) 56 (d) 96

_ (a) we have,

Class Frequency (f1)

ClassMarks (x1)

f x1 1

0-20 17 10 170

20-40 28 30 840

40-60 32 50 1600

60-80 f 70 70 f

80-100 19 90 1710

Σ f f1 96= + Σ f x1 1 = +4320 70f

Now,

Mean = ΣΣf x

f1 1

1

⇒ 504320 70

96= +

+f

f

⇒ 50 ( )96 4320 70+ = +f f

⇒ 4800 50 4320 70+ = +f f

⇒ 480 = 20f ⇒ f = =480

2024

54. In a pie diagram there are four sliceswith angles 150º, 90º, 60º. A new piediagram is formed by deleting one ofthe slices having angle 60º in the given pie diagram. In the new pie diagram

(a) The largest slice has angle 150º(b) The smallest slice has angle 70º(c) The largest slice has angle 180º(d) The smallest slice has angle 90º

_ (c) When one slice of pie-diagram isdeleted, the portion of other slices willincrease in proportionally.

New total = ° + ° + °150 90 60 = °300

New slice of 150150

300360° = °

°× ° = °180

New slice of 9090

300360° = °

°× ° = °108

New slice of6060

360360° = °

°× ° = °72

∴ The smallest slice has angle 72° and the largest slice has angle 180°.

55. In an asymmetrical distribution, if themean and median of the distributionare 270 and 220 repectively, then themode of the date is

(a) 120 (b) 220 (c) 280 (d) 370

_ (a) We know that,

3 Median = Mode + 2 Mean

⇒ Mode = 3 Median − 2 Mean

= × − ×3 220 2 270

= −660 540 = 120


56. Let a, b, c, d, e, f, g be consecutiveeven numbers and j, k, l, m, n beconsecutive odd numbers. What is the average of all the numbers ?

(a) 3

2

( )a n+(b)

( )5 7

4

l d+

(c) ( )a b m n+ + +

4(d) None of these

_ (d) Let a x= (even)

b x= + 2, c x= + 4, d x= + 6

e x= + 8, f x= + 10, g x= + 12

a b c d e f g x+ + + + + + = +7 42

= +7 6( )x = 7d

And j y= (odd), k y= + 2,

l y= + 4, m y= + 6, n y= + 8

j k l m n y+ + + + = +5 20

= +5 4( )y = 5l

∴ Average of all the numbers

= +7 5

12

d l

57. An individual purchases threequalities of pencils. The relevantdata is given below

Quality Price PerPencil (in )̀

Money spent

INR (in )̀

A 1.00 50

B 1.50 x

C 2.00 20

It is known the the average priceper pencil is ̀ 1.25. What is thevalue of x?

(a) ̀10 (b) ̀30 (c) ̀40 (d) ̀60

_ (b) Number of pencils of quality

A = =50

150

Number of pencils of quality

Bx

x= =15

2

3.

Number of pencils of quality

C = =20

210

∴ Total number of pencils

= + +502

310x = +60

2

3x

Total money spent = + +50 20x

= +70 x

Now, Average price

= Total money spent

Total number of pencils

⇒ 12570

602

3

. = +

+

x

x

⇒ 125 602

370. +

= +x x

⇒ 752 5

370+ = +.

x x ⇒ 50 5

3= .

x

⇒ x = ` 30

58. Consider the following frequencydistribution

x Frequency Cumulative

Frequency

1 8 8

2 10 18

3 f1 29

4 f2 45

What are the values of f 1 andf 2 respectively?

(a) 10 and 17 (b) 17 and 10(c) 11 and 16 (d) 16 and 11

_ (c)

x Frequency CumulativeFrequency

1 8 8

2 10 18

3 f1 18 + f1

4 f2 18 + f1 + f2

On comparing, we get

18 291+ =f

and 18 451 2+ + =f f

∴ f1 11= and f2 16=

59. If D is the number of degrees and Ris the number of radians in anangle θ, then which one of thefollowing is correct?

(a) πD R= 180 (b) πD R= 90(c) πR D= 180 (d) πR D= 90

_ (c) We know that,

π Radian = °180

∴ 1 Radian = °180

π

⇒ R Radian = °180

π

⇒ π R = °180 D

60. What is the minimum value of 9 42 2tan cotθ θ+ ?

(a) 6 (b) 9 (c) 12 (d) 13

_ (c) We know that, AM GM≥

∴ 9 4

2

2 2tan cotθ θ+ ≥

[( tan )( cot )] /9 42 2 1 2θ θ

⇒ 9 4

26

2 2tan cotθ θ+ ≥

[ tan .cot ]Q θ θ = 1

⇒ 9 4 122 2tan cotθ θ+ ≥∴ Minimum value of 9 42 2tan cotθ θ+ is 12.

61. If x yz

sin costan

tanθ θ θ

θ= =

−2

1 2, then

what is 4 2 2 2z x y( )+ equal to?

(a) ( )x y2 2 3+ (b) ( )x y2 2 2−(c) ( )x y2 2 3− (d) ( )x y2 2 2+

_ (b) Let x yz

ksin costan

tanθ θ θ

θ= =

−=2

1 2

Taking x ysin cosθ θ=

⇒ y

x= tanθ …(i)

Now, x k= cosec θ …(ii)

y k= sec θ …(iii)

and z k= −

1

2

2tan

tan

θθ

=−

k

y

xy

x

1

2

2

2

.

= − ×

k

x y

x

x

y

2 2

2 2 = −

k

x y

xy

2 2

2 …(iv)

From Eqs (ii) and (iii)

x y k2 2 2+ = (cosec2θ + sec )2θ = + +k2 2 2 2(tan cot )θ θ = +k2 2(tan cot )θ θ

⇒ x y ky

x

x

y

2 2 22

+ = +

= +

k

x y

xy

22 2

2

⇒ kx y

x y

xy

22 2

2 22

= +

+

= + ×+

( )( )

x yx y

x y

2 22 2

2 2 2 =

+x y

x y

2 2

2 2

From Eqs. (iv)

zx y

x y

x y

xy

22 2

2 2

2 2

2=

+

−

∴ 4 2 2 2z x y( )+

⇒ 42

2 2

2 2

2 22

2 2x y

x y

x y

xyx y

+

−

+( )

⇒ ( )x y2 2 2−

62. If cos cos cosθ θ θ1 2 3 3+ + = then

what is sin sin sinθ θ θ1 2 3+ + equalto?

(a) 0 (b) 1 (c) 2 (d) 3

_ (a) We have,

cos cos cosθ θ θ1 2 3 3+ + = …(i)

Since 0 1≤ ≤cosθ∴ From Eqs. (i) to be true


cos cos cosθ θ θ1 2 3 1= = =∴ θ θ θ π1 2 3 2= = = n

Now, sin sin sinθ θ θ1 2 3+ += +sin sin sin2 2 2n n nπ π + π= + +0 0 0 [ sin ]Q 2 0nπ == 0

63. What is the value of θ whichsatisfies the equation cos tanθ θ+ = 1 ?

(a) 0º (b) 30º (c) 45º (d) 60º

_ (a) We have,

cos tanθ θ+ = 1

When θ = °0

cos tan0 0 1 0° + ° = + = 1

When θ = °30

cos tan30 303

2

1

3° + ° = + = 5

2 3

When θ = °45

cos tan45 451

21° + ° = + = +1 2

2

When θ = °60

cos tan60 601

23° + ° = +

= +1 2 3

2

∴ It is clear that, cos tanθ θ+ = 1 isvalid only when θ = °0 .

64. What is the value of

sincos cos

xx x

1

1

1

1++

− ?

(a) 2 (b) 2 2 (c) 2 tanx(d) 0

_ (a) We have,

sincos cos

xx x

1

1

1

1++

−

= 1 − + ++ −

sincos cos

( cos )( cos )x

x x

x x

1

1 1

=−

sincos

xx

2

1 2 = sin

sinx

x

22

= sin .sin

xx

2 = 2

65. What is cos sin

cos sin

4 4

2

A A

A A

−−

equal to?

(a) cos sin2 2A A− (b) cos sinA A−(c) 1 (d) 2

_ (c) We have, cos sin

cos sin

4 4

2 2

A A

A A

−−

= −−

(cos ) (sin )

cos sin

2 2 2 2

2 2

A A

A A

= + −−

(cos sin )(cos sin )

(cos sin )

2 2 2 2

2 2

A A A A

A A

[ ( )( )]Q a b a b a b2 2− = + −= +cos sin2 2A A = 1

66. If 7sin cos , º2 23 4 0 90x x x+ = < < ,

then what is the value of tan x?

(a) 2 (b) 1 (c) 3

2(d)

1

3

_ (d) We have,

7 3 42 2sin cosx x+ =

⇒ 7 342

2

2

2 2

sin

cos

cos

cos cos

x

x

x

x x+ =

⇒ 7 3 42 2tan secx x+ =⇒ 7 3 4 12 2tan ( tan )x x+ = +⇒ 7 3 4 42 2tan tanx x+ = +⇒ 3 12tan x =

⇒ tan2 1

3x = [ ]Q 0 90< < °x

⇒ tanx = 1

3

67. An aeroplane flying at a height of300 m above the ground passesvertically above another plane atan instant when the angles ofelevation of the two planes fromthe same point on the ground are60º and 45º respectively. What isthe height of the lower plane fromthe ground?

(a) 100 3 m (b) 100

3 m

(c) 50 3 m (d) 150 3 1( )+

_ (a) Let the height of the lower planefrom the ground be h m and PA x=

Now, in ∆BAP,

tan45° = AB

AP

1 = h

x

h x= …(i)

Now In ∆ APC

tan60300° = =AC

AP x

⇒ x = 300

3 …(ii)

From Eqs. (i) and (ii), we get

h x= = 300

3

⇒ h = ×300

3

3

3 = 300 3

3 = 100 3 m

68. If x a b= +cos sinθ θ and

y a b= −sin cosθ θ then what is x y2 2+ equal to?

(a) 2ab (b) a b+(c) a b2 2+ (d) a b2 2−

_ (c) We have,

x a b= +cos sinθ θand y a b= −sin cosθ θ∴ x y a b2 2 2+ = +( cos sin )θ θ + −( sin cos )a bθ θ 2

= + +a b ab2 2 2 2 2cos sin cos sinθ θ θ θ + + −a b ab2 2 2 2 2sin cos sin cosθ θ θ θ= + +a a b2 2 2 2 2 2cos sin sinθ θ θ

+ b2 2cos θ= +a b2 2 [ sin cos ]Q 2 2 1θ θ+ =

69. From the top of a building 90 m high,the angles of depression of the top andthe bottom of a tree are 30º and 45ºrespectively. What is the height of thetree?

(a) 30 3 m (b) 90 30 3− m(c) 90 30 3+ m (d) 60 30 3+ m

_ (b)

Let AB and CD be the building and treerespectively.

Now, in ∆ABD

tan45° = AB

BD

⇒ 190=BD

⇒ BD = 90 m …(i)

Again, in ∆ AEC

tan30° = AE

EC[Q EC BD= = 90 m]

⇒ 1

3 90= AE

⇒ AE = 90

3 = 30 3 m

∴ Height of tree = =CD BE = −AB AE

= −( )90 30 3 m


45º 60º

P A

B

C

x

h

300 m

45ºB D

E

A

x

h m

90 m

45º30º

Cx30º

70. Which one of he following triplesdoes not represent the sides of atriangle?

(a) (3, 4, 5) (b) (4, 7, 10)(c) (3, 6, 8) (d) (2, 3, 6)

_ (d) If a b c, , represents the sides of

the triangle, then sum of the twosides must be greater than the thirdside.

Since, 2 3 6+ <∴ (2, 3, 6) can’t be side of a triangle.

71. If the perimeter of a rectangle is 10 cm and the area is 4 cm2, then itslength is

(a) 6 cm (b) 5 cm

(c) 4.5 cm (d) 4 cm

_ (d) Let l and b the length andbreadth of the rectangle respectively.

Now, according to the question

2 10( )l b+ = ⇒ l b+ = 5 …(i)

and lb = 4 …(ii)

From Eqs. (i) and (ii), we have

l l( )5 4− = ⇒ 5 42l l− =⇒ l l2 5 4 0− + =⇒ ( )( )l l− − =4 1 0 ⇒ l = 4 1,

72. The angles of a triangle are in theratio 2 4 3: : . The smallest angle ofthe triangle is

(a) 20º (b) 40º (c) 50º (d) 60º

_ (b) Since the angles of a triangle arein the ratio 2 : 4 : 3.

∴ Smallest angle =+ +

× °2

2 4 3180

= × °2

9180 = °40

73. A ball of radius 1 cm is put into acylindrical pipe so that it fitsinside the pipe. If the length of thepipe is 14 m, what is the surfacearea of the pipe?

(a) 2200 square cm(b) 4400 square cm(c) 8800 square cm(d) 17600 square cm

_ (c) Diameter of the cylinder

= Diameter of spherical ball = 2 cm

∴ Radium of cylinder = 1 cm

It is given that length of cylinder

= 14 m = 1400 cm

∴ Surface area of pipe

= × × ×222

71 1400

= 8800 square cm.

74. The areas of two circular fields are in the ratio 16 49: . If the radius ofthe bigger field is 14 m, then whatis the radius of the smaller field?

(a) 4 m (b) 8 m (c) 9 m (d) 10 m

_ (b) Let r1 and r2 be the radius of the

circles.

∴ ππ

r

r

12

22

16

49= ⇒

r

r

12

22

16

49=

⇒ r

r1

2

4

7= ⇒ r r1 2

4

7=

⇒ r14

714= × [Q r2 14= m]

⇒ r1 8= m

75. Let ABCD be a rectangle. Let P Q R S, , , be the mid-points of sides AB BC CD DA, , , respectively.Then the quadrilateral PQRS is a

(a) Square

(b) Rectangle, but need not be a

square

(c) Rhombus, but need not be a

square

(d) Parallelogram, but need not be a

rhombus

_ (c)

Given, ABCD is a Rectangle

∴ ∠ = ∠ = ∠A B C = ∠ = °D 90

and AD BC= , AB DC=[Q In a rectangle each angle is 90°

and opposite sides are equal]

Also, given P Q R, , and S aremid-points of AB BC CD, , and DA,respectively.

In ∆ABD, P and S are the mid-pointsof AB and DA, respectively.

∴ PS BD|| and PS BD= 1

2…(i)

[by mid-point theorem]

and in ∆ACD R, and S are themid-points of DC and AD,respectively.

∴ SR AC|| and SR AC= 1

2…(ii)

[by mid-point theorem]

In rectangle ABCD, AC BD=

[Since, diagonals of a rectangle are equal.]

∴ PS SR= [from Eqs. (i) and (ii)] …(iii)

Now, in ∆ASP and ∆BQP,

AP BP= [Q P is mid-point of AB]

AS BQ=[Q AD BC= and S Q, are mid-points of

AD and BC]

∠ = ∠A B [each 90°]∴ ∆ ∆ASP BQP≅

[by SAS congruence rule]

Then, PS PQ= [by CPCT] …(iv)

Similarly, In ∆RDS and ∆RCQ,

SD CQ=[Q AD BC= and S Q, are mid-points of

AD and BC]

DR RC= [Q R is mid-point of DC]

∠ = ∠C D [each 90°]∴ ∆ ∆RDS RCQ≅

[by SAS congruence rule]

Then, SR RQ= [by CPCT] …(v)

From Eqs. (iii), (iv) and (v), we get

PS SR RQ PQ= = =Hence, quadrilateral PQRS is a rhombus.

76. Let P Q R, , be the mid-points of sides

AB BC CA, , respectively of a triangle ABC. If the area of the triangle ABC is5 square units, then the area of thetriangle PQR is

(a) 5

3 square units (b)

5

2 2 square units

(c) 5

4 square units (d) 1 square unit

_ (c)

We know that, ar PQR

ar ABC

( )

( )

∆∆

= 1

4

⇒ ar PQR ar ABC( ) ( )∆ ∆= 1

4

⇒ ar PQR( )∆ = ×1

45 = 5

4 square units

77. If each of the dimensions of arectangle is increased by 200%, thearea is increased by

(a) 300% (b) 400%

(c) 600% (d) 800%

_ (d) Let the length and width of therectangle are x and y respectively.

Then, area of rectangle = xy

Now, Length of rectangle after increasingby 200%

= +x x200

100 = 3x


D R C

A P B

S Q

B Q C

P R

A

Width of rectangle after increasingby 200%

= +y y200

100 = 3y

∴ New area = ( )( )3 3x y = 9xy

∴ Percentage increase in area

= − ×9100

xy xy

xy = ×8

100xy

xy = 800%

78. Three circles each of radius 3.5 cmtouch one another. The areassubtended between them is

(a) 6 3 2( )π − square units (b) 6 2 3( )π − square units

(c) 49

82 3( )− π square units

(d) 49

83( − π) square units

_ (c)

Q AF = 3 5. cm and BF = 3 5. cm

∴ AB AF BF= + = +3 5 3 5. . = 7 cm

∴ AB BC AC= = = 7 cm

∴ ∆ABC is an equilateral triangle

Now, Required area = Area of ∆ ABC − ×3 area of sector AFE

= − × ×3

47 3

60

3603 52 2( ) ( . )π

= 49 3

4 −

49

8π = −49

82 3( )π cm2

79. The area of a regular hexagon ofside ‘a’ is equal to

(a) 2

3

2a square units

(b) 3 3

2

2a square units

(c) 1

3

2a square units

(d) 3

2

2a square units

_ (b)

In ∆OBC

∠ = °BOC 60

[ABCDEF is a regular hexagon]

Also, OC OB=

∴ ∠ = ∠ = °OCB OBC 60

[ ]Q ∠ + ∠ + ∠ = °OBC OCB BOC 180

∴ ∆OBC is an equilateral triangle.

Now, let the side of hexagon be a

∴ BM CMa= =2

∴ OM OB BM= −2 2

= −aa2

2

4 = 3

2a

∴ area (∆OBC)

= × ×1

2BC OM

= × ×1

2

3

2a a = 3

4

2a

∴ Area of hexagon ABCDEF = ×6area (∆OBC)

= ×63

4

2a = 3 3

2

2a

80. ABCDEF is a regular polygon.Two poles at C and D are standingvertically and subtend angles ofelevation 30º and 60º at Arespectively. What is the ratio ofthe height of the pole at C to thatof the pole at D?

(a) 1 : 1 (b) 1 2 3:

(c) 2 3 1: (d) 2 3:

_ (b)

In regular polygon ABCDEF, ∠ABCis angle 120°∴ In ∆ABC,

cos.

1202

2 2 2

° = + −x x AC

x x

⇒ − = −1

2

2

2

2 2

2

x AC

x

⇒ − = −x x AC2 2 22

⇒ − = −3 2 2x AC

⇒ AC x= 3

In ∆ACD, ∠ = °C 90

AD AC CD2 2 2= + = +( )3 2 2x x = 4 2x

⇒ AD x= 2

Now, let height of pole at C be h1

∴ tan30 1° = h

AC

⇒ 1

3 31= h

x ⇒ h x1 =

and let height of pole at D is h2

∴ tan60 2° = h

AD

32

2= h

x ⇒ h x2 2 3=

∴ h

h

x

x1

2 2 3

1

2 3= =

⇒ h h1 2 1 2 3: :=

81. Two parallel chords of a circle whosediameter is 13 cm are respectively 5 cm and 12 cm in length. If both the chordsare on the same side of the diameter,then the distance between thesechords is

(a) 5.5 cm (b) 5 cm (c) 3.5 cm (d) 3 cm

_ (c)

Since AB and CD are parallel then OMand ON are perpendicular to AB and CDrespectively.

We have,

AB = 12 cm ⇒ AM = 1

2 AB = 6 cm

CD = 5 cm ⇒ CN = 1

2 CD = 2.5 cm

and OA = OC = × =1

213 6 5. cm

Now, In ∆OAM

OM OA AM2 2 2 2 26 5 6 625= − = − =. .

⇒ OM = 2.5 cm

Again, In ∆OCN

ON OC CN2 2 2 2 26 5 2 5 36= − = − =. .

⇒ ON = 6 cm

∴ Distance between AB and CD = MN

= ON − OM = 6 − 2.5 = 3.5 cm

82. If the radius of a right circular cone isincreased by p% without increasing its height, then what is the percentageincrease in the volume of the cone?

(a) p2 (b) 2 2p

(c) p2

100(d) p

P2

100+

_ (d) Let r and h be the original radius andheight of the cone respectively.

Again, let ′r and ′b be the new radius andheight of the cone respectively.


′ = +r r p% of r = rP

r+100

= +

100

100

Pr


60º 60º

60º

B CD

F E

A

A

F

E

B

C

M

D

O

O

BM

C

a a

a2

a2

E

F

A

D

C

B

xx

O

M

N

A B

C C

and ′ =h h

Now, Original volume = 1

3

2πr h

and New volume = × ′1

3

1 2π( )r h

∴ Percentage increase in the volume

=−

×New volume Original volume

original volume100

=′ ′ −

×

1

3

1

31

3

100

2 2

2

π π

π

r h r h

r h

= ′ ′ − ×r h r h

r h

2 2

2100

=

+

−×

100

100100

22 2

2

Pr h r h

r h

= + −( )100 100

100

2 2P = +( )200

100

P P

= +

PP

2100

83. A copper wire when bent in theform of a square encloses an areaof 121 cm2. If the same wire is bentin the form of a circle, it enclosesan area equal to

(a) 121 cm2

(b) 144 cm2

(c) 154 cm2

(d) 168 cm2

_ (c) Let the length of the square be acm

∴ a2 121=⇒ a = 11 cm

∴ length of the wire = Perimeter ofsquare of side a

= 4 a = 4 11 44× = cm

Let the radius of circle be r cm

∴ Perimeter of circle = Length of wire

⇒ 2 44πr =

⇒ r =×

=44

222

7

7 cm

∴ Area enclosed by circle = πr2

= ×22

77 2( ) =154 cm2

84. ABC is a triangle and D is a pointon the side BC. If BC = 12 cm, BD = 9 cm and ∠ = ∠ADC BAC,then the length of AC is equal to

(a) 5 cm (b) 6 cm

(c) 8 cm (d) 9 cm

_ (b)

In ∆ABC and ∆DAC

∠ = ∠BAC ADC [Given]

∠ = ∠ACB DCA [Common]

∴ ∆ ∆ABC DAC~ [By AA similarity]

∴ AC

DC

BC

AC=

⇒ AC DC BC2 = ×⇒ AC 2 3 12= ×⇒ AC 2 36= ⇒ AC = 6 cm

85. If the surface area of a sphere isreduced to one ninth of the area,its radius reduces to

(a) One-fourth (b) One-third(c) One-fifth (d) One-ninth

_ (b) Let original and new radius of thesphere are r and ′r respectively.


41

942 2π π′ =r r

⇒ ′ =r r2 21

9 ⇒ ′ =r r

1

3

86. In a trapezium ABCD, AB isparallel to CD and the diagonalsintersect each other at O. What isthe ratio of OA to OC equal to?

(a) Ratio of OB to OD(b) Ratio of BC to CD(c) Ratio of AD to AB(d) Ratio of AC to BD

_ (a)

Since AB CD||

∴ ∠ = ∠OAB OCD …(i)

and ∠ = ∠OBA ODC…(ii)

Now, In ∆AOB and ∆COD

∠ = ∠OAB OCD [From (i)]

∠ = ∠OBA ODC [From (ii)]

∠ = ∠AOB COD

[Vertically opposite angle]

∆ ∆AOB COD~

[By AA similarity rule]

∴ OA

OC

OB

OD=

87. Ice-cream, completely filled in acylinder of diameter 35 cm and height32 cm, is to be served by completelyfilling identical disposable cones ofdiameter 4 cm and height 7 cm. Themaximum number of persons that canbe served in this way is

(a) 950 (b) 1000 (c) 1050(d) 1100

_ (c) Number of persons

= Volume of the cylinder

Volume of each cone =

π

π

35

232

1

32 7

2

2

( )

( ) ( )

= × × ×× × × ×

35 35 32 3

2 2 2 2 7 =1050

88. The radius of a circle in increased sothat its circumference increases by15%. The area of the circle willincreases by

(a) 31.25% (b) 32.25%

(c) 33.25% (d) 34.25%

_ (b) Let original radius of the circle be rand new radius be ′r .

Since circumference is increased by 15%

∴ 2 2

2100 15

π ππ

′ − × =r r

r

⇒ ′ =r r115

100

Now, percentage increase in area

= − ×New area Old area

old area100

= ′ − ×π ππ

r r

r

2 2

2100 = ′ − ×r r

r

2 2

2100

=

−×

115

100100

22

2

r r

r

= − ×115 100

100100

2 2

2

= −13225 10000

100 = 3225

100 = 32.25%

89. ABCD is a rectangle. The diagonals AC and BD intersect at O. If AB = 32cm and AD = 24 cm, then what is ODequal to?

(a) 22 cm (b) 20 cm

(c) 18 cm (d) 16 cm

_ (b)

We have,


A

B D C9 cm 3 cm

D C

A B

O

(alternate interior angles)

D C

A B

O24 cm

32 cm

AB = 32 cm, AD = 24 cm

Since, ∠ = °A 90

∴ BD AB AD2 2 2= + = +( ) ( )32 242 2

= +1024 576 = 1600

∴ BD = 40 cm

Since, diagonals of a rectanglebisects each other

∴ OD BD= 1

2 = ×1

240 = 20 cm

90. A field is divided into four regionsas shown in the given figure.What is the area of the field insquare metres?

(a) 63

45+ (b) 5

3

23+

(c) 93

415+ (d) 7 2 2+

_ (c)

Q AD EF= = 1 m

∴ AC AD DC= + = + =1 3 4 m

Now, in ∆ABC,

sa b c= + + = + + =

2

2 3 4

2

9

2

∴

ar ABC( )∆ = −

−

−

9

2

9

22

9

23

9

24

= × × ×9

2

5

2

3

2

1

2 = 3

415 2m

Are of rectangle ADEF DE EF= × = × =2 1 2 2m

Area of ∆CDE CD DE= × ×1

2

= × ×1

23 2 = 3 2m

Area of trepezium EFGH

= + ×1

2( )EF GH FG

= × + × =1

21 3 2 4 2( ) m

∴ Area of field = + + +3

415 2 3 4

= +

93

415 2m

91. In the figure given below, D is thediameter of each circle. What isthe diameter of the shaded circle?

(a) D ( )2 1− (b) D ( )2 1+(c) D ( )2 2+ (d) D ( )2 2−

_ (a) Let P, Q, R and S be the centresof the outer four circles. Whosediameter is D from figure, it is clear that

D DD

2 2+ =

Similarly, QR D=Again, Let d be the diameter of theshaded circle.

∴ PRD

dD

D d= + + = +2 2

Since ∆PQR is a right angled triangle

∴ PR PQ QR2 2 2= + ( )D d D D+ = +2 2 2

⇒ D Dd d D2 2 22 2+ + =⇒ d Dd D2 22 0+ − =

⇒ dD D D= − ± +2 4 4

2

2 2

⇒ dD D= − ±2 2 2

2

⇒ d D D= − ± 2

⇒ d D D= − + 2 or − −D D2

⇒ d D D= −2 [ ]Qd > 0

⇒ d D= −( )2 1

92. In the figure given below, AC isparallel to ED and AB DE= = 5 cm and BC = 7 cm. What is the areaABDE : area BDE : area BCD equal to?

(a) 10 5 7: :(b) 8 4 7: :(c) 2 1 2: :(d) 8 4 5: :

_ (a)

Since, AC ED||

∴ EF BH DG x= = =Now, in quadrilateral ABDE,

AB ED|| [ ||∴ AC ED ⇒ AB ED|| ]

and AB ED= = 5cm

∴ Quadrilateral ABDE is a parallelogram.

Now,

ar ||gm ABDE) = AB EF x× = 5

ar (∆BDE ED BH x) = × × =1

2

5

2

ar ( )∆BCD BC DG x= × × =1

2

7

2

∴ or ABDE: or BDE: or BCD = 5x: 5

2x:

7

2x

= 10 5 7: :

93. In the figure given below, PQRS is a

parallelogram PA bisects angle P and SA bisects angle S . What is angle PASequal to?

(a) 60º (b) 75º (c) 90º (d) 100º

_ (c)

Since, PQRS is a parallelogram

∴ PQ SR||

∴ ∠ + ∠ = °QPS RSP 180

[Q Cointerior angles]


2 m 2 m

2 m

3 m

3 m

3 m

2 m 1 m

B

A F G

E

C

H

D

2 m 2 m

2 m

3 m3 m

3 m

2 m 1 m

B

A F G

E

C

H

D

A2

A1 A3

A4

P Q

S R

E 5 cm D

A B C5 cm 7 cm

E 5 cm D

A B C5 cm 7 cm

F G

H

P Q

S R

A

⇒ 1

2

1

2

1

2180∠ + ∠ = × °QPS RSP

⇒ ∠ + ∠ = °APS ASP 90

[Q PA and SA are the angle bisectors of ∠P and ∠Q respectively] ...(i)

Now, In ∆ APS

∠ APS ASP PAS+ ∠ + ∠ = °180

⇒ 90 180°+∠ = °PAS

⇒ ∠ = °− °PAS 180 90 = °90

94. In the figure given below ∠ =A 80º

and ∠ =ABC 60º. BD and CDbisect angles B and C respectively.What are the values of x and yrespectively?

(a) 10 and 130(b) 10 and 125(c) 20 and 130(d) 20 and 125

_ (c) We have,

∠A = °80 and ∠ = °ABC 60

Now, in ∆ABC

∠ + ∠ + ∠ = °A B C 180

⇒ 80 60 180°+ °+∠ = °C

⇒ ∠ = °− ° = °C 180 140 40

Q BD and CD are the bisectors ofangle B and C respectively.

Q ∠ = ∠ = × °DCB C1

2

1

240

= ° = °20 x

and

∠ = ∠ = × ° = °DBC B1

2

1

260 30

Again, in ∆BCD

∠BDC DBC DCB+ ∠ + ∠ = °180

⇒ y°+ °+ ° = °30 20 180

⇒ y° = °− ° = °180 50 130

95. In the figure given below, PQR is a

non-isosceles right-angledtriangle, right angled at Q. If LM

LM and QT are parallel and QT PT= then what is ∠RLMequal to?

(a) ∠PQT (b) ∠LRM(c) ∠RML (d) ∠QPT

_ (b)

Since, QT PT= [Given]

∴ ∠ = ∠1 2 [Angles opp. to equal side are also

equal] ...(i)

Again ∠ = °PQR 90

∴ ∠3 = − ∠90 1 ...(ii)

Now, ∠ = ∠4 3 …(iii) [LM QT||]

∠ = °−∠4 90 1

…(iv) [from (ii)]

Again, in ∆PQR

∠ + ∠ + ∠ = °P RQ 180

⇒ ∠ + °+∠ = °2 90 5 180

⇒ ∠ = − ∠5 90 2

⇒ ∠ = − ∠5 90 1 ...(iv)

[[ from (i)]

∴ From (iv) and (v)

∠ = ∠4 5

⇒ ∠ = ∠RLM LRM

96. In the figure given below, PQ is

parallel to RS and PR is parallel to QS . If ∠ =LPR 35º and ∠ =UST 70º,then what is ∠MPQ equal to?

(a) 55º (b) 70º (c) 75º (d) 80º

_ (c)

We have,

∠ = °UST 70

∴ ∠ = ∠ = °QSR UST 70

[Vertically opposite angles]

Again,

∠ + ∠ = °SRP QSR 180

[Co-interior angles]

⇒ ∠ = °− ° = °SRP 180 70 110

Again, ∠ = °−∠RPQ SRP180

= °− °180 110 = °70

Now,

∠ + ∠ + ∠ = °LPR RPQ MPQ 180

[Sum of all angles on a line is 180°]

∴ 35 70 180°+ °+∠ = °MPQ

⇒ ∠ = °MPQ 75

97. In the figure given below, ABC is atriangle with AB BC= and D is aninterior point of the triangle ABC such that ∠ = ∠DAC DCA.

Consider the following statements

1. Triangle ADC is an isoscelestriangle.

2. D is the centroid of the triangle ABC.

3. Triangle ABD is congruent to thetriangle CBD.

Which of the above statements arecorrect?

(a) 1 and 2 (b) 2 and 3(c) 1 and 3 (d) 1, 2 and 3

_ (c)

In ∆ ADC

∠ = ∠1 2 [Given]

∴ AD CD=

[ ∴ If two angles of a triangle are equalthen the corresponding sides are also

equal]


A

D

B C

xºxº

yº

A

D

B C

xº

xº

yº

80°

60°

P

Q L R

M

T

P

Q L R

M

T

1

2

3 4 5

M

L P

Q

S U

T

R

B

D

A C

B

D

A C13

24

5 6

∴ ∆ADC is an iso ‘sceles triangle’.

Now, in ∆ABD and ∆CBD

AB BC= [Given]

AD CD= [Proved above]

AD BD= [Common]

∴ By sss, ∆ ∆ABD CBD≅∴ by CPCT, ∠ = ∠3 4

and ∠ = ∠5 6

∴ D is the intersecting point of anglebisector. So, D is incentre of ∆ABC.

98. In the figure given below, M is themid-point of AB and ∠ = ∠DAB CBA and ∠ = ∠AMC BMD. Then thetriangle ADM is congruent to thetriangle BCM by

(a) SAS rule (b) SSS rule(c) ASA rule (d) AAA rule

_ (c)

We have,

∠ = ∠3 4 (Given)

On adding ∠5 to both the sides, weget

∠ + ∠ = ∠ + ∠3 5 4 5

⇒ ∠ = ∠ ∠AMD BMC 2

Now, In ∆ADM and ∆BCM

∠ = ∠1 2 (Given)

AM = BN (M is mid-point of AB)

∠ = ∠AMD BMC (Proved above)

∴ ∆ ∆ADM BCM≅(By ASA congruence rule)

99. ABCD is a square. X is themid-point of AB and Y is themid-point of BC.

Consider the following statements

1. Triangles ADX and BAY arecongruent

2. ∠ = ∠DXA AYB

3. DX is inclined at an angle 60ºwith AY

4. DX is not perpendicular to AYWhich of the above statements are correct?

(a) 2, 3 and 4 (b) 1, 2 and 4(c) 1, 3 and 4 (d) 1 and 2

_ (d)

In ∆ADX and ∆BAY

AD BA= (Side of square)

∠ = ∠ = °DAX ABY 90

AX BY=

[AB BC= ⇒ =1

2

1

2AB BC ]

∆ ∆ADX BAY≅

(By SAS Congurence Rule)

∠ = ∠DXA AYB (By CPCT)

Now,

Q ∆ ∆ADX BAY≅∴ ∠ = ∠XDA YAB

Again, ∠ = °−∠OAD OAX90

= °−∠90 YAB = °−∠90 XDA

In ∆AOD,

∠ + ∠ + ∠ = °ODA OAD AOD 180

⇒ ∠ + − ∠ + ∠ = °XDA XDA AOD( )90 180

⇒ ∠ = °− ° = °AOD 180 90 90

(from (i))

∴ DX is perpendicular to AY.

100.From an aeroplane vertically over astraight horizontal road, the angles ofdepression of two consecutivekilometre-stones on the opposite sides of the aeroplane are observed to be αand β. The height of the aeroplaneabove the road is

(a) tan tan

tan tan

α βα β+

(b) tan tan

tan tan

α βα β+

(c) cot cot

cot cot

α βα β+

(d) cot cot

cot cot

α βα β+

_ (b)

Let the height of aeroplane be h km.

Now, in ∆ABC

tanα = AC

BC

⇒ tanα = h

d1

⇒ d h1 = cot α ..(i)

Again, in ∆ACD

tanβ = AC

CD

tanβ = h

d 2

⇒ d h2 = cot β ...(ii)

On adding eqs (i) and (ii), we get

d d h1 2+ = cot α + h cot β⇒ 1= h(cot α + cot β)

⇒ h =+1

cot cotα β

=+

1

1 1

tan tanα β

= tan tan

tan tan

α βα β+


C

A C

D

M

C

A B

D

M1 3

54 2

D C

A BX

Y

O

A

h

B C Dd1 d2

1 km

α β

βα

Directions (Q.Nos. 1-20) In each ofthe items in this section, there is asentence of which some parts havebeen jumbled up. You are required torearrange these parts, which arelabelled P, Q, R and S to produce thecorrect sentence. Choose the propersequence and mark accordingly.1. he/(P) almost/(Q) planned the entire

strategy of operation/(R)single-handed/(S).

The correct sequence should be(a) RSPQ (b) PRQS (c) SQRP (d) QPSR

Ê (b) ‘almost’ and ‘single-handed’ willappear together.

2. it is a fact that rice is one of the mostprolific/(P) than almost any othercrop/(Q) yielding a greater return per acre of/(R) food crops/(S).

The correct sequence should be(a) SRQP (b) RPSQ (c) QRSP (d) PSRQ

Ê (d) ‘most prolific of food crops’ will appeartogether as superlative degree of adjective(most prolific) would be followed by noun(food crops).

3. up to the end of the eighteenthcentury, not only because it wasoften fatal,/(P) smallpox was aparticularly dreaded disease,/(Q) butalso because those who recovered/(R)were permanently disfigured/(S).

The correct sequence should be(a) PQRS (b) QRSP (c) PRSQ (d) QPRS

Ê (d) Parts P and R will appear together inthe sentence as ‘not only’ is always followed by ‘but also’.

4. a person bitten by a rabid dog/(P)would be seized by violentsymptoms/(Q) after an incubationperiod of a month/(R) or two and diean agonizing death/(S)

The correct sequence should be(a) PRSQ (b) SRQP (c) PRQS (d) PQRS

Ê (d) The sentence is correct as it is (PQRS).

5. The traveller,/ sat down/(P) torest/(Q) by the roadside/(R) beingweary/(S).

The correct sequence should be(a) PQRS (b) RSPQ (c) SPQR (d) RPQS

Ê (c) ‘The traveller, being weary, sat down torest by the roadside’ gives the answer.

6. the house was/(P) away/(Q) with itsliveliest member/(R) gloomy/(S).

The correct sequence should be(a) PQRS (b) PSRQ (c) RSPQ (d) QRPS

Ê (b) ‘Gloomy’ describes the depressingcondition in the house due to the absenceof its liveliest member.

7. he was a tiny man/(P) with a sprightly walk/(Q) tall/(R) barely five feet/(S)

The correct sequence should be(a) RSQP (b) SRQP (c) QSPR (d) PSRQ

Ê (d) ‘He was a tiny man, barely five feet tall,with a sprightly walk’ is the correct order ofthe sentence.

8. rules and regulations/(P) hecheerfully ignored its demands/(Q) alife of/(R) unaccustomed to/(S)

The correct sequence should be(a) PQRS (b) QRPS (c) SRPQ (d) QSRP

Ê (c) ‘Unaccustomed to a life of rules andregulations, he cheerfully ignored itsdemands’ is the correct sentence.

9. The man/ for a moment/(P), looked at me/(Q) and thus emptied my pockets/ (R) turned me upside down/(S)

The correct sequence should be(a) PQRS (b) QPRS (c) QPSR (d) PQSR

Ê (c) ‘The man looked at me for a moment,turned me upside down and thus emptiedmy pockets’ is the correct sentence.

10. The lady/ today/(P) is visiting/(Q)us/(R) who composed this poem/(S)

The correct sequence should be(a) RQPS (b) PRQS (c) QRPS (d) SQRP

Ê (d) ‘The Lady, who composed this poem,is visiting us today’ is the correct sentence.

11. Animals/ are able to measure/(P) thepassing of the seasons/(Q) changes inday-length/(R) by recognising/(S)

The correct sequence should be(a) PQSR (b) SQPR (c) PRSQ (d) SRPQ

Ê (a) ‘Animals are able to measure thepassing of the seasons by recognisingchanges in day-length’ is the correctsentence.

12. Many people/ inaudible to others/(P)in the ears or head/(Q) suffer persistent noises/(R) with hearingproblems/(S)

The correct sequence should be(a) RQSP (b) PSQR (c) SRQP (d) RSQP

Ê (c) ‘Many people with hearing problemssuffer persistent noises in the ears or headinaudible to others’ is the correct sentence.

13. Researchers/ found that allergicreactions are brought about/(P) in the bloodstream/(Q) in the 1940s/(R) bythe liberation of small quantities of asubstance called histamine/(S).

The correct sequence should be(a) RPSQ (b) QRPS (c) RQSP (d) PSQR

Ê (a) ‘Researchers in the 1940s found thatallergic reactions are brought about by theliberation of small quantities of a substancecalled histamine in the blood stream’ is thecorrect sentence.

14. Attempts at transplanting otherorgans,/ but that which most caughtthe public fancy/(P) was the hearttransplant/(Q) such as the lungs orthe liver/(R), have been made/(S)

The correct sequence should be(a) SRQP (b) RSPQ (c) RPSQ (d) QRPS

Ê (b) ‘Attempts at transplanting other organs, such as the lungs or the liver, have beenmade but that which most caught the public fancy was the heart transplant’ is the correct sentence.

15. sports cars/(P) appeal/(Q) to somemotorists only/(R) with noisyexhausts/(S)

The correct sequence should be(a) RQSP (b) PSQR (c) RSPQ (d) PQSR

Ê (b) ‘Sports cars with noisy exhausts appeal to some motorists only’ is the correctsentence.

16. Friendship has its place/ in/(P) truthand justice/(Q) but it cannotoverride/(R) life/(S)

The correct sequence should be(a) PQRS (b) RSPQ (c) PSRQ (d) RQPS

Ê (c) ‘Friendship has its place in life, but itcannot override truth and justice’ is thecorrect sentence.

17. the workaholic often/(P) becomes aprisoner of success/(Q)inadvertently/(R) reaping greater and greater rewards/(S).

The correct sequence should be(a) SPRQ (b) SPQR (c) RPQS (d) PQRS

Ê (c) ‘Inadvertently the workaholic oftenbecomes a prisoner of success reapinggreater and greater rewards’ is the correctsentence.


PAPER II English

18. the school masters and the professors tend to believe/(P) that innateintelligence is a quality/(Q) but thatyou can’t do much about it exceptmeasure it/(R) which varies verygreatly from one individual toanother/(S)

The correct sequence should be(a) PSQR (b) PRSQ (c) PQSR (d) QSRP

Ê (c) ‘The school masters and the professors tend to believe that innate intelligence is aquality which varies very greatly from oneindividual to another but you can’t do muchabout it except measure it’ is the correctsentence.

19. People/ do not realise/(P) thatmodern society/(Q) who object todriver education/(R) is built aroundthe automobile/(S)

The correct sequence should be(a) RPQS (b) QRSP (c) RSPQ (d) SPQR

Ê (a) ‘People who object to driver educationdo not realise that modern society is builtaround the automobile’ is thecorrect sentence.

20. with an idea to reach the deprivedchild/(P) by the United NationsOrganisation/(Q) the year 1979 hasbeen declared as/(R) the International Year of the Child/(S)

The correct sequence should be(a) PQRS (b) PSQR (c) PRSQ (d) RSPQ

Ê (c) ‘With an idea to reach the deprivedchild, the year 1979 has been declared asthe International year of the child by theUnited Nations Organisation’ is the correctsentence.

Directions (Q.Nos. 21-46) Eachquestion in this section has a sentencewith three parts labelled (a), (b), and(c). Read each sentence to find out,whether there is any error in any partand indicate your response againstthe corresponding letter i.e., (a) or (b)or (c). If you find no error, yourresponse should be indicated as (d).21. I waited/(a) for her return/(b) with

growing unease (c). No error (d)

Ê (b) ‘For her return’ will be replaced by ‘forher to return’.

22. I do not understand why/(a) in spiteof my best efforts to please him/(b)my boss is so angry at me (c). Noerror (d)

Ê (c) ‘My boss is so angry at me’ will bereplaced by ‘my boss is so angry with me’.

23. Being a rainy day/(a), we did not feellike going out or doing anything/(b)except playing chess in our room/(c).No error/(d)

Ê (a) ‘Being a rainy day’, will be replaced by‘It being a rainy day’.

24. It is not difficult to believe that aman/(a) who has lived in this city fora long time/(b) he will never feel athome anywhere else in the world. (c)No error (d)

Ê (c) ‘he will never feel at home anywhereelse in the world’ will be replaced by ‘willnever feel at home anywhere else inthe world’.

25. Although we reached his house ontime/(a) he was left/(b) for the airport (c). No error (d)

Ê (b) ‘he had already left’ will replace ‘hewas left’.

26. If a thing/(a) is worth doing at all/(b)it is worth done well (c). No error (d)

Ê (c) ‘It is worth doing well’ will replace ‘it isworth done well’.

27. All the boys/(a) returned backhome/(b) well in time for lunch (c).No error (d)

Ê (b) ‘returned back home’ will be replacedby ‘returned home’.

28. Tell me the name/(a) of a countrywhere every citizen is law-abiding/(b)and no trouble is there (c). No error(d)

Ê (c) ‘and no trouble is there’ will be replaced by ‘and there is no trouble’.

29. Considering about these facts/(a) theprincipal has offered/(b) him a seat(c). No error (d)

Ê (a) ‘Considering these facts’ will replace‘Considering about these facts’.

30. His friends feel that/(a) he will besuspended/(b) unless he does notreport for duty immediately. (c) Noerror (d)

Ê (c) ‘unless he does not report for dutyimmediately’ will be replaced by ‘unless hereports for duty immediately’.

31. One of the most interesting feature of travel in Himachal Pradesh is/(a) thelarge number of travellers’ lodges/(b)provided by the State government (c). No error (d)

Ê (a) ‘One of the most interesting feature oftravel in Himachal Pradesh is’ will be

replaced by ‘One of the most interestingfeatures of travel in Himachal Pradesh is’.

32. It/(a) was raining/(b) cats and dogs(c) No error (d)

Ê (d) ‘No error, This sentence isgrammatically correct.

33. I prefer/(a) this book/(b) than thatone. (c) No error (d)

Ê (c) ‘to that one’ will replace ‘than that one’.

34. Their belongings/(a) were lost/(b) inthe fire. (c) No error (d)

Ê (d) The sentence is correct.

35. Tell him to take/(a) anotherphotograph/(b) of the group. (c) Noerror (d)

Ê (d) No error. This sentence isgrammatically correct.

36. I courteously asked him/(a) wherewas he going/(b) but he did not reply. (c). No error (d)

Ê (b) ‘where was he going’ will be replacedby ‘where he was going’.

37. The memoranda/(a) are/(b) on thetable. (c) No error (d)


38. Nandita asked me/(a) if I wasworking/(b) hardly these days. (c) Noerror (d)

Ê (c) ‘hardly these days’ will be replaced by‘hard these days’.

39. He couldn’t/(a) find/(b) an answer. (c)No error (d)


40. Whom you think/(a) will bedismissed/(b) first? (c) No error (d)

Ê (a) ‘Whom you think’ will be replaced by‘Whom do you think’.

41. Of the many problems that confrontthe leaders of the world/(a) none areof grave consequence/(b) than theproblem of saving the normal humanrace from extinction. (c) No error (d)

Ê (b) ‘none are of grave consequence’ willbe replaced by none is of graveconsequence’.

42. All of them/(a) speak/(b) good English. (c) No error (d)

Ê (a) ‘All of them’ will be replaced by ‘Eachof them’.


43. The peon/(a) has not sweeped/(b) the floor today. (c) No error (d)

Ê (b) ‘has not swept’ will replace ‘hasnot sweeped.’

44. Her parents/(a) has not permittedher/(b) to marry Sunil. (c) No error (d)

Ê (b) ‘has not permitted her’ will be replacedby ‘have not permitted her’.

45. Emperor Ashoka/(a) have conqueredKalinga/(b) before he embracedBuddhism. (c). No error (d)

Ê (b) ‘have conquered Kalinga’, will bereplaced by ‘had conquered Kalinga’.

46. Every student/(a) should be asked/(b)to give their ideas on the subject. (c)No error (d)

Ê (c) ‘to give their ideas on the subject’ willbe replaced by ‘to give his ideas onthe subject.

Directions (Q.Nos. 47-66) In thissection, each item consists of sixsentences of a passage. The first andthe sixth sentences are given in thebeginning as S1 and S6. The middlefour sentences in each have beenjumbled up and labelled P, Q, R and S.You are required to find the propersequence of the four sentences andmark your response accordingly.47. S1 : According to the legend it was

during a famine in China manythousands of years ago that rice firstcame into the lives of the Asians.

S6 : And the little girl gathered aharvest of rice.

P : The golden sunbeams droppedthrough the meshes andtransformed themselves intogolden grains.

Q : A little girl went fishing.R : But instead of catching fish she

netted the King of Frogs.S : The King told her to hold out

the net to the sunbeams whilehe sang a magic song.

The proper sequence should be(a) PSQR (b) RPSQ (c) QRSP (d) PQSR

Ê (c) QRSP

48. S1 : Ramu was in a great hurry.

S6 : Fortunately, it wasn’t a veryserious one.

P : As a result of this carelessness,he met with an accident.

Q : The examination was to beginin five minutes time.

R : He just rushed across the road.S : So he forgot to look to the left

or right as he always did.The proper sequence should be(a) RQSP (b) SRPQ (c) RSPQ (d) QSRP

Ê (d) QSRP

49. S1 : Chandran was terribly angry.

S6 : Saro ran screaming.P : His pen was in her hand and

Chandran rushed at her.Q : Just then his sister, Saro,

appeared at the door-step.R : His pen was missing from the

place where he had left it.S : He thought it was lost.

The proper sequence should be

(a) PRSQ (b) RSQP (c) PSQR (d) SQPR

Ê (b) RSQP

50. S1 : One fine morning, I heard asound of fire engines with loudalarm bells.

S6 : It was a terrible scene, as hugeflames of fire were coming putof the house.

P : I thought, perhaps a house wason fire.

Q : They were regulating thecrowd.

R : The policemen were standingaround a big house.

S : I immediately rushed out to seewhat was happening.


(a) PQRS (b) RSQP (c) SRPQ (d) PSRQ

Ê (d) PSRQ

51. S1 : The sun-dried stalks of rice hadcaught fire and burst into flames.

S6 : Even those who were too feeble to keep up with the first rushwere on their feet, eager to jointhe fire-fighters.

P: Then came most of the olderpeople, and mothers with babies at their backs.

Q : And all the active women andgirls followed them to assistthem in fighting the fire.

R : All the young men and boyswere soon on the spot.

S : Staring wildly at the blazingrice, the people of the villageran to extinguish the fire.

The proper sequence should be(a) PSQR (b) QPRS (c) SRPQ (d) SRQP

Ê (d) SRQP

52. S1 : People’s fear of snakes seems tobe based on a series ofmisconceptions.

S6 : Yet people will insist that theycannot touch a snake because of its sliminess.

P : The most common one is theconviction that all thesecreatures are poisonous.

Q : Another very popular idea isthat these reptiles are slimy totouch.

R : Snakes are really dry and cold;not slimy like a wet cake ofsoap, but rather like a crocodile- skin handbag to the touch.

S : In fact, the non-poisonous onesoutnumber the poisonous onesby about ten to one.

The proper sequence should be(a) RQPS (b) PRQS (c) PSQR (d) RQSP

Ê (c) PSQR

53. S1 : The first great discovery thatman probably made was that of fire.

S6 : The animals were not cleverenough to learn anything fromthis.

P : Fires sometimes occur bythemselves in the forestsperhaps by rubbing together offlints or something else.

Q : We light a fire now by a match.R : In olden times fires were made

by striking two flints againsteach other till a spark came forsetting fire to a dry thing.

S : But matches are quite recentthings.


(a) PRSQ (b) QSPR (c) PQSR (d) RPQS

Ê (d) RPQS

54. S1 : A common disease of the eye isconjunctivitis or ‘pink eye’, whichoften occurs in school-children.

S6 : Students with this conditionshould be sent to the doctor.

P : This disease spreads amongschool-children.

Q : A white discharge also appearsin the corners of the eyes.

R : One or both eyeballs turn quitered and have a feeling orirritation.

S : This discharge forms a crustwhich can often be seen in themorning after the eyes havebeen shut all night.


The proper sequence should be(a) PSQR (b) RSQP (c) RQSP (d) QSRP

Ê (c) RQSP

55. S1 : My office sent a message with aterrific urgency asking me to return.

S6 : It was the evening before I couldsit and write to my parents that I would join them soon.

P : I immediately sent a messagerequesting a few days of graceas I had to book the returnticket and attend sundrymatters before winding up myestablishment here.

Q : On the way, I went to thelaundry and made sure I wouldget my clothes in time.

R : Then I rushed to the bank,collected all my money andmade reservations for myreturn journey.

S : From the shop next to it, Ibought a strong box to dumpmy books and other odd articles so that I could send them awayin advance.

The proper sequence should be(a) QRSP (b) RQPS (c) SPQR (d) PRQS

Ê (d) PRQS

56. S1 : Harsten’s theory was that plantsdefinitely react to music.

S6 : He found that this plant grewfaster and 70% taller than theother plant.

P : In his experiment, he used twobanana plants.

Q : The music was in fact a high-pitched humming sound.

R : He gave both plants the samelight, heat and water.

S : But for about an hour a day, one of the plants ‘listened’ to somemusic.


(a) QSRP (b) PQRS (c) PRSQ (d) QRPS

Ê (c) PRSQ

57. S1 : Some students may feel that fastreaders do not understand as much as slow readers.

S6 : This statement, however, needsto be made with caution.

P : Some slow readers will havegood comprehension and others poor.

Q : A quick glance at the scores will show that fast readerssometimes have very goodcomprehension and sometimespoor.

R : This fallacy can easily bedisapproved when you give thefirst reading test in a class.

S : In short, there is little relationbetween reading speed andcomprehension.


(a) RQPS (b) SQRP (c) PQRS (d) QSRP

Ê (a) RQPS

58. S1 : There isn’t a cricketer worth hissalt who does not aspire forcaptaincy.

S6 : It is against this backgroundthat any emotions surroundingthe captaincy should be viewed.

P : Even parents are proud whentheir sons become the captain.

Q : At the lower levels, it is the best player who gets to lead theteam.

R : In cricket, the greatest honourany player can get is thecaptaincy.

S : Right from their school days,boys dream of leading the team.


(a) PQRS (b) SRQP (c) PQSR (d) SQPR

Ê (d) SQPR

59. S1 : Systematic and ceaseless effortsare being made to tap scientificallythe abundant solar energy availablein the country.

S6 : Installation of solar thermalsystems and devices has helpedto save or generate energy tothe extent of 350 kWh perannum.

P : These include cooking, waterheating, water desalination,space heating, etc.

Q : A large number of applicationsin the area have already become commercial.

R : Efforts are also afoot to developeconomically viable solarcollectors for high temperatureapplications.

S : A simple and common mode insolar energy utilisation is solarthermal conversion.

The proper sequence should be(a) QSRP (b) QPRS

(c) SQPR (d) RQSP

Ê (d) RQSP

60. S1 : The houses in the Indus Valleywere built of baked bricks.

S6 : They led outside into coveredsewers which ran down the side of the streets.

P : This staircase sometimescontinued upwards on to theroof.

Q : Access to the upstairs roomswas by a narrow stone staircase at the back of the house.

R : The drains were built in thewalls.

S : The houses had bathrooms andwater closets, rubbish chutesand excellent drainage systems.


(a) SPQR (b) PSQR (c) QRPS (d) QPSR

Ê (d) QPSR

61. S1 : I remember, some years ago, thelibrary of a famous divine andliterary critic, who had died,being sold.

S6 : Yet, he was a holy man andpreached admirable sermons.

P : Multitudes of the books had themarks of libraries all over thecountry.

Q : It was a splendid library of rarebooks, chiefly concerned withseventeenth century writers,

R : Evidently, he was verypossessive about the books heborrowed.

S : He had borrowed them andnever found a convenientopportunity of returning them.


(a) RPQS (b) QPSR (c) SPQR (d) PSRQ

Ê (b) QPSR

62. S1 : Of course, it is silly to try toovercome fears that keep us fromdestroying ourselves.

S6 : The only fears you need to avoid are silly fears which prevent you from doing what you should do.

P : This is sensible.Q : You wait until it is out of the

way before crossing.R : You need some fears to keep

you from doing foolish things.S : You are afraid of an automobile

coming rapidly down the streetyou wish to cross.

The proper sequence should be(a) PRSQ (b) RSQP

(c) RPSQ (d) PQRS

Ê (b) RSQP


63. S1 : Nobody likes staying at home ona public holiday—especially if theweather is fine.

S6 : It was very peaceful in the coolgrass—until we heard bellsringing at the top of the hill.

P : We had brought plenty of foodwith us and we got it out of thecar.

Q : The only difficulty was thatmillions of other people had the same idea.

R : Now everything was ready sowe sat down near a path at thefoot of a hill.

S : We moved out of the cityslowly behind a long line ofcars, but at last we came to aquiet country road and aftersome time, stopped at a lonelyfarm.

The proper sequence should be(a) PSQR (b) QSPR (c) PQRS (d) SPQR

Ê (b) QSPR

64. S1 : The teaching work for the term is over.

S6 : For this, weekend trips do notsuffice, and a longer stay isnecessary.

P : That will end on October 13thand the Diwali vacation willbegin from October 14th.

Q : After I complete the assessmentof examination papers, I plan to go and stay at our house inLonavala for at least a week.

R : Next week the terminalexamination begins.

S : There is a lot of repair workthat needs to be carried out inthe house.

The proper sequence should be(a) SQRP (b) QSPR (c) RPSQ (d) RPQS

Ê (d) RPQS

65. S1 : A proposal to remove fromcirculation 5 paise coins has beengiven up by the Centre on advicefrom the Reserve Bank of India.

S6 : It is, however, proposed toreduce the costs of mintingthese coins by changing theirmetallic content.

P : The government had beenthinking of removing fromcirculation even the 10 paisecoin.

Q : The cost of minting a 5 paisecoin is said to be 7 paise while

the cost of minting a 10 paisecoin is 10.5 paise.

R : Moreover their removal wouldcause tremendous hardship tosome people.

S : The RBI had opposed thissaying that they figure largelyin public transactions.

The proper sequence should be(a) SRQP (b) QPSR (c) PSRQ (d) PQSR

Ê (c) PSRQ

66. S1 : It is common knowledge thatpeople go after different objects inthe world to get happiness.

S6 : He is conscious of the fact thathappiness is within and notwithout.

P : The wise man with a properlyattuned mind is happy withthem, in spite of them andwithout them too.

Q : Can a condemned prisoner,awaiting execution on themorrow, relish food, howeverdelicious?

R : But a little reflection will provethat in reality, thesesense-objects, by themselves,can never make a person happy.

S : It is a folly to equate objectswith happiness.

The proper sequence should be(a) RQSP (b) SQRP (c) SPQR (d) RSQP

Ê (a) RQSP

Directions (Q.Nos 67-88) Look atthe underlined part of each sentence.Below each sentence are given threepossible substitutions for theunderlined part. If one of them [(a),(b), or (c)] is better than theunderlined part, indicate yourresponse against the correspondingletter. If none of the substitutionsimproves the sentence, indicate (d) asyour response.67. Go North-East across the mountains

till you will reach an island.(a) reached (b) reach

(c) have reached (d) No improvement

Ê (b) ‘reach’ is the correct substitution as the sentence is in simple present tense.

68. It is hard these days to cope with therising prices.(a) cope by (b) cope up with

(c) to be coped with (d) No improvement

Ê (d) ‘cope with’ is the correct expression. Itmeans to struggle or deal with.

69. He took a loan of hundred rupeesfrom me.(a) debt (b) demand

(c) advance (d) No improvement

Ê (d) No improvement is required in thissentence.

70. From the last five days it has beenraining torrentially.(a) Since the last (b) For the last

(c) Since last (d) No improvement

Ê (b) ‘For the last’ is the correct expressionas ‘for’ is used to denote a period of timewhile ‘since’ and ‘from’ are used to denotepoint of time.

71. The teacher, along with her threechildren, were taken to hospital.(a) was taken (b) had taken

(c) had being taken (d) No improvement

Ê (a) ‘was taken’ is the correct usage aswords joined to a singular subject by withtake a singular verb.

72. The Prime Minister had wide-rangingdiscussions on the internationalsituation.(a) widely-ranged (b) wide-ranged

(c) wide-range (d) No improvement

Ê (d) ‘wide-ranging’ is the correct expression that means covering an extensive range.

73. The man disappeared after he wasrescuing a boy from drowning.(a) was rescued (b) has been rescued

(c) had rescued (d) No improvement

Ê (c) The sentence is in past perfect tense so ‘had rescued’ will be used.

74. I shall be obliged if you could grantme an interview.

(a) give (b) allow

(c) permit (d) No improvement

Ê (a) give should be used in place of grant.

75. By 8.00 in the morning he wrote fourletters to his friends.(a) had written (b) had been writing

(c) was writing (d) No improvement

Ê (a) ‘the action of writing the four letters had been completed before 8.00, so ‘hadwritten’ will be used. (Past Perfect Tense).

76. But for one witness the accusedought to have been sent to jail.(a) would have (b) had

(c) should have (d) No improvement

Ê (a) ‘would have’ is the correct expressionas we are talking about a hypothesis orsomething imagined here.


77. He is now looking about a job.(a) for (b) after

(c) into (d) No improvment

Ê (a) ‘looking for’ is the correct phrasal verbthat means to hope to get something thatyou want or need.

78. He did not abide with my decision.(a) to (b) by

(c) for (d) No improvement

Ê (b) ‘abide by’ is the correct expressionwhich means to act in accord with.

79. I was living in Chennai for ten yearswhen I was a child.(a) had lived (b) lived

(c) had been living (d) No improvement

Ê (b) ‘The sentence is in simple past tenseso ‘lived’ will be used.

80. I didn’t feel like going out yesterday,but on account of my son’s illness Ihad to go to the doctor.(a) have (b) might have

(c) ought (d) No improvement

Ê (d) The sentence is absolutely correct. Noimprovement is required.

81. Your services are dispensed for.(a) from (b) with

(c) off (d) No improvement

Ê (b) ‘dispense with’ means to no longer usesomething because you no longer want orneed them.

82. I didn’t go to office because I was ill.(a) felt (b) had become

(c) had felt (d) No improvement

Ê (d) ‘I was ill’ is the correct usage. Noimprovement required.

83. The angry neighbours never passedfrom each other without making rude remarks.(a) passed on (b) passed against

(c) passed (d) No improvement

Ê (c) No phrasal verb will be used here,‘passed’ meaning to go past or across willbe used.

84. The chairman with the othermembers of the board are touringEurope these days.(a) have been on touring

(b) is touring

(c) have toured

(d) No improvement

Ê (b) ‘is touring’ is the correct usage aswords joined to a singular subject by withtake a singular verb.

85. Mahatma Gandhi is called as theFather of the Nation.

(a) called Father of the Nation

(b) called the Father of the Nation

(c) Father of the Nation

(d) No improvement

Ê (b) ‘called as the Father of the Nation’ willbe used as Mahatma Gandhi was given thename ‘the Father of the Nation’.

86. Poor Tom laid in the shade of a treebefore he could walk further.(a) lied (b) lain

(c) lay (d) No improvement

Ê (c) The sentence is in simple presenttense, so verb ‘lay’ will be used.

87. You must accustom yourself withnew ideas.(a) accustomed with

(b) accustom to

(c) accustom yourself to

(d) No improvement

Ê (c) ‘accustom yourself to’ is the correctexpression that means to get familiar withsomething so that you no longer find itstrange.

88. This telephone number is not existing.(a) does not exist

(b) has not been existing

(c) has had no existence

(d) No improvement

Ê (a) ‘does not exist’ is the correctexpression to be used here.

Directions (Q.Nos. 89-110) In thissection, you have six short passages.After each passage, you will find somequestions based on the passage. First, read a passage and answer thequestions based on it. You arerequired to select your answers basedon the contents of the passage andopinion of the author only.

PASSAGE-1When Jonathan (the seagull) came, it waswell after dark, and he floated in moonlighton the surface of the ocean. His wings wereragged bars of lead, but the weight of failurewas even heavier on his back. He wished,feebly, that the weight would be just enough to drag him gently down to the bottom, andend it all. But soon he came back to normal.He pushed wearily away from the dark water and flew towards the land, grateful for whathe had learned about work-savinglow-altitude flying.

89. The word ‘wearily’ means(a) tireless (b) exhausted

(c) sadly (d) unconscious

Ê (b) ‘wearily’ means with extreme tiredness.

90. The seagull suffered because(a) he had tried to do something that

other seagulls had not done.

(b) probably he had been attacked by a

stronger bird.

(c) probably he had been attacked by

some strong creature in the sea.

(d) he had swooned and fallen into the

water.

Ê (d) It can be inferred from the passage that the seagull had fainted while flying andfallen into the water.

91. ‘His wings were ragged bars of lead’means that(a) his wings damaged and supported

by bars of lead

(b) his wings were damaged and

therefore very heavy

(c) he had rags and bars of lead on

his wings

(d) his wings were broken like pieces

of lead

Ê (b) ‘His wings were ragged bars of lead’means that his wings were damaged andtherefore very heavy. They felt as if theywere made of lead, a very heavy metal.

92. The lesson that he had learnt thatday was about(a) not fighting with stronger birds

(b) flying carrying bars of lead on

his wings

(c) diving too deep into the sea

(d) flying at low altitudes

Ê (d) The line ‘…… what he had learnedabout, work saving low-altitude flying’provides the answer.

PASSAGE-2Vacationing on a motorcycle, you see thingsin a way that is completely different fromany other. In a car, you are always in acompartment, and because you are used to it you do not realise that through that carwindow everything you see is just more TV.You are a passive observer and it is allmoving by you boringly in a frame. On amotorcycle, however, the frame is gone. Youare completely in contact with it all. You arein the scene, not just watching it anymore,and the sense of presence is overwhelming.

93. The writer likes travelling on themotorcycle. What is the most likelyreason for this?(a) The motorcycle has no windows.

(b) The motorcycle does not go as fast

as a car.


(c) As the traveller is used to cars,

travelling by motorcycle is a change.

(d) Travelling by motorcycle, the writer

feels that he is part of the scenery.

Ê (d) The answer can be found in the line‘You are in the scene, not just watching itanymore ……’.

94. Which of the following statements isclosest to the truth?(a) The writer does not like TV as it gives

a narrow view of things.

(b) The writer likes TV but he does not

like watching it from car windows.

(c) The writer does not like TV because

the picture is in a frame.

(d) The writer does not like TV because

the programmes are boring.

Ê (c) The answer can be found in the line‘You are a passage observer and it is allmoving by you boringly in a frame’.

95. “In a car you are always in acompartment, and because you areused to it, you do not realise that……… .” In this sentence, ‘it’ refers to (a) travelling in a car.

(b) always being in a compartment, e.g.one’s room, office.

(c) seeing the scenery through thewindow frame.

(d) seeing so much TV at home.

Ê (a) Here, ‘it’ refers to travelling in a car.

96. In the last sentence, the writer talksof a ‘sense of presence’. He isreferring to the presence of(a) his own self as part of the scene.

(b) the time that is now passing.

(c) the scene and the beauty.

(d) senses with which one feels.

Ê (a) Here, the writer is referring to thepresence of his own self as a part ofthe scene.

97. The word ‘overwhelming’ means(a) very strong (b)unavoidable

(c) interesting (d)humourous

Ê (a) ‘overwhelming’ as used in the passagemeans very strong.

PASSAGE-3I was lying down in a dark, lonelycompartment of the speeding train, trying to sleep. But, quite unusually, sleep eluded me.A vague uneasiness gripped me. It was pitchdark outside. A few points of light flashed by as we sped through a small station and in the dim light I thought I saw a hand grippingthe bars of my window. Once again the train was swallowed up by the impenetrable

darkness. My heart pounded. My mouth was parched. I could not get up. I do not knowhow long I remained thus before the trainbegan to slow down. The reassuring brightlights of the station we were enteringrevealed no intruder. I breathed again.

98. The narrator could not sleep because(a) he usually found it difficult to

fall asleep

(b) he could not find a place to lie down

(c) he was disturbed by some

unspecified thoughts

(d) the people near him were

disturbing him

Ê (c) The line ‘A vague uneasiness grippedme’ gives the answer.

99. In the dim light he saw(a) someone trying to climb into the train

(b) someone clinging to the bars of

the window

(c) someone was attempting to steal

his bag

(d) someone standing outside the window

Ê (b) The line ‘…… in the dim light I thought I saw a hard gripping the bars of my window’provides the answer.

100. Which of the following words bestdescribes the condition ofthe traveller?

(a) Cautious (b) Imaginative

(c) Observant (d) Nervous

Ê (d) The lines ‘My heart pounded’, ‘Mymouth was parched’ and the narrator’sinability to sleep show that he was nervousand frightened.

PASSAGE-4I was abruptly awakened by a noisy scuffle.The sun, a mere fringe over the horizon,immediately chased away the greyhalf-darkness. I was too sleepy to noticewhat was happening. Yuri was rolling overon the ground. I ran up to him but wasstruck dumb. With his right hand he washolding a cobra by the neck. Two sharpfangs showed from its jaws. The battle wasover in a few minutes. A hollow hissing andconvulsive jerks were then only reminders ofa just-ended tussle. The catcher half-openedthe lid of the box and calmly put the quarryin.

101.When the writer saw Yuri holding acobra by the neck, he was ‘struckdumb’. This means that he was

(a) extremely delighted.

(b) very much helpless.

(c) rather surprised.

(d) absolutely shocked.

Ê (d) The expression ‘struck dumb’ means to be unable to speak because of greatsurprise or shock.

102.From the passage, Yuri appears tobe a man who is

(a) calm and courageous.

(b) cunning and crafty.

(c) noisy and dangerous.

(d) active and jumpy.

Ê (a) Yuri’s calm and courageous nature isreflected in the passage.

103.With reference to the passage, thefollowing assumptions have beenmade:

1. The incident took place early inthe morning.

2. Yuri threw the snake away.Which of these assumptions is/are

correct?(a) Only 1 (b) Only 2

(c) Both of these (d) Neither 1 nor 2

Ê (a) The lines ‘The sun...chased away thegrey half-darkness’ and ‘I was too sleepy tonotice what was happening’ give the answer.

PASSAGE-5Urbanisation and industrialisation have oftenresulted in whole areas of forests being cleared to gain new land and to obtain timber for thevarious building projects. Large areas of fieldsand forests have disappeared to make way forconcrete jungles, many of which are fittedwith huge plants and chimney stacks.Industrial growth has necessitated theincreased demand for fuel oil to run themachines and in doing so produces industrialgases and fumes, which belch through thechimney and pollute the atmosphere. Themost evident elements in the contaminationof the atmosphere are dust, sulphur dioxide,carbon monoxide and nitrous oxide.

104.The writer expresses the belief that(a) there is plenty of scope for further

industrialisation

(b) unplanned growth of industry has

done more harm than good

(c) the change from rural to urban

growth is a change for the better

(d) the timber obtained from the forests

has been beneficially used

Ê (b) The writer expresses the belief thatunplanned growth of industry has donemore harm than good.


105.The effect on forest areas producedby the activity described in the firstsentence is called

(a) devastation (b)deforestation

(c) disfiguration (d)devaluation

Ê (b) ‘deforestation’ refers to clearing offorest areas to gain new land and obtaintimber for the various building projects.

106.The results of industrialdevelopment, according to thewriter, are

(a) urbanisation

(b) no shortage of fuel oil

(c) greater availability of domestic gas

(d) greater fuel consumption andpollution

Ê (d) The line ‘Industrial growth hasnecessitated the increased demand for fueloil …… pollute the atmosphere’ gives theanswer.

107.The phrase ‘concrete jungle’ in theparagraph refers to the factories and houses built as a result ofurbanisation and industrialisation.

This phrase suggests that the author(a) regrets that fields and forests have

been replaced by city buildings.

(b) believes that too much cement has

been used in building factories.

(c) disapproves of modern industrial

expansion.

(d) would like to go back to life in

the jungle.

Ê (c) The given phrase suggests that authordisapproves modern industrial expansion.

PASSAGE-6I must say a word about the Eiffel Tower. Ido not know what purpose it serves today.But I then heard it greatly disparaged as wellas praised. I remember that Tolstoy was thechief among those who disparaged it. Hesaid that the Eiffel Tower was a monumentof man’s folly, not of his wisdom. Tobacco,he argued, was the worst of all intoxicants, in as much as a man addicted to it was tempted to commit crimes, which a drunkard neverdared to do; liquor made a man mad, buttobacco clouded his intellect and made himbuild castles in the air. The Eiffel Tower was one of the creations of a man under suchinfluence. There is no art about the EiffelTower. In no way can it be said to havecontributed to the real beauty of theExhibition. Men flocked to see it and

ascended it as it was a novelty and of uniquedimensions. It was the toy of the Exhibition. So long as we are children, we are attractedby toys, and the Tower was a gooddemonstration of the fact that we arechildren attracted by trinkets. That may beclaimed to be the purpose served by theEiffel Tower.

108.Why did Tolstoy disparageEiffel Tower?

1. Man was foolish to build it.2. Huge man-made structures did

not appeal to him.

Which of the statements given aboveis/are correct?

(a) Only 1 (b) 1 and 2

(c) 1 and 3 (d) 2 and 3

Ê (a)

109.Why did Tolstoy believe thattobacco was the worst of allintoxicants?(a) Man lost his intellectual abilities under

the influence of tobacco.

(b) Tobacco kept man in a state of

inebriation.

(c) People who commit crimes are

invariably addicted to tobacco.

(d) Statements (a) and (b) above are

correct in this context?

Ê (a)

110.Why did men flock to theEiffel Tower?(a) Men were attracted to the castles

built in the air.

(b) Men lost their wisdom under the

influence of intoxicants.

(c) Men were attracted to childish things.

(d) Men were attracted to things of

no value.

Ê (c)

Directions (Q.Nos. 111-120) In this section, each of the followingsentences has a blank space and fourwords are given below it. Select theword or group of words you considermost appropriate for the blank spaceand indicate your response.111.In this University, there is no ………

for awarding scholarships on thebasis of merit in examination alone.

(a) precedent (b) opportunity

(c) chance (d) possibility

Ê (a)

112.Can you pay ……. all these articles?(a) out (b) of

(c) for (d) off

Ê (c)

113.He may not come, but we’ll getready in case he ……… .

(a) may (b) will

(c) shall (d) does

Ê (d)

114.He is quite ………; you can nevercount on him in matters of secrecy.

(a) unjust(b) unbearable

(c) inefficient (d)unreliable

Ê (d)

115.The Governor will ……… the oath of office to the thirty-five newministers at 9:30 p.m. tomorrow.

(a) confer (b) present

(c) execute (d) administer

Ê (a)

116.Most of the students have forgottento bring their certificates; they willbe ……… by the Principal for thisreason.

(a) reproached (b) abused

(c) accused (d) reprimanded

Ê (d)

117.The consequences of economicgrowth have now ……… to thelowest level.

(a) drawn (b) slipped

(c) percolated (d) crept

Ê (d)

118.Mrs. Ramsay did not know whetherMiss Jane knew ……… .

(a) swimming (b) to swim

(c) how to swim (d) how to swimming

Ê (c)

119.He ……… the role of theorganisation in creatingenvironmental awareness amongthe people.

(a) collaborated (b) commanded

(c) contrasted (d) commended

Ê (d)

120.We should give everyone trainingin citizenship but we have ………this aspect till now.

(a) denied (b) neglected

(c) refused (d) disallowed

Ê (b)


1. Polynucleotide chain of DNA contains(a) a nitrogenous base, deoxyribose sugar

and phosphate group(b) a nitrogenous base, ribose sugar and

phosphate group(c) deoxyribose sugar, ribose sugar and

phosphate group

(d) a nitrogenous base and phosphategroup only

Ê (a) Polynucleotides are two DNA strands asthey are composed of simple monomer unitscalled nucleotides. Each nucleotide iscomposed of one of four nitrogen containingnucleobases–cytosine (C), guanine (G),adenine (A) or thymine (T)-a sugar calleddeoxyribose and a phosphate group.

2. The process of copying geneticinformation from one strand of DNAinto RNA is termed as(a) translation (b) transcription

(c) replication (d) mutation

Ê (b) Transcription is the first step of geneexpression, in which a particular segment ofDNA is copied into RNA (especially mRNA) by the enzyme RNA polymerase. Both DNA andRNA are nucleic acids, which use base pairsof nucleotides as a complementary language. It consists of three phenomena–initiation,elongation and termination.

3. AIDS is caused by the HumanImmunodeficiency Virus (HIV). Thetransmission of HIV infectiongenerally occurs through(a) eating contaminated food and water

(b) transfusion of contaminated blood and

blood products(c) inhaling polluted air

(d) shaking hand with infected person

Ê (b) AIDS is a disorder of cell mediatedimmune system of the body. It is caused byuse of contaminated needles, infected blood,blood products, donated semen or organ. Itcan also be transferred from infected motherto her child though before birth or quitepossibly by breast fed milk.

4. The cell growth and differentiation are highly controlled and regulated inhuman body but in cancer cells(a) there is break down of these reg u la tory

mech a nisms lead ing to for ma tion ofbe nign and malignant tumours

(b) con trolled cell di vi sion and over

pro duc tion of ge netic ma te rial occur(c) RNA is mutated and produced in less

amount

(d) DNA is mutated and produced inless amount

Ê (a) The abnormal and uncontrolleddivision of cells which invade and destroysurrounding tissue causes cancer. Cancer cells do not remain confined to one part of the body but penetrate to adjoiningtissues and distrupt their functions.

5. Most viruses that infect plantspossess(a) single-stranded DNA(b) single-stranded RNA

(c) double-stranded DNA and RNA

(d) double-stranded RNA

Ê (b) Plant viruses are viruses that affectplants. Like all other viruses, plant virusesare also obligate intracellular parasitesthat do not have the molecular machineryto replicate without a host. Plant virusesare pathogenic to higher plants. e.g.Tobacco Mosaic Virus (TMV). It has single strand RNA as its genetic material.

6. Syngamy results in formation of(a) haploid zygote (b) diploid zygote

(c) non-motile male gametes(d) motile male gametes

Ê (b) Syngamy is also called fertilisation. Itinvolves the complete and permanentfusion of two haploid gametes to form adiploid zygote. It is the most commonmode of sexual reproduction. Gametesinvolved are of two types–sperm andovum.

7. Bleeding of gums, falling of teeth,fragile bones and delayed woundhealing occur due to the deficiencyof which one of the followingvitamins?(a) Vitamin – C (b) Vitamin – K

(c) Vitamin – D (d) Vitamin – B

Ê (a) Vitamin C is also called ascorbic acid.It cannot be made by human body and sois an essential component of our diet.Vitamin-C is needed to make a substancecalled collagen, which is required for thehealth and repair of various tissues in thebody, including skin, bone, cartilage, blood vessel walls, teeth, ligaments and tendons.

8. When a piece of pure silicon isdoped with aluminium, then(a) the con duc tiv ity of the doped sil i con

piece will re main the same

(b) the doped silicon piece will become n-type

(c) the doped silicon piece will becomep-type

(d) the resistivity of the doped silicon piecewill increase

Ê (c) The aluminum atom, has three electronsin its outer shell, which is one less than needed to form valence bonds with four nearby siliconatoms. So, the aluminium atom uses its threevalence electrons in forming covalent bondswith three neighbouring si–atoms. Whereasone covalent bond with si-atom is leftincomplete due to deficiency of one electron.This need of one electron is fulfilled from any of the other bonds between two silicon atoms. Inthis, an electron from a nearby site well migrate over to fill the valent bond (hole), but thatleaves a hole in the original site. This holein-turn is filled up by an electron from someother site and so on. This type ofsemiconductor hence formed by doping oftrivalent impurity atoms, i.e. Al is known asp-type semiconductor.

9. Suppose voltage V is applied across aresistance R. The power dissipated inthe resistance is P. Now, the samevoltage V is applied across a parallelcombination of three equal resistorseach of resistance R. Then the powerdissipated in the second case will be(a) P (b) 3P (c) P / 3 (d) 2 3P/

Ê (b) For parallel combinations

1 1 1 1 3/R /R + /R + /R /Req = =

R Req = / 3

Power, P =V

R

2

eq

= 3 32V

Rp=

10. Which one of the following is not asemiconductor?(a) Sil i con (b) Ger ma nium

(c) Quartz (d) Gal lium ar se nide

Ê (c) Quartz is the second most abundant mineral in Earth’s continental crust, afterfeldspar. Its crystal structure is a continuousframework of SiO4 (silicon- oxygentetrahedra) with each oxygen being sharedbetween two tetrahedra, giving theoverall chemical formula of SiO2.

11. A parallel-plate capacitor, with air inbetween the plates, has capacitance C .Now, the space between the two platesof the capacitor is filled with a dielectric of dielectric constant 7. Then, the valueof the capacitance will become(a) C (b) C /7 (c) 7C (d) 14C


PAPER III General Studies


Ê (c) The following equation is used tomeasure the capacitance (C) of a capacitor :

C Q V= / , CkA

d=

e0

R - dielectric constant,

A - area of each plate and d- distancebetween the plates.

For Air, K = 1

Þ Capacitance, C =e0 A

d ....(i)

If the space between the two plates of thecapacitor is filled with a dielectric ofdielectric constant,

R = 7, then

Capacitance, CA

d

¢ =7 0e

Þ C ¢ = 7C (Q using (i))

12. For which one of the following doesthe centre of mass lie outside thebody?(a) A foun tain pen (b) A cricket ball

(c) A ring (d) A book

Ê (c) The centre of mass of a rigid body is apoint at a fixed position with respect to thebody where whole mass of the body issupposed to be concentrated. For a ring, the centre of mass lies at the geometrical centrewhere there is no matter, so it lies outside.

13. Which one of the following is aphysical change?(a) Burn ing of coal

(b) Burn ing of wood(c) Heat ing of a plat i num cru ci ble

(d) Heat ing of po tas sium chlorate

Ê (c) Heating of a platinum crucible is aphysical change. In a physical change, asubstance undergoes a change in itsphysical properties such as shape, size,colour etc. Physical changes are used toseparate mixtures into their componentcompounds, but cannot be used toseparate compounds into chemicalelements or simpler compounds. In such achange no new substance is formed.Examples of physical properties includemelting, transition to a gas, change ofstrength, change of durability, changes tocrystal form, textural change, shape, size,colour, volume and density.

14. The pH value of a sample ofmultiple-distilled water is(a) zero (b) 14

(c) very near to zero (d) very near to 7

Ê (d) Distilled water has a neutral pH that isneither alkaline nor acidic. This is becausethe number of hydroxyl ions and hydrogenions in pure water is balanced. Pure waterhas a pH of 7.0 at 25°C. As temperatureincreases, pH decreases. But, that does not mean that the water has become acidic.

Here, the point at which pH is neutraldrop. It is still neutral because thehydrogen ions and the hydroxyl ions in the water are still balanced.

15. Which one of the following is themost characteristic property ofan element?(a) Density (b) Boiling point

(c) Mass number (d) Atomic number

Ê (d) The most important characteristic of a chemical element is its atomic number. It is equal to the number of protons in thenucleus of an atom of the element, and itis also equal to the number of electrons in the atom. The atomic number is the mostimportant factor that determines thechemical properties of an element.

16. There are two elements-calcium(atomic number 20) and argon(atomic number 18). The massnumber of both the elements is 40.They are therefore known as(a) isotones (b) isochores

(c) isobars (d) isotopes

Ê (c) Isobars are atoms (nuclides) ofdifferent chemical elements that havesame number of nucleons or massnumber but different-atomic number suchas 40cl 40 ar.

17. ‘Plum Pudding Model’ for an atomwas proposed by(a) Antoine Lavoisier (b)Robert Boyle

(c) Ernest Rutherford(d)JJ Thomson

Ê (d) J.J Thomson, who discovered theelectron in 1897, proposed the PlumPudding Model of the atom in 1904 before the discovery of the atomic nucleus inorder to include the electron in the atomicmodel. He proposed that an atomconsists of a positively charged sphereand the electrons are embedded into it.

18. What is the number of atoms in 46g of sodium-23 (N = Avogadroconstant)?

(a) N

2(b) N (c) 2N (d) 23N

Ê (c) Avogadro’s number is a veryimportant relationship in stoichiometric

calculations : 1 mole = ´6 022 1023.

atoms, molecules, protons, etc. Toconvert moles into atoms, multiply themolar amount by Avogadro’s number. Toconvert atoms into moles, divide theamount of atom by Avogadro’s number(or multiply by its reciprocal).

Here, 1g of Na= 23g .

then number of atom in 46g of 23

NaN

N= =4623

2

19. Which one of the following statementsis correct? For the purpose ofcensus-2011(a) a person aged seven and above who can

both read and write with understanding in

any language is treated as a literate(b) a person aged eight and above, who can

both read and write with understanding inany language is treated as a literate

(c) a person aged nine and above, who can


(d) a person aged ten and above who can


Ê (a) Literacy is meant as the ability to read, andwrite. In India a person aged seven and abovewho can both read and write with understandingin any language is treated as literate.

20. In which one of the following States isLoktak Lake situated?(a) Sikkim (b) Himachal Pradesh

(c) Manipur (d)Meghalaya

Ê (c) Loktak Lake is the largest freshwater lake in North-East India, and is famous for the phumdis(heterogeneous mass of vegetation, soil, andorganic matter at various stages ofdecomposition) floating over it. Keibul Lamjaois the only floating national park in the world. Itis located near Moirang in Manipur State, India.

21. The ratio of Gross Cropped Area to theNet Sown Area is called(a) cropping intensity

(b) intensity of crop rotation

(c) crop productivity (d) cropping diversity

Ê (a) Gross Cropped Area (GCA) is the total area sown once as well as more than once in aparticular year. When the crop is sown on apiece of land for twice, the area is countedtwice in GCA. On the other hand, Net SownArea is the area sown with crops but is countedonly once. Cropping intensity refers to raising of a number of crops from the same field duringone agriculture year. It can be expressed as,Cropping intensity = (Gross cropped area/Netsown area) ´ 100

22. Which one of the following is thecorrect sequence of occurrences of rivers from Chennai to Kolkata when travelledby road (shortest distance)?(a) Krishna, Kaveri, Godavari, Mahanadi,

Subarnarekha(b) Krishna, Periyar, Godavari, Mahanadi,

Subarnarekha

(c) Penneru, Krishna, Godavari, Mahanadi,Subarnarekha

(d) Penneru, Mahanadi, Subarnarekha,

Godavari, Krishna

Ê (c) Penneru, Krishna, Godavari, Mahanadi,Subarnarekha are East flowing Peninsular river.

23. Which one of the followingstatements with regard to volcanoesis not correct?(a) Stratovolcanoes produce lava flows

that initially follow valleys but are highly

resistant to erosion.(b) The surrounding areas can remain

highlands, lava ridges or mesas.(c) Hawaiian shield volcanoes are eroded

by streams that form deeply carved

valleys with steeply sloping heads.(d) The system of streams on a dissected

volcano cone is not a radial

drainage pattern.

Ê (d) A stratovolcano is a tall, conicalvolcano composed of one layer of hardened lava, tephra, and volcanic ash. Thesevolcanoes are characterised by a steepprofile and periodic explosive eruptions. The lava that flows from them is highly viscous,and cools and hardens before spreadingvery far. The system of streams on adissected volcano cone is a radial drainagepattern.

24. Kwashiorkor disease in children iscaused by(a) suf fi cient car bo hy drates but less fats in

diet

(b) sufficient carbohydrates and fats but

deficient proteins in diet(c) suf fi cient vi ta mins but de fi cient fats in

diet(d) suf fi cient fats but de fi cient vi ta mins in

diet

Ê (b) Kwashiorkor is a form of severeprotein-energy malnutrition characterised by edema, irritability, ulcerating dermatoses,and an enlarged liver with fatty infiltrates. Itis a result of sufficient calorie intake, butwith insufficient protein consumption.

25. The mammalian heart is myogenicand it is regulated by nerves. Theheartbeat originates from(a) sinoatrial node (b) QRS wave

(c) T wave

(d) hepatic portal system

Ê (a) The impulse starts in a small bundle ofspecialised cells located in the right atrium,called the SA node. The electrical activityspreads through the walls of the atria andcauses them to contract. This forces bloodinto the ventricles. The SA node sets therate and rhythm of your heartbeat. It is alsocalled natural pachmaker of heart.

26. The plant growth regulators aresmall, simple molecules of diversechemical composition. They are(a) carbohydrates, fats and proteins

(b) indole compounds, adenine

derivatives, carotenoids and terpenes

(c) fatty acids, glucose and vitamins(d) vitamin C, vitamin D and glucose

Ê (b) Plant growth regulators, also knownas plant exogenous hormones, aresynthetic substances that are similar tonatural plant hormones. They are used toregulate the growth of plants and areimportant measures to ensure agriculturalproduction.

27. Consider the electromagneticradiations havingwavelengths 200 nm, 500 nm and1000 nm. Which of the followingwavelength(s) can make visualsensation to a human eye?(a) 200 nm and 500 nm

(b) 500 nm and 1000 nm(c) 500 nm (d) 200 nm and 1000 nm

Ê (c) Visible light is the high that we can seeand helps us to see things around us. As,white light is visible light, and it contains allthe colours of the rainbow, from red toviolet. So, the range of visible wavelengthsis 400 to 700 nanometres.

28. A copper wire of radius r and length lhas a resistance of R. A second copperwire with radius 2r and length l istaken and the two wires are joined ina parallel combination. The resultantresistance of the parallel combinationof the two wires will be

(a) 5R (b) 5

4R (c)

4

5R (d)

R

5

Ê (d) Resistance of wire is given by

Rl

r¢ = r

p 2

Where, r - resistivity of the wire,

l- length of the wire and

r- radius of the wire

so, for the first wire,

Rr

1 2

1a ...(i)

Resistance of second wire is given by

Rl

r2 22

=rp( )

i.e, Rl

r2 24a ...(ii)

Dividing (ii) by (i), 4 2r we get,

Þ R

R

l r

l r

2

1

2

2

4 1

4= =

/

/

Þ RR

21

4= ...(iii)

When the 2 wires are connected in parallel,the equivalent resistance is

1 1 1

1 2R R Req

= + Þ 1 2 1

1 2R

R R

R Req

=+

Þ RR R

R R

R R

R R

Req =

´

+=

´

+=1 2

1 2

4

4 5

(Q using (iii))

29. A parallel-plate capacitor ofcapacitance C1 is made using twogold plates. Another parallel-platecapacitor of capacitance C 2 is madeusing two aluminium plates withsame plate separation, and all thefour plates are of same area. If rg and ra are respectively the electricalresistivities of gold and aluminium,then which of the following relations is correct?(a) C C1 2> (b) C C2 1>

(c) C Cg a1 2r r= (d) C C1 2=

Ê (d) Capacitance of parallel plate capacitoris given by

CA

do=

Î

Where,Îo = Permitting of free space.

A = Area of cross-section of the plates

d = distance of separation between theplates

A A1 2= and d d1 2=

Here,

Þ C C1 2=

Therefore, the capacitance of parallel platecapacitor does not depends on the material of the plate.

30. A photon of X-ray has energy of1 keV. A photon of visible radiationhas energy of 3 eV. In this context,which one of the followingstatements is not correct?(a) The wavelength of X-ray photon is less

than the wavelength of visible radiation photon.

(b) Both the photons have different

energies.(c) The speeds of both the photons in

vacuum are different.(d) The frequency of X-ray photon is

higher than the frequency of visible

radiation photon.

Ê (c) In physics, electromagnetic radiation(EM radiation or EMR) refers to the waves(or their quanta, photons) of theelectromagnetic field, propagating(radiating) through space carryingelectromagnetic radiant energy.

It includes radio waves, microwaves,infrared, (visible) light, ultraviolet, X- andgamma radiation. Classically,electromagnetic radiation consists ofelectromagnetic waves, which aresynchronised oscillations of electric andmagnetic fields that propagate at the speed of light through a vacuum.



31. The optical phenomenon that isprimarily responsible for theobservation of rainbow on a rainyday is(a) diffraction (b) interference

(c) dispersion (d) reflection

Ê (c) One of nature’s most splendidmasterpieces is the rainbow. A rainbow isan excellent demonstration of the dispersion of light and one more piece of evidence that visible light is composed of a spectrum ofwavelengths, each associated with a distinctcolour.

32. With regard to ‘Project Tiger’, whichone of the following statements isnot correct?(a) It was launched in India in the

year 1973.(b) The objective of the Project is to

preserve the habitats and tigerstherein as natural heritage.

(c) The project emphasised to ensure

viable population of tigers in India.(d) There are no tiger reserves in

North-eastern parts of India.

Ê (d) Tiger reserves in North-Eastern parts ofIndia are as follows

Tiger reserve (Arunachal Pradesh)

Dampa (Mizoram)

Pakke (Arunachal Pradesh)

Nameri (Assam)

33. Which one of the following is not abiosphere reserve of India?(a) Agasthyamalai (b) Nokrek

(c) Great Nicobar (d) Great Himalayan

Ê (d) Great Himalayan is a national park notBiosphere reserve. It is located in Kulluregion of Himachal Pradesh. It wasestablished in 1984. All other are Biospherereserves of India.

34. Which one of the fol low ingstate ments with re gard to the In dianRail ways is not cor rect?(a) The In dian rail net works have been

de vel oped through out the Konkancoast.

(b) There is very low den sity of rail way

lines in the Hi ma la yan re gion.(c) The North In dian Plain has a dense

net work of rail way.

(d) At pres ent, In dia has the larg estrail way net work in the world.

Ê (d) The USA has the larg est rail way sys tem in the world, about 240000 km con nect ing48 con ti nen tal States. That is enough trackto cir cle the Earth five times. Rus sia (154000 km) and Can ada (72961 km) fol low. In diaco mes fifth with 62658 km of rail road af terCan ada and China.

35. Which of the fol low ing state mentswith re gard to the Med i ter ra neanag ri cul ture is/are correct?1. The Mediterranean agriculture is

highly specialised commercialagriculture.

2. It is intensive subsistenceagriculture dominated by wetpaddy cultivation.

3. It is a primitive subsistenceagriculture.

4. Viticulture is a speciality of theMediterranean region.

Select the correct answer using thecode given below.(a) Only 1 (b) 2 and 3

(c) 1 and 4 (d) 1, 3 and 4

Ê (c) In this type, farm ing is in ten sive, highlyspe cial ised and var ied in the kinds of cropsraised. Many crops, such as wheat, bar leyand veg e ta bles are raised for do mes ticcon sump tion, while oth ers like cit rus fruits,ol ives, and grapes are mainly for ex port. The Med i ter ra nean lands are also known as‘or chard lands of the world’. Vi ti cul ture orgrape cul ti va tion is typ i cal of theMed i ter ra nean re gions. It calls for a highlyintensive form of farming.

36. Which one of the fol low ingstate ments with re gard to the win tersol stice is cor rect?(a) The South Pole ex pe ri ences 24 hours

of dark ness.(b) It oc curs on 21st June.(c) The North Pole ex pe ri ences 24 hours

of dark ness.(d) The Sun is at aph elion.

Ê (c) It oc curs on 21st De cem ber, be ing thelon gest day of the year, also means thatpeo ple in the ar eas South of the Ant arc ticCir cle to wards the South Pole will seethe mid night Sun, i.e., have 24 hours ofday light, dur ing this time of the year. Forpeo ple in the North ern Hemi sphere, theDe cem ber sol stice marks the ex actop po site, the day of the year with few esthours of day light. North of the Arc tic Cir cleto wards the North Pole, there is no di rectsun light at all dur ing this time of the year.

37. Trop i cal ev er green rain forest biomepro vides op ti mum en vi ron men talcon di tions for the growth of plantsand an i mals. Which one among thefol low ing state ments re gard ing thisis not correct?(a) It has heavy rain fall and high

tem per a ture through out the year(b) This biome is also called

mega-ther mal biome(c) The ev er green rain for est biome

ex tends be tween 10° N and 10° Slat i tudes

(d) The max i mum de vel op ment of thisbiome has taken place in cen tral and

south ern Cal i for nia and North-West ern

coastal lands of Africa

Ê (d) Central and Southern California andNorth-Western Coastal lands of Africa are arid in nature. They are not evergreen biomas.These regions are known for desert climate.

38. Tsu nami waves are the un der seaoc cur rence of earth quake ex ceed ing 7.5 on Rich ter scale. Which one of thefol low ing state ments re gard ing this isnot correct?(a) It of ten gen er ates strong waves.

(b) The Pa cific coasts are most vul ner a bleto Tsu nami waves.

(c) Tsu nami waves are also calledhigh-en ergy tidal waves or seis mic sea

waves.

(d) Tsu nami is a Latin word.

Ê (d) ‘Tsu nami’ word first re corded in theEng lish lan guage in 1897, from the Jap a neseword tsu nami, from ‘tsu’ mean ing ‘har bour’ +‘nami’ mean ing waves.

39. Which of the fol low ing state ments with re gard to cloud burst is/are cor rect?

1. It is defined as sudden localised veryheavy downpour with cloud thunder and lightning.

2. It mostly occurs in the hilly areas.3. It results into very high intensity of

rainfall, i.e., 250 mm-300 mm in acouple of hours.

4. It occurs only during daytime.Se lect the cor rect an swer us ing thecode given be low.(a) 1, 2 and 3 (b) 1, 3 and 4

(c) 2 and 3 (d) Only 2

Ê (a) Cloudbrust is an extreme amount ofpre cip i ta tion in a short pe riod of time.Some time ac com pa nied by hail and thunder,that is ca pa ble of cre at ing flood conditions.

40. Which one of the fol low ing withre gard to Aridisol, one of the soilor ders, is not cor rect?(a) Lack of wa ter for plants dur ing most part

of the year(b) High or ganic mat ter

(c) Large ac cu mu la tion of car bon ates

at depth(d) Ab sence of deep wide cracks

Ê (b) A soil of an or der com pris ing typ i callysa line or al ka line soils with very lit tle or ganicmat ter, char ac ter is tic of arid regions.

41. What is the max i mum num ber ofstates of mat ter?(a) Three (b) Four

(c) Five (d) Vari able

Ê (c) There are five known, or states ofmatter-solids, liquids, gases, plasma andBose-Einstein condensates. They exist dueto difference in structures of each state andin densities of the particles.

42. The chemical properties of anelement depend upon(a) the number of isotopes of the element

(b) the mass number of the element(c) the to tal num ber of neu trons in the

el e ment

(d) the num ber of elec trons in theout er most shell of the element

Ê (d) The chemical properties of an elementdepend upon the number of electrons in the outermost shell of the element because they participate in bound formation anddissociation.

43. Which one of the followingstatements is not correct?(a) The cathode rays originate from

cathode and proceed towards theanode in a cathode-ray

discharge tube.

(b) The television picture tubes arenothing but cathode-ray tubes.

(c) The cath ode rays them selves are not

vis i ble.(d) The characteristics of cathode rays

depend upon the nature of the gaspresent in the cathode-ray tube.

Ê (d) Cathode ray tube is a vacuum tube that contains one ore more electron guns and aphosphorescent screen and is used todisplay images. The characteristics ofcathode rays depend upon the nature of the gas present in the cathode-ray tube.

44. The molecular mass of sulphuric acidis 98. If 49 g of the acid is dissolved in water to make one litre of solution,what will be the strength of the acid?(a) Two normal (b) One normal

(c) 0.5 normal (d) Four normal

Ê (b) Normality is a way of expressing theconcentration of solution. It is defined as the concentration expressed as the number ofequivalent weights of solute per litre ofsolution.

Here, equivalent weight of H SO2 4 is 98/2 =49.

So, normality of solution is 1. Hence, thestrength of 49 g of acid dissolved in water to make one litre of solution is 1N.

45. Which one of the followingstatements with regard to Jet stream,an upper level tropospheric wave, isnot correct?(a) It is narrow band of high-velocity wind.

(b) It follows the wave path near thetropopause at elevations of 8 km to 15

km.

(c) Jet streams are typically continuousover long distances.

(d) In summer, the polar front jet achieves

its maximum force.

Ê (d) The greater the pressure gradient, thestronger the winds will be, which is why thepolar jet stream wind speeds varies indifferent locations. Therefore, the polar jetstream shifts its location from winter tosummer, depending on the temperaturedifferences which cause strong pressuregradients.

The greatest temperature gradients in thewinter reach farther South meaning thepolar jet stream extends farther Southduring winter months. In the summer,temperature differences aren’t as great andare farther North (in Canada) so the polar jet stream is usually farther North. The largecontrast in temperature in the winter alsocauses the polar jet stream to be stronger in the winter months than summer.

46. The Gulf Stream is a polewardflowing current in the AtlanticOcean. Which one of the followingstatements with regard to this isnot correct?(a) It is similar to the Kuroshio current in

the North Pacific Ocean.(b) It transports warm, tropical water

towards polar region.(c) This current is a major factor in

weather along the East coast of

the USA.(d) The warm water of the Gulf Stream

sustains the coral reefs of West

Pacific Coast.

Ê (d) The last option is valid for Kuroshiocurrent as Gulf stream occurs inAtlantic ocean.

47. Which one of the following aboutsugar industry of Peninsular India isnot correct?(a) High yield per hectare of sugarcane

(b) Higher sucrose content(c) Long crushing season

(d) Most of the mills in the Peninsula arelocated mainly along the East coast

Ê (d) Most mills are situated on the Westcoast like in Maharashtra, Gujarat,Karnataka.

48. ‘Rand/ZAR’ is the currency of(a) Burundi (b) Libya

(c) Sudan (d) South Africa

Ê (d) Rand/ZAR is the currency of SouthAfrica.

49. Which one of the following ports islocated on estuary?(a) Kandala (b) Marmagao

(c) Kolkata-Haldia (d) Tuticorin

Ê (b) Marmagao is an important port of Goalocated at the entrance of Zuvari estuaryand occupies fifth position in handling thetraffic. Its harbour is protected and holdsabout 50 steamers in fair season and 15steamers in rainy season. It has the capacity to handle 16.1 million tonnes of cargotraffic.

50. Which one of the followingstatements is not correct?(a) Pavo cristatus is the national bird

of India.

(b) Nelumbo nucifera gaertn is the national flower of India.

(c) Ficus benghalensis is the national treeof India.

(d) Mangifera indica is the national animalof India.

Ê (d) Mangifera Indica (Mango) is thenational fruit of India.

51. Which one of the followingstatements is correct in relation tothe GST Bill passed by the RajyaSabha in August 2016?(a) It will replace all Central taxes, duties,

etc., only by a single tax.

(b) It will subsume Central as well as State taxes, duties etc.

(c) GST will be levied on alcoholic liquorfor human consumption at a uniform

rate of 25%.

(d) Petroleum and petroleum productsshall not be subjected to the levy

of GST.

Ê (b) The Bill seeks to amend theConstitution to introduce a Goods andServices Tax (GST), which will subsumesvarious Central indirect taxes, including theCentral excise duty, Countervailing duty,Service tax, etc. It also subsumes StateValue Added Tax (VAT), Octroi and entrytax, Luxury tax, etc. Under the Bill, alcoholicliquor for human consumption is exemptedfrom GST. Also, it will be up to the GSTCouncil to decide, when GST would belevied on various categories of fuel,including crude oil and petrol.

52. The sensitive information leaked inAugust, 2016 concerns, which one ofthe following defense platformsof India?(a) Fifth Generation Fighter Aircraft(b) Combat Helicopters

(c) Submarines

(d) Unmanned Aerial Vehicles



Ê (c) Sensitive data related to India’sScorpene submarines has been leaked,with French shipbuilder DCNS, whichdesigned the submarine, facing a leak ofdocuments spreading over 22000 pages.

INS-Kalvari, first of the Scorpene-classsubmarines, is expected to be inducted into the Indian Navy later this year.

53. How many medals were won byIndia in 2016 Summer Olympics?(a) One Silver and one Bronze(b) Two Gold

(c) Two Bronze

(d) None of the above

Ê (a) PV sindhu, at 21, became the youngestto win an Olympic Medal a silver, which was never achieved in badminton; and Sakshi’sbronze was also a first forwomen’s wrestling.

54. India became a member of which one of the following in 2016?(a) Non-Proliferation Treaty(b) Missile Technology Control Regime

(c) Nuclear Suppliers Group

(d) Wassenaar Arrangement

Ê (b) Missile Technology Control Regime(MTCR) aims at restricting the proliferationof missiles, complete rocket systems,unmanned air vehicles and relatedtechnology for those systems capable ofcarrying a 500 km payload for at least300 km, as well as systems intended for thedelivery of Weapons of Mass Destruction(WMD).

55. India signed an agreement in 2016 todevelop a strategic port in one of itsneighbouring countries. What is thename of the port?(a) Chabahar (b) Gwadar

(c) Hambantota (d) Mongla

Ê (d) Dhaka and New Delhi have signed 30to 35 primary and final agreements,including that for the use of Chittagong andMongla ports by India and its freshcommitment for project loans. It is astrategic deal by India considering theinterference of China in India’sneighbourhood.

56. Which one of the followingstatements is not correct in respect of the South Asian Association forRegional Cooperation (SAARC)?(a) Its Headquarters is located in

Kathmandu.

(b) China is the only country with an

Observer status in SAARC.(c) The First SAARC Summit was held in

Dhaka.(d) The Eighteenth SAARC Summit was

held in Nepal.

Ê (b) The South Asian Association forRegional Cooperation (SAARC) is theregional inter-governmental organisation and geopolitical union of nations in South Asia. Its member States include Afghanistan,Bangladesh, Bhutan, India, Nepal, theMaldives, Pakistan and Sri Lanka.

SAARC comprises 3% of the world’s area,21% of the world’s population and 3.8%($ 2.9 trillion) of the global economy, asof 2015.

SAARC has 9 observers—Australia, China,European Union, Iran, Japan, Republic ofKorea, Mauritius, Myanmar and USA.

57. Which of the following statement(s)about the IIbert Bill (1883)is/are correct?

1. It proposed to grant limited criminal jurisdiction to native officials.

2. It proposed to grant complete civiland criminal jurisdiction to nativeofficials.

3. The proposed Bill generatedopposition from England’sEuropean subjects in India.

4. In spite of opposition to the Bill, itwas passed without anymodifications.

Select the correct answer using thecode given below.(a) 1 and 2 (b) Only 2

(c) 1 and 3 (d) 3 and 4

Ê (c) The bill was introduced in 1883 byViceroy Ripon, who actually desired toabolish the racial prejudice from the IndianPenal Code. Ripon had proposed anamendment for existing laws in the countryand to allow Indian judges and magistratesthe jurisdiction to try British offenders incriminal cases at the District level. It wasnever allowed before.

So naturally, the Europeans living in Indialooked it as a humiliation and theintroduction of the bill led to intenseopposition in Britain as well as India (by theBritish residents). So, it was withdrawn butwas reintroduced and enacted in 1884 withseveral amendments.

58. Consider the following statementsabout the Second Five-Year Plan :

1. It was drafted under the leadershipof KN Raj.

2. It proposed that industries likeelectricity, railways, steel,machineries and communicationcould be developed in thepublic sector.

3. The drafters found balancingindustry and agriculture verydifficult.

4. The drafters found balancingindustry and agriculture really easy.

Which of the statement(s) given above is/are correct?(a) Only 1 (b) 1 and 2

(c) 2 and 3 (d) 3 and 4

Ê (c) The Second Five Year Plan was to setIndia on the path of industrialisation.PC Mahalanobis was the moving spirit behind the Second Five Year Plan.

He gave the highest priority to strengtheningthe industrial base of the economy

Objectives of this plan are as follows

(i) A sizeable increase in national incomeso as to raise the level of living.

(ii) Rapid industrialisation of the countrywith particular emphasis on thedevelopment of basic and keyindustries.

(iii) A large expansion of employmentopportunities by developinglabour-intensive projects and smallscale industries.

59. Consider the following statementsabout the different meanings of‘Swaraj’ as articulated by MahatmaGandhi:

1. Swaraj is intimately linked withAhimsa (non-violence) andSatyagraha (adherence to truth).

2. Swaraj has two senses-one politicaland one beyond the realm of politics.

3. Swaraj is something that requirestime and patience to acquire.

4. With determination, Swaraj could be obtained easily and quickly.

Which of the statement(s) given above is/are correct?(a) Only 1 (b) 1 and 2

(c) 3 and 4 (d) 1, 2 and 3

Ê (d) Gandhiji completely accomplished hismission of forming a concept of Swaraj beforedying Swaraj, which is a sacred word, a vedicword meaning self-rule and self-restraint andnot freedom from all restraint, whichindependence ‘often means’. The concept ofSwaraj was not merely confined to freeingIndia from the British hand. Swaraj is nottransfer of political power to the Indians, nordoes it means as he emphasised mere political self determination. It involves a movement ofself purification too. It is not the replacement ofone type of authority by another. He felt, thereal Swaraj will come into by the acquisition of authority by a few but by the acquisition of the capacity by all to resist authority whenabused. Swaraj is to be attained by educating the masses to a rescue of their capacity toregulate and control the authority. Gandhiperceived non violence as the key to attainsuch freedom and self control.

60. What was/were the formativeinfluence(s) on the philosophy ofMahatma Gandhi?

1. Gandhiji was influenced by the18th Century Pranami sect thatadvocated the unity of faiths.

2. Gandhiji was influenced by thetheosophists.

3. Gandhiji was an admirer of thewritings of Romantics likeWordsworth.

Select the correct answer using thecode given below.(a) 1 and 2 (b) 2 and 3

(c) 1, 2 and 3 (d) Only 1

Ê (c) “It was through theosophy thatGandhiji was induced to study his ownheritage. Theosophy is the brotherhood of man.” Gandhiji’s mother Putlibaibelonged to the pranami sect, whichtalked about Hindu-Muslim Unity.

61. Which of the following statementsabout the Shiromani GurudwaraPrabandhak Committee (SGPC)are correct?

1. It began as the political wing ofthe Singh Sabhas in the late 19thcentury.

2. It was formed in 1920 as part ofthe upcoming Akali movement.

3. It was founded to reclaim controlof the Sikh Shrines from thegovernment manipulated loyalistcommittees.

4. It formed the Akali Dal tocoordinate groups (Jathas) toreclaim control of the shrines.

Se lect the cor rect an swer us ing thecode given be low.(a) 1, 3 and 4 (b) 2, 3 and 4

(c) 2 and 4 (d) 2 and 3

Ê (b) In 1920, the emerging Akalileadership summoned general assemblyof the Sikhs holding all shades of opinionon 15th, November 1920 in vicinity ofthe Akal Takht in Amritsar. The purposeof this assembly was to elect arepresentative committee of the Sikhs toadminister the Harmandir Sahib Complexand other importanthistorical Gurudwaras.

Two days before the proposedconference the British government set-upits own committee consisting of 36Sikhs to manage the Harmandir Sahib.Sikhs held their scheduled meeting andelected a bigger committee consisting of175 members and named it as Shiromani Gurudwara Prabandhak Committee.

Starting in late 1920, a large number ofreformers both in urban and rural Punjab had joined to form separate and independentreligious orders called jathas. The primarypurpose of a jatha was to gain control overlocal gurudwaras. A jatha under thecommand of a jathedar would occupy ashrine and try to take over management in itsfavour from its current incumbents.

62. Which of the following statementswith regard to the speech of MahatmaGandhi at the opening of the BanarasHindu University are correct?

1. He charged the Indian elite with alack of concern for the labouringpoor.

2. He asserted that our salvation cancome only through the farmers.

3. He highlighted the plight of theuntouchables.

4. He promised to take up the cause ofthe mill owners of Ahmedabad.

Se lect the cor rect an swer us ing thecode given be low.(a) 1, 2, 3 and 4 (b) 1 and 2

(c) 1, 2 and 3 (d) 3 and 4

Ê (b) Our salvation can only come through thefarmer. Neither the lawyers, nor the doctors,nor the rich landlords are going to secure it.For two years Gandhi ji had travelledextensively and had talked at different places.He now, wanted to start some workconnected with labour. His interest firstcentred in the problem of indentured labour,the system under which poor, ignorantlabourers were enticed away India to work inthe British colonies.

63. To be eligible to contest election underthe Haryana Panchayati Raj(Amendment) Act, 2015, acandidate should

1. have a functional toilet at home2. have payment slips of power bills3. not be a cooperative loan defaulter4. have studied minimum matriculation

irrespective of categorySe lect the cor rect an swer us ing thecode given be low.(a) 1, 2 and 3 (b) 1, 2 and 4

(c) 1, 2, 3 and 4 (d) 3 and 4

Ê (a) The amended State Panchayati Raj Actbarred five categories of people fromcontesting Panchayat elections. These were:Persons, who are charged in a criminal casefor an offence that could be punished withimprisonment for not less than 10 years.

Those who defaulted on agriculture loans.Persons with outstanding payments ofelectricity bills. Those, who do not have the

minimum specified education qualification.Those, who do not have a functional toilet at their residence.

The minimum education qualification tocontest Panchayat poll is Class X forgeneral candidates, Class VIII pass forwomen and Dalits, Class V for Dalit women.Note here that in Haryana, 41% ScheduledCaste men have not passed Class VIII; and68% of SC women have not made it toClass V. Around 45% of rural households do not have a toilet and that figure roses to55% among SC households.

64. Arrange the following Commissionschronologically on the basis of theirdate of setting :

1. The Second AdministrativeReforms Commission

2. The Eleventh Finance Commission3. Punchhi Commission4. Sarkaria CommissionSe lect the cor rect an swer us ing thecode given be low.(a) 4, 2, 1, 3 (b) 4, 3, 2, 1

(c) 3, 2, 4, 1 (d) 3, 4, 1, 2

Ê (a) Sarkaria Commission was setup inJune, 1933 by the Central Government ofIndia. The Sarkaria Commission’s charterwas to examine the relationship andbalance of power between State andCentral Governments in the country andsuggest changes within the framework ofConstitution of India.

The Eleventh Finance Commission of Indiawas appointed by the President on 3rd July, 1998 for the Period 2000-05.

Second Administrative ReformsCommission 5th August, 2005 as acommittee of inquiry to prepare a detailedblueprint for revamping the publicadministration system.

In April, 2007, a three member commissionheaded by the former Chief JusticeMM Punchhi was set-up by the UPAgovernment to take a fresh look at relativeroles and responsibilities of various levels of government and their inter-relations.

65. Who among the following won aGold Medal for India in Men’s Javelin Throw event at the 2016 RioParalympic Games?(a) Rinku Hooda

(b) Devendra Jhajharia(c) Sundar Singh Gurjar

(d) Mariyappan Thangavelu

Ê (b) Thangavelu Mariyappan (high jump)and Devendra Jhajharia (javelin throw) wonParalympic Gold Medals, while Deepa Malik (shot put) had claimed a silver. Varun SinghBhati (high jump) had won a bronze medal.



66. Which of the following statementswith regard to Panchayats in Indiaare correct?

1. Seats in a Panchayat are filled bydirect election from the territorialconstituencies in the Panchayatarea.

2. The Gram Sabha is the body ofpersons registered in the electoralrolls relating to a village within the Panchayat area.

3. The Panchayats work on theprinciple of constitutionalautonomy.

4. The State Legislature may by lawendow the Panchayats with thepower and authority to enablethem to function.


(c) 1, 2 and 4 (d) 1 and 4

Ê (c) The State Legislatures are needed toenact laws to endow powers and authorityto the Panchayats to enable them functionsof local self government.

67. Which of the following statement(s)regarding Indian federal systemis/are correct?

1. All States have equalrepresentation in the Rajya Sabha.

2. Consent of a State is not requiredfor altering its boundaries.

3. There is no dual citizenship inIndia.

Se lect the cor rect an swer us ing thecode given be low.(a) 1, 2 and 3 (b) 2 and 3


Ê (b) The Fourth Schedule to the Constitution provides for allocation of seats to the States and Union Territories in Rajya Sabha. Theallocation of seats is made on the basis ofthe population of each State.

The Indian government’s Overseas Citizensof India (OCI) and Person of Indian Origin(PIO) programmes are often incorrectlydescribed as not true, as India does notrecognise dual citizenship offering dualnationality or dual citizenship.

68. Which of the following are thepowers of the Supreme Courtof India?

1. Original jurisdiction in a disputebetween the Government of Indiaand one or more states.

2. The power to hear appeals fromthe High Courts.

3. Passing decrees and orders fordoing justice in any matter before it.

4. Render advice to the President ofIndia in matters of law.

Se lect the cor rect an swer us ing thecode given be low.(a) 1, 2, 3 and 4 (b) 1, 2 and 3

(c) 1 and 2 (d) 3 and 4

Ê (a) The Supreme Court of India is thehighest judicial forum and final court ofappeal under the Constitution of India. Asthe final court of appeal under theconstitution of India, it takes up appealsprimarily against verdicts of the high courtsof various state of the union. The lawdeclared by the Supreme Court becomesbinding on all courts within India.

69. Which one of the following is not acom po nent of Rev e nue Re ceipts ofthe Un ion Gov ern ment?(a) Cor po rate tax re ceipts

(b) Dividends and prof its(c) Dis in vest ment re ceipts

(d) In ter est re ceipts

Ê (c) Revenue receipts of the governmentare generally classified under two heads :

(i) Tax revenue

(ii) Non-tax revenue

Disinvestment receipts come under capitalreceipts, other options come under tax andnon-tax revenues.

70. TRIPS agreement pertains to(a) in ter na tional tar iff re gime(b) in tel lec tual prop erty pro tec tion

(c) in ter na tional prac tices on tradefa cil i ta tion

(d) in ter na tional tax a tion of prop erty

Ê (b) The Agreement on Trade-RelatedAspects of Intellectual Property Rights(TRIPS) is an international legal agreementbetween all the member nations of theWorld Trade Organisation (WTO). It setsdown minimum standards for the regulationby national governments of many forms ofIntellectual Property (IP) as applied tonationals of other WTO member nations.

71. The 7.6% growth rate registered byIndian economy during the year2015-16 is based on(a) Gross Na tional Prod uct at mar ket

prices(b) Gross Value Added at con stant prices(c) Gross Do mes tic Prod uct at mar ket

prices(d) Gross Do mes tic Prod uct at con stant

prices

Ê (d) Central Statistic Office (CSO) under the Ministry of Statistics and Programme Implementation (MOSPI) on 31st May 2016

released the growth rate for year 2015-16. Itwas 7.6% which was based on GrossDomestic Product at Constant (2011-12)prices.

72. Which of the following statementsabout the Trans-Pacific Partnership(TPP) is/are correct?

1. The TPP was signed by 12 PacificRim nations in the year 2015.

2. The TPP is likely to be agame-changer in global trade asmember countries account forabout 40% of global GDP.

3. India is a founder member of TPP.Se lect the cor rect an swer us ing thecode given be low.(a) 1, 2 and 3 (b) 1 and 2


Ê (b) The TPP (Trans-Pacific Partnership is atrade agreement between Australia, BruneiDarussalam, Canada, Chile, Japan,Malaysia, Mexico, New Zealand, Paris,Singapore, United States and Vietnam. It isthe largest trade agreement in history.

73. Which of the following statement(s)about Bitcoin is/are correct?

1. It is a decentralised virtualcurrency.

2. It is generated through complexcomputer software systems.

3. The Reserve Bank of Indiarecognised it as a legal tender inJanuary, 2016.

Select the cor rect an swer us ing thecode given be low.(a) Only 1 (b) 1 and 2

(c) 2 and 3 (d) 1, 2 and 3

Ê (b) Bitcoin is a cryptocurrency and apayment system invented by an unidentified programme, or group of programmers,under the name of Satoshi Nakamoto.Bitcoin was introduced on 31st October,2008 to a cryptography mailing list,andreleased as open-source software in 2009.There have been various claims andspeculation concerning the identity ofNakamoto, none of which are confirmed.The system is peer-to-peer and transactions take place between users directly, withoutan intermediary.

74. Hindustan Aeronautics Limitedhanded over the first twoindigenously designed andmanufactured light combat aircraftsto the Indian Air Force in 2016. Whatis the name of these new combataircrafts?(a) Marut (b) Garud

(c) Tejas (d) Pushpak

Ê (c) Hindustan Aeronautics Limited (HAL)handed over the first two Tejas aircrafts toIAF, which will make up the ‘Flying Daggers’ 45, the name of the first squadron of theLCA. India’s first indigenous LCA, which isall set to replace the MiG-21 series, is aresult of several years of design anddevelopment work by AeronauticalDevelopment Agency (ADA) and HAL.

75. Consider the following statementabout the famous football player :“He was diagnosed with a growthhormone deficiency during hischildhood but went on to win threeEuropean Golden shoes in hiscareer.” Who is that player?(a) Andres Iniesta (b) Lionel Messi

(c) Cristiano Ronaldo(d) Zinedine Zidane

Ê (b) Lionel Messi was diagnosed witha growth Hormone Disorder or GHD. It isoften called idiopathic short stature, butthere are problems that go beyond beingshorter than average.

76. Which of the following statementsis/are correct?

1. In June 2016, the LIGO group ofscientists announced the detectionof a second set of gravitationalwaves.

2. Gravitational waves weregenerated due to merger of twoblack holes at about 1.4 billionlight-years distant.

3. Gravitational waves were inserteddue to collision of two white dwarf stars at about 1.4 billion light-years distant.

Se lect the cor rect an swer us ing thecode given be low.(a) Only 1 (b) 1 and 2

(c) 2 and 3 (d) 1, 2 and 3

Ê (d) About 1.4 billion years ago, theuniverse gave scientists a Christmaspresent. Two black holes spiraled towardone another, approaching closer and closer until they finally collided. The LIGO teamannounced its second detection ofgravitational waves in June—the flexing ofspace and time caused by the blackhole collision.

77. In the year 2016, the Government ofIndia announced a ` 6000 crorespecial package for the textile andapparel sector to

1. create one crore jobs within threeyears

2. create jobs equally for men andwomen

3. provide tax and productionincentives for the entrepreneurs

Se lect the cor rect an swer us ing thecode given be low.(a) Only 1 (b) 2 and 3

(c) 1 and 3 (d) 1, 2 and 3

Ê (c) The Union Government has announced a ` 6000 crore special package forthe textile and apparel sector.The package, which will be implementedsoon, aims to help in creating one crorejobs, mostly for women, in the nextthree years.

78. Which one of the following is not anInter-Ser vices Es tab lish ment?(a) Of fi cers Train ing Acad emy

(b) Na tional De fence Acad emy(c) Na tional De fence Col lege

(d) Armed Forces Med i cal Col lege

Ê (c) The National Defence College (NDC)inaugurated on 27th April, 1960 is the onlyinstitution in the country that impartsknowledge on all aspects of nationalsecurity and strategy. Senior Defence andCivil Service Officers participate in a47-week comprehensive programme ofnational security and strategy.

79. Which one of the following is aPeacetime Gallantry Award?(a) Shaurya Chak ra (b) Vir Chak ra

(c) Yudh Seva Medal(d)Param Vir Chak ra

Ê (a) Shaurya Chakra is an Indian militarydecoration awarded for valour, courageousaction or self-sacrifice while not engaged indirect action with the enemy. It may beawarded to civilians as well as militarypersonnel, sometimes posthumously. It isthe peacetime equivalent of the Vir Chakra.

80. The Headquarters of the SouthernNaval Command of the Indian Navyis located at which one of thefollowing places?(a) Karwar (b) Kochi

(c) Thiruvananthapuram (d) Chennai

Ê (b) The Southern Naval Command is oneof the three main formations of the IndianNavy. It has its Headquarters in Kochi,Kerala at INS-Venduruthy, and iscommanded by the Flag OfficerCommanding-in-Chief. The PresentFOC-in-C is Vice-Admiral Girish Luthra.

81. Match List-I with List-II and selectthe correct answer using the codegiven below the list :

List-I (Act /Event) List-II(Year)

A. Rowlatt Act 1. 1922

B. Salt March 2. 1931

C. Chauri Chaura Incident 3. 1930

D. Second Round TableConference

4. 1919

Code

A B C D A B C D

(a) 4 3 1 2 (b) 3 1 4 2

(c) 4 3 2 1 (d) 3 4 2 1

Ê (a)

82. Consider the following statementsabout the Salt March:

1. The Salt March was deliberatelyignored by the European media.

2. The Salt March was widely coveredby the American and European press.

3. The Salt March was the firstnationalist activity in which womenparticipated in large numbers.

4. The Salt March impressed upon theBritish the urgent need to devolvemore power to Indians.

Which of the state ments given aboveare cor rect?(a) 1, 2 and 4 (b) 2, 3 and 4

(c) 3 and 4 (d) 2 and 3

Ê (d) The Working Committee contactedAmerican, European, and Indian news mediain order to ensure that a wide audiencelearned of the action.The civil disobedience in 1930 marked thefirst time women became mass participants in the struggle for freedom. Thousands ofwomen, from large cities to small villages,became active participants in satyagraha.

83. In the elections to the provinciallegislatures in 1937 in British India

1. only about 10 to 12 per cent of thepopulation had the right to vote

2. the untouchables had no right to vote3. the Congress won an absolute

majority in five out of elevenprovinces

4. the Muslim League won more than80% of the seats reserved for Muslims


(c) 1 and 3 (d) 2, 3 and 4

Ê (d) The Congress swept the polls. It wonabsolute majority in 5 provinces viz. Madras,United Provinces, Central provinces, Biharand Orissa, Bombay, Assam and North-WestFrontier Province, it emerged as the largestpolitical party and formed the governments.Later Assam and NWFP also came underCongress rule. The results were in favour ofthe Indian National Congress. Of the total of1,585 seats, it won 707 (44.6%). Among the864 seats assigned general constituencies, itcontested 739 and won 617. Of the 125non-general constituencies contested byCongress, 59 were reserved for Muslims andin those the Congress won 25 seats, 15 of



them in the entirely- Muslim North-WestFrontier Province. Voters of the depressedclasses (untouchables), in the terms of theAward, vote in general constituencies, but anumber of seats are assigned to them,which will be filled by election from specialconstituencies in which voters belonging tothe depressed classes only vote.

84. Which of the following statement(s)about the social base of the AryaSamaj in British India is/are correct?

1. It was located mainly in Punjab and Western Uttar Pradesh.

2. It mainly comprised the tradingcastes.

3. It was much more limited than thatof the Brahmo Samaj.

Se lect the cor rect an swer us ing thecode given be low.(a) 1 and 2 (b) 2 and 3

(c) Only 1 (d) 1, 2 and 3

Ê (c) Arya Samaj is an Indian Hindu ReformMovement that promotes values andpractices based on the belief in the infalibleauthority of the Vedas. Arya Samaj wasestablished in Bombay on 7th April, 1875. By 1873 it become more than just a regionalmovement based in Punjab.

85. Who among the following is theauthor of the book A Com par i sonBe tween Women and Men?(a) Pandita Ramabai (b) Sarojini Naidu

(c) Tarabai Shinde (d) Rameshwari Nehru

Ê (c) Tarabai Shinde (1850-1910) was afeminist activist, who protested patriarchy and caste in 19th century India. She is known forher published work, ‘A Comparison BetweenWomen and Men’ (Stree-Purush Tulana),originally published in Marathi in 1882.

86. The fact that the planets move around the Sun, not in circles but in ellipses,was first demonstrated by(a) Ga li leo (b) Mar tin Lu ther

(c) Johannes Kep pler(d) Co per ni cus

Ê (c) All planets move in elliptical orbits, withthe Sun at one focus.It was postulated byJ. Keppler.

87. During the mid 19th centuryIndustrial Revolution, the average life span of workers in Manchester was(a) 17 years (b) 30 years

(c) 55 years (d) 62 years

Ê (a) In a British Government study, anaverage life span was 17 years for aworking-class person in one city, 38 yearsfor a rural area worker. Coal miner’s life span was shortened 10 years shorter than that ofother workers because of harsh conditions.

88. George Washington was made thecommander-in-Chief of theAmerican forces

(a) in De cem ber 1773, af ter the Boston Tea Party

(b) at the First Con ti nen tal Con gressin Sep tem ber, 1774

(c) at the Sec ond Con ti nen talCon gress in 1775

(d) by the Con ti nen tal Con gress at the Dec la ra tion of In de pend ence on 4th, July 1776

Ê (c) On 3rd July, 1775, Washington officiallytook command of the poorly trained andunder-supplied Continental Army. After 6years of struggle and despite frequentsetbacks, Washington managed to lead thearmy to key victories and Great Britaineventually surrendered in 1781. Due largelyto his military fame and humble personality,Americans overwhelmingly electedWashington their first President in 1789.

89. Alexander Kerensky was

(a) the head of the Pro vi sionalgov ern ment in Rus sia be fore theOc to ber Rev o lu tion

(b) a close confident of Lenin, withwhose help the Czar wasdethroned

(c) the head of the Czar’s armyd the ad vi sor of Jo seph Sta lin

Ê (a) Alexander Kerensky led, for part of itsshort life, the Provisional government.Kerensky belonged to the SocialistRevolutionaries, the Petrograd Soviet andwas a member of the Duma. He wastherefore, seen as a solid representative ofthe working class and in July, 1917 became the Prime Minister of the Provisionalgovernment.

90. The Twelfth Five-Year Plan focusedon inclusive growth. Which of thefollowing were considered aschallenges for inclusiveness?1. Poverty 2. Group inequality3. Regional imbalance4. UnemploymentSe lect the cor rect an swer us ing thecode given be low.(a) 1, 3 and 4 (b) 1, 2, 3 and 4

(c) 1, 2 and 4 (d) 2 and 3

Ê (a) Inclusive growth means economic growth that creates employmentopportunities and helps in reducingpoverty. It means having access toessential services in health and educationby the poor. It includes providing equality of opportunity, empowering people througheducation and skill development.

91. Which of the following statements arecorrect about ‘Saakshar Bharat’scheme?1. It is a centrally sponsored scheme

which was launched during theEleventh Five-Year Plan.

2. The scheme applies to women inparticular and disadvantaged groupsin general.

3. The scheme applies to persons above the age of 10 years.

4. The scheme is anchored withPanchayati Raj Institutions and Local Self-Government.


(c) 1, 2 and 4 (d) 1, 3 and 4

Ê (c) Saakshar Bharat, the new variant ofearlier NLM, a centrally sponsored scheme ofDepartment of School Education and Literacy (DSEL), Ministry of Human ResourceDevelopment (MHRD), Government of India(GoI), was launched on the InternationalLiteracy Day, 8th September, 2009 with thefollowing goals :

to raise literacy rate to 80%, to reduce gender gap to 10% and minimise regional and socialdisparities, with focus on Women, SCs, STs,Minorities, other disadvantaged groups. Allthose districts that had female literacy ratebelow 50% (as per Census 2001) includingLeft Wing Extremism affected districts(irrespective of literacy level) are beingcovered under the programme. (AGEGROUP) (15-35).

92. BRICS Summit, 2016 was held in (a) Brazil (b) China

(c) In dia (d) South Af rica

Ê (c) During India’s BRICS Chairmanship,Countries have adopt five-pronged approach :

l Institution building to further deepen,sustain and institutionalise BRICScooperation.

l Implementation of the decisions fromprevious summits.

l Integrating the existing cooperationmechanisms.

l Innovation, i.e., new cooperationmechanisms.

l Continuity, i.e., continuation of mutuallyagreed existing BRICS cooperationmechanisms.

93. Which country signed a Memorandumof Understanding with India forpromoting the production of PigeonPeas/Tur and other pulses inJuly, 2016?(a) South Af rica (b) Syria

(c) Egypt (d) Mo zam bique

Ê (d) India and Mozambique have signedthree Memoranda of Understandings (MoU) in areas of drug trafficking, pulse tradingand sports.

94. Which of the following statementsrelating to the powers of thePresident of India is/are correct?

1. The executive power of the Unionshall be vested in the President.

2. The executive power shall beexercised by the President onlythrough officers subordinate to him.

3. The Supreme Command of thedefence forces of the Union shallbe vested in the President.



Ê (a) Under Article 53 of the IndianConstitution, the President of India exercises his executive powers directly or bysubordinate authority.

95. Which of the following statementsregarding Article-21 of theConstitution of India is/are correct?

1. Article 21 is violated when theunder-trial prisoners are detainedunder judicial custody for anindefinite period.

2. Right to life is one of the basichuman rights and not even theState has the authority to violatethat right.

3. Under Article-21, the right of awoman to make reproductivechoices is not a dimension ofpersonal liberty.



Ê (b) Article-21 assures protection of life andpersonal liberty. No person shall bedeprived of his life or personal liberty except according to procedure established by law,so state can take away this right.

96. Which of the following statement(s)is/are correct regarding Right toEducation in India?

1. Free and compulsory educationshould be provided to all childrenof the age of 6 to 14 years.

2. The imperative of the provision ofthe Right to Education Act, 2009 isthat schools must have qualifiedteachers and basic infrastructure.

3. There should be quality educationwithout any discrimination on theground of economic, social andcultural background.



Ê (a) This act provides that the states willensure that no non-teaching work is given to the teachers. The act recommends qualityteachers and mandates that untrainedteachers will have to upgrade themselves in5 years. The act has listed minimuminfrastructure requirements as a part of theschools and mandates the States to ensurethat schools have these requirements. Theschools which don’t conform to the qualitystandards as mentioned in the Act, willupgrade themselves in 3 years or facederecognition.

97. Which one of the followingstatements regarding freedom tomanage religious affairs as per theConstitution of India is not cor rect?(a) Ev ery re li gious de nom i na tion shall

have the right to man age its ownaf fairs in mat ters of re li gion ex cept

some mi nor com mu ni ties.

(b) Every re li gion or any sec tion there ofshall have the right to own and ac quire

mov able and im mov able prop erty.(c) Every re li gious com mu nity has the right

to es tab lish and main tain in sti tu tions for

re li gious and char i ta ble pur poses.(d) Every com mu nity has the right to

man age its own af fairs in mat ters

of re li gion.

Ê (a) According to Article-30 in theConstitution of India 1949 Right of minorities to establish and administer educationalinstitutions. All minorities, whether based on religion or language, shall have the right toestablish and administer educationalinstitutions of their choice.

98. Which one of the followingstatements relating to protectionagainst arrest and detention ofindividuals under Article-22 isnot cor rect?(a) No per son who is ar rested shall be

de tained in cus tody with out be ingin formed of the grounds for such ar rest.

(b) No per son shall be de nied the right to

con sult, and be de fended by, a le galprac ti tio ner of his/her choice.

(c) Ev ery per son, who is ar rested andde tained in cus tody, shall be

pro duced be fore the near est

Mag is trate within a pe riod of one week of such ar rest.

(d) The right to pro tec tion against ar rest is not avail able to a per son in jail

pur su ant to a ju di cial or der.

Ê (c) Every person, who is arrested anddetained in custody shall be producedbefore the nearest Magistrate within aperiod of twenty four hours of such arrestexcluding the time necessary for the journey from the place of arrest to the court of theMagistrate and no such person shall bedetained in custody beyond the said periodwithout the authority of a Magistrate.

99. Which one of the followingintellectual property rights isprotected without making anyregistration?(a) Copy right (b) Pat ent

(c) In dus trial de sign (d) Trade mark

Ê (a) Acquisition of copyright is automaticand it does not require any formality.Copyright comes into existence as soon asa work is created and no formality isrequired to be completed for acquiringcopyright. However, certificate ofregistration of copyright and the entriesmade therein serve as prima facie evidencein a court of law with reference to disputerelating to ownership of copyright.

100.Which one of the following indicesis now used by the Reserve Bank ofIndia (RBI) to measure the rate ofinflation in India?(a) NASDAQ In dex

(b) BSE In dex

(c) Con sumer Price Index

(d) Whole sale Price In dex

Ê (c) The Former Reserve Bank of India(RBI) Governor, Raghuram Rajan, said thatthe Central Bank had adopted the newConsumer Price Index (CPI) (combined) asthe key measure of inflation.This decision isbased on the Urjit Patel Committee report.

101.The Most Favoured Nation (MFN)clause under WTO regime is basedon the principle of

(a) non-dis crim i na tion be tween na tions(b) dis crim i na tion be tween na tions

(c) dif fer en tial treat ment be tween lo cals

and for eign ers(d) uni form tar iff across commodiates

Ê (a) Most-Favoured-Nation (MFN) clausementions that under the WTO agreementsother people should be treated equally.Countries cannot normally discriminatebetween their trading partners, grantsomeone a special favour (such as a lowercustoms duty rate for one of their products)and you have to do the same for all otherWTO members.



102.Goods and Services Tax likely to belevied in India is not a(a) gross value tax (b) value-added tax

(c) con sump tion tax

(d) des ti na tion-based tax

Ê (a) GST would be a comprehensive indirect tax on manufacture, sale andconsumption of goods and servicesthroughout India, to replace taxes levied bythe Central and State Governments. Goodsand Services tax would be levied andcollected at each stage of sale or purchaseof goods or services according to valueadded, based on the input taxcredit method.

103.Amartya Sen was awarded the Nobel Prize for his contribution to

(a) Mon e tary Eco nom ics

(b) Wel fare Eco nom ics

(c) En vi ron men tal Economics(d) De vel op ment Eco nom ics

Ê (b) Welfare Economics is defined as abranch of economics that studies how thedistribution of income, resources and goodsaffects the economic well-being. An example of welfare economics is the study of howcertain health services help bridge thebarrier between different classes of people.

104.The rank of Captain of the IndianNavy is equivalent to which one ofthe following?

(a) Cap tain of the In dian Army

(b) Group Cap tain in the In dian Airforce

(c) Lieu ten ant Col o nel of the In dian Army(d) Wing Com mander of the In dian

Airforce

Ê (b) India uses the midshipman rank in itsnavy, and all future officers carry the rankupon entering the Indian Naval Academy.The rank of captain of the Indian Navy isequivalent to group captain in the IndianAirforce.

105.Which one of the followingstatements is correct in relation tothe Indian Airforce?

(a) It has bases in many friendly coun tries.

(b) It does not carry out joint ex er cises with

any coun try.(c) It has a sep a rate Main te nance

Com mand.

(d) No of fi cer has ever been el e vated tothe rank Mar shal of the In dian Airforce.

Ê (c) Yes IAF has its Maintenance Commandwith headquarters at Nagpur, Maharashtra.

106.The Indian Navy in October 2016commissioned the highlymanoeuverable fast attack craftINS-Tihayu. INS-Tihayu would bebased in

(a) Kochi (b) Panaji

(c) Visakhapatnam (d) Mumbai

Ê (c) The 315-tonne INS-Tihayu is the sixthWJFAC Car Nicobar Class vessel to becommissioned and allotted to the EasternFleet of the Navy, in Visakhapatnam.

107.Which one of the following sectorsis not af fected by the changes made in the For eign Di rect In vest mentPol icy in June, 2016?

(a) Multi-brand re tail ing

(b) De fence(c) Pri vate se cu rity agen cies

(d) Man u fac tur ing of small arms and

am mu ni tions cov ered un der theArms Act, 1959

Ê (d) FDI in India is the major monetarysource for economic development inIndia-Infrastructure, Automotive,Manufacturing, Pharmaceuticals, Service,Railways, Chemical, Textile and Airtimesare few major sector where FDI is allowed.

108.BREXIT refers to the Great Britainleaving which one ofthe following?

(a) In ter na tional Mon e tary Fund

(b) Com mon wealth(c) World Trade Or ga ni sa tion

(d) Eu ro pean Un ion

Ê (d) BREXIT is the popular term for theprospective withdrawal of the UnitedKingdom (UK) from European Union (EU).In a referendum on 23rd June 2016, 51.9% of the participating UK electrorate voted to leave the EU.

109.In which one of the following cities are the Summer Olympics, 2020going to be held?(a) Lon don (b) Paris

(c) To kyo (d) Mos cow

Ê (c) 2020 Summer Olympics officiallyknown as the Games of the XXXIIolympiad and commonly known as Tokyo2020. The games are planned to be heldfrom 24th July to 9th August, 2020 inTokyo.

110.Who among the following is thePresident of Republic of the Unionof Myanmar?(a) Aung San Suu-Kyi

(b) Htin Kyaw

(c) Myint Swe (d) Henry Van Thio

Ê (b) Htin Kyaw was elected as the ninthPresident of Myanmar on 15th March,2016 by 360 of the 652 MPs at theAssembly of the Union; Aung San Suu-Kyiwas appointed as the State Counsellor, aposition similar to Prime Minister, on 6thApril, 2016.

Directions (Q.Nos. 111-112) Thefollowing two items con sist of twostate ments, I and II. Ex am ine thesetwo state ments care fully and se lect the cor rect an swer us ing the codegiven be low.

Code(a) Both the state ments are in di vid u ally true

and state ment II is the cor rect

ex pla na tion of state ment I(b) Both the state ments are in di vid u ally true

but state ment II is not the cor rectex pla na tion of state ment I

(c) State ment I is true but state ment II is

false(d) State ment I is false but state ment II is

true.

111.Statement I The passing of theCoercive Acts made reconciliationbetween Britain and her Americancolonies virtually impossible.

Statement II The British Parliament,having issued the Stamp Act in 1765,repealed it later.

Ê (b) The Stamp Act was passed by theBritish Parliament on 22nd March, 1765. Thenew tax was imposed on all Americancolonists and required them to pay a tax onevery piece of printed paper they used.Ship’s papers, legal documents, licenses,newspapers, other publications, and evenplaying cards were taxed.

If this new tax were allowed to pass withoutresistance, the colonists reasoned, the doorwould be open for far more troublesometaxation in the future. Americans erupted inanger. Before the law could even take effect,resolutions condemning the Stamp Actpoured into Great Britain. This made thereconciliation effort impossible.

112.Statement I The Poona Pactprovided for 151 reserved seats forthe Scheduled Castes to be elected bya joint, not separate, electorate.

Statement II Dr. BR Ambedkarwithdrew from active politics foralmost a decade when the CommunalAward was revoked.

Ê (d) The Poona Pact provided for 148reserved seats for the Scheduled Castes to be elected by a joint, (not separate) electorate.

113.Which one of the following statements about the All India Depressed ClassesAssociation is not correct?

(a) The All In dia De pressed ClassesAs so ci a tion was formed in Nagpur with

MC Ra jah as its first elected Pres i dent.

(b) The All In dia De pressed ClassesAs so ci a tion was not at tended by Dr.

BR Ambedkar in 1926.

(c) Ambedkar re signed from the All In diaDe pressed Classes As so ci a tion and

formed his own All In dia De pressed

Classes Con gress in 1930.(d) The All In dia De pressed Classes

As so ci a tion fa voured Ambedkar’sde mand for sep a rate elec tor ate for

the de pressed classes.

Ê (d) In 1932, MC Rajah concluded a pactwith two members of the Indian NationalCongress, Dr. BS Moonje and Jadhav.According to this pact, Moonje offeredreserved seats to Scheduled Castes inreturn for Rajah’s support. This demandprompted BR Ambedkar to make an official demand for separate electorates on anall-India basis.

114.Which one of the followingstatements about the Justice Party is not cor rect?

(a) It clam oured for the same kind of

sep a rate com mu nal rep re sen ta tion for the Non-Brah mins as had been

granted to the Mus lims by theMorley-Minto Re forms.

(b) It was pa tron ised mainly by richer

land own ing and ur ban mid dle classNon-Brah mins.

(c) It suc ceeded in get ting the pro vi sion

for 28 re served seats for theNon-Brah mins in the

Montagu-Chelmsford Re forms.(d) It sup ported the call given by the

Con gress to boy cott elec tions

in 1920.

Ê (d) The birth of the Dravidian Movement,the oldest and most enduring anti-Britishmovement in the country, can be traced to20th November, 1916, when a group ofleading non-Brahmin citizens of Madras,such as Dr. TM Nair, Sir Pitti TheagarajaChettiar and the Raja of Panagal cametogether to form the South Indian LiberalFederation (SILF), which was also knownas Justice Party. The party won 1920election as the Indian National Congressboycotted it.

115.The Ryotwari experiment in landrevenue was started by

(a) Henry Dundas(b) Al ex an der Reed

(c) Da vid Ricardo(d) Mountstuart Elphinstone

Ê (b) The Ryotwari System of assessment of land revenue was started by AlexanderReed and Thomas Munro in Madras, Berar, Bombay and Assam, which covered about52% of the cultivable land.

116.Which of the following statementsis/are correct regarding the Preamble of the Indian Constitution?

1. The Preamble by itself is notenforceable in a Court of Law.

2. The Preamble states the objectiveswhich the Constitution seeks toestablish and promote.

3. The Preamble indicates the sourcefrom which the Constitutionderives its authority.



Ê (a) Preamble is a part of the Constitutionbut one cannot go to court to get it enforced, i.e., non-justiciable. The State cannot dosomething just because it is mentioned inthe Preamble, nor it is restrained to dosomething just because the Preambledisallows it. Preamble is a key to the mindsof our Constitution makers. Hence, it can beuseful in interpreting a provision ofConstitution in times of ambiguity.

117.Which one of the followingstatements relating to cultural andeducational rights in India isnot cor rect?

(a) Ev ery sec tion of the cit i zens has the

right to con serve its lan guage, scriptor cul ture.

(b) No cit i zen shall be de nied ad mis sion

into any ed u ca tional in sti tu tionmain tained by the State or re ceiv ing aid

out of State funds on grounds ofre li gion, race or lan guage.

(c) The State shall, in granting aid

ed u ca tional in sti tu tions, dis crim i nateagainst any ed u ca tional in sti tu tion on

the ground that it is un der the

man age ment of a ma jor ity com mu nity.(d) All mi nor i ties, whether based on

re li gion or lan guage, shall have the

right to es tab lish and ad min is tered u ca tional insitutions of their choice.

Ê (c) The State shall not, in granting aid toeducational institutions, discriminate againstany educational institution on the groundthat it is under the management of aminority, whether based on religionor language.

118.Which one of the followingstatements relating to the DirectivePrinciples of State Policy is notcor rect?

(a) The pro vi sions con tained in Part IV of

the Con sti tu tion of In dia shall not been force able by any Court.

(b) The Di rec tive Prin ci ples of State Pol icyare fun da men tal in the gov er nance of

the coun try.

(c) It shall be the duty of the State to ap ply

the Di rec tive Prin ci ples in mak ing laws.

(d) The Di rec tive Prin ci ples are di rected in

mak ing In dia an ad vanced cap i tal istcoun try of the world.

Ê (d) DPSPs are not enforceable in a court of law. They were made non-justifiable keeping in view that the State may not haveresources to implement them. All of themare novel principles, which call upon theState to provide a welfare government(socialist State) which can bring live idealsof the Constitution.

119.Which one of the followingstatements is not cor rect re gard ingthe Of fice of the Vice-Pres i dentof In dia?

(a) The Vice-Pres i dent is elected by an

electoral col lege con sist ing of theelected mem bers of both the Houses

of the Par lia ment.

(b) The Vice-Pres i dent is elected inac cor dance with the sys tem of

pro por tional rep re sen ta tion by means

of sin gle trans fer able vote.(c) The Vice-Pres i dent shall not be a

mem ber of ei ther house of thePar lia ment or of a House of the

Leg is la ture of any State.

(d) The Vice-Pres i dent of In dia shall beex-officio chair man of the Coun cil of

States and shall not hold any of fice

of profit.

Ê (a) The Vice-President is elected by anelectoral college consisting of all (elected +non elected) members of both Houses ofParliament, in accordance with the systemof proportional representation by means ofthe single transferable vote and the voting in such election is by secret ballot.

120.Which one of the followingconstitutional authorities inquiresand decides in case of doubts anddisputes arising out of election ofthe President and Vice-Presidentof India?

(a) The Su preme Court of In dia

(b) The Elec tion Com mis sion of India

(c) The Par lia men tary Committee(d) The High Court of Delhi

Ê (a) The Supreme Court of India is thehighest judicial forum and final court ofappeal under the Constitution of India, Asthe final court of appeal of the country ittakes up appeals primarily against verdictsof the highest authority including, the state,union, President and Vice-President.


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