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��MUKHERJEE NAGAR ��MUNIRKA ��UTTAM NAGAR�� DILSHAD GARDEN ��ROHINI��BADARPUR BORDER

1. The least fraction to be subtracted from the

expression

1 4 53 of

4 5 61 1 3 1

4 213 5 10 5

�

� ��

to make it an

integer is:

(A)1

2(B)

5

6

(C)1

4(D)

3

10

2. The value of

1

12 140��

1

8 60��

2

10 84�is:

(A) 0 (B) 1(C) 2 (D) 3

3. The product of two number is 24 times thedifference of these two numbers. If the sumof these number is 14, the larger numberis.(A) 9 (B) 8(C) 7 (D) 10

4. In a classroom there are certain numberof benches. If 6 students are made to sit ona bench, then to accommodate all of them,one more bench is needed. However, if 7students are made to sit on a bench, then,after accomodating all of them, space for 5students is left. What is the total numberof students in the class?(A) 30 (B) 42(C) 72 (D) None of these

5. If P is a prime number such that (P + 2) isalso a prime number, then P (P + 2) +1 is :(A) only an odd integer(B) only a prime number(C) a perfect square(D) not a perfect square

6. The LCM and HCF of two numbers are 84and 21 respectively. If the ratio of twonumbers is 1:4, then the larger of twonumbers is:(A) 12 (B) 40(C) 84 (D) 1050

7. What will be the remainder when(5382 + 53) is divided by 54?(A) 2 (B) 0(C) 54 (D) 50

8. The value of 1 1 1

1 1 12 3 4

� � � � � �� ..

11

120

� ��

is

(A) 30 (B) 40.5(C) 60.5 (D) 121

9. The average monthly salary of the workers

in a workshop is ` 8,500. If the average

monthly salary of 7 technicians is

` 10,000 and the average monthly salary of

the rest is ` 7,800, then the total number

of workers in the workshop is(A) 18 (B) 20(C) 22 (D) 24

10. The average of the terms of the given series148, 146, 144,142, 140, ..............is 125, thenthe total number of terms in this series willbe(A) 18 (B) 24(C) 30 (D) 40

11. There were 35 students in a hostel. If thenumber of students increases by 7, the

expenses of mess increase by ` 42 per day

while the average expenditure per headdiminishes by 1.Find the originalexpenditure of the mess.

(A) ` 320 (B) ` 420

(C) ` 160 (D) ` 158

12. The ratio in which Darjeeling tea at ` 32

per kg, is mixed with Assam tea at ` 25 per

kg so as to gain 20% by selling the mixture

at ` 32.40 per kg, is :

(A) 2 : 5 (B) 5 : 2(C) 1

: 5 (D) 5 : 1

13. How much pure alcohol has to be added to400 ml of a solution containing 15% ofalcohol to change the concentration ofalcohol in the mixture to 32%?(A) 60 ml (B) 100 ml(B) 128 ml (D) 68 ml

14. A man is 50 years old. His brother is 7 yearsolder than him and his sister is 12 yearsyounger than his brother. When hissister was 15 years old, then the men’s agewas:(A) 27 yrs (B) 19 yrs(C) 15 yrs (D) 20 yrs

15. By selling an article for ` 144, a man gained

such that the percentage gain equals thecost price. The cost price of the article is.

(A) ` 60 (C) ` 72

(C) ` 80 (D) ` 64

16. Tulsiram’s salary is 20% more than that

of Kashyap. If Tulsiram saves ` 720 which

is 4% of his salary, then Kashyap’s salary

(in ` .) is

(A) ` 15000 (B) ` 12000

(C) ` 10000 (D) ` 22000

ARITHMETICARITHMETICARITHMETICARITHMETIC

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1.

3

1 1 3 14 21

3 5 10 5

�

� ��

(A)1

2(B)

5

6

(C)1

4(D)

3

10

2. 1

12 140��

1

8 60��

2

10 84�

(A) 29 (B) 19

(C) 11 (D) 21

3.

(A) 9 (B) 8

(C) 7 (D) 10

4.

(A) 30 (B) 42

(C) 72 (D)

5. P (P + 2)

P(P + 2 )+1

(A) (B)

(C) (D)

6.

(A) 12 (B) 40

(C) 84 (D) 1050

7.

(A) 2 (B) 0

(C) 54 (D) 50

8.1 1 1

1 1 12 3 4

� � � � � �� ...........

11

120

� ��

(A) 30 (B) 40.5

(C) 60.5 (D) 121

`

9. `

` `

(A) 18 (B) 20

(C) 22 (D) 24

10. 148, 146, 144,142, 140, ..............

125

(A) 18 (B) 24

(C) 30 (D) 40

11.

`

`

(A) ` 320 (B) ` 420

(C) ` 160 (D) ` 158

12. ` `

`

(A) 2 : 5 (B) 5 : 2

(C) 1 : 5 (D) 5 : 1

13.

(A) 60

(B) 128 (D) 68

14.

(A) 27 (B) 19

(C) 15 (D) 20

15. `

(A) ` 60 (C) ` 72

(C) ` 80 (D) ` 64

16.

`

( ` )

(A) ` 15000 (B) ` 12000

(C) ` 10000 (D) ` 22000

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17. A man walked diagonally across a squareplot. Approximately what was the precentdistance saved by not walking along theedges?(A) 30 (B) 20(C) 33 (D) 24

18. Difference of two numbers is 1660. If 1

6 %2

of

one number is equal to1

8 %2

of the other

number, the smaller number is.(A) 7055 (B) 5395(C) 3735 (D) 2075

19. The ratio of the number of boys to that ofgirls in a school is 4 : 1. If 75% of boys and70% of the girls are scholarship hoders,then the percentage of students who do notget scholarship is(A) 50 (B) 28(C) 75 (D) 26

20. A person sold a TV for ` 9400 and he lost aparticular amount. When he sold anotherTV of the same type at ` 10600, his gainwas double the former loss. What was thecost price of each TV?(A) ` 9800 (B) ` 10000

(C) ` 10200 (D) ` 1040021. The percentage of loss when an article is

sold at ` 50 is the same as that of the profit

when it is sold at ` 70. The above mentionedpercentage of profit or loss on the article is.

(A) 10% (B)2

16 %3

(C) 20% (D)2

22 %3

22. Jeevan bought an article with 30%discount on the labeled price. He sold thearticle with 12 percent profit on the labeledprice. What was his percent profit on theprice he bought?(A) 40 (B) 50(C) 60 (D) 80

23. A tradesman gives 4% discount on themarked price and gives 1article free forbuying every 15 articles and thus gains35%. The marked price is increased abovethe cost price by.(A) 40% (B) 39%(C) 50% (D) 20%

24. The difference between a discount of 30%on ` 2000 and two successive discounts of25% and 5% on the same amount is(A) ` 30 (B) ` 35

(C) ` 25 (D) ` 4025. A shopkeeper sells his goods at10% discount

on the marked price. What price should hemark on an article that costs him ` 900 togain 10%?(A) ` 1275 (B) ` 1250

(C) ` 1175 (D) ` 1100

26. A certain amount earns simple interest of

` 1750 after 7 years. Had the interest per

annum been 2% more, how much more

interest would it have earned?

(A) ` 35 (B) ` 350

(C) ` 245

(D) cannot be determined

27. Reena borrowed ` 6,450 at 5 percent simple

interest repayable in 4 equal instalments.

What will be the annual instalment payable

by him?

(A) ` 1710 (B) ` 1800

(C) ` 1910 (D) ` 1860

28. Mr. X invested an amount for 2 years at 15%

per annum at simple interest. Had the

interest been compounded, he would have

earned ` 450/-more as interest. What was

the amount invested?

(A) ` 22,000 (B) ` 25,000

(C) ` 25,000 (D) None of these

29. The compound interest on a certain sum

for 2 years is ` 105 and simple interest is

` 100. The rate of interest per annum and

the sum are:

(A) 10% ` 500 (B) 10% ` 1000

(C) 20% ` 1000 (D) None of these

30. There are three numbers A,B, C such that

twice of A is equal to thrice of B and four

times of B is equal to five times of C. Then

the ratio between A and C is.

(A) 3 : 4 (B) 8 : 15

(C) 15 : 8 (D) 4 : 3

31. The weights of Mr. Gupta and Mrs. Gupta

are in the ratio 7 : 8 and their total weight,

combined is 120 kg. After taking a dieting

course Mr. Gupta reduces by 6 kg and the

ratio between their weights changes to

5 : 6. So, Mrs. Gupta has reduced by

(A) 2 kg (B) 4 kg

(C) 3 kg (D) 5 kg

32. In a class, the number of girls is 20% more

than that of the boys. The strength of the

class is 66. If 4 more girls are admitted to

the class, the ratio of the number of boys

to that of the girls is.

(A) 1 : 2 (B) 3 : 4

(C) 1 : 4 (D) 3 : 5

33. If A : B = 1

2:3

8, B : C =

1 5:

3 9 and C : D

= 1 5

:3 9

, then ratio A : B : C : D is

(A) 6 : 4 : 8 : 10 (B) 6 : 8 : 9 : 10

(C) 8 : 6 : 10 : 9 (D) 4 : 6 : 8 : 10

4


17.

(A) 30 (B) 20

(C) 33 (D) 24

18.1

6 %2

18 %

2

(A) 7055 (B) 5395

(C) 3735 (D) 2075

19.

(A) 50 (B) 28

(C) 75 (D) 26

20. `

`

(A) ` 9800 (B) ` 10000

(C) ` 10200 (D) ` 10400

21. `

`

(A) 10% (B)2

16 %3

(C) 20% (D)2

22 %3

22.

(A) 40 (B) 50

(C) 60 (D) 80

23.

(A) 40% (B) 39%

(C) 50% (D) 20%

24. `

(A) ` 30 (B) ` 35

(C) ` 25 (D) ` 40

25.

`

(A) ` 1275 (B) ` 1250

(C) ` 1175 (D) ` 1100

26. `

(A) ` 35 (B) ` 350

(C) ` 245

(D)

27. `

(A) ` 1710 (B) ` 1800

(C) ` 1910 (D) ` 1860

28. X,

` 450

(A) ` 22,000 (B) ` 25,000

(C) ` 25,000 (D)

29.

` `

(A) 10%, ` 500 (B) 10% , ` 1000

(C) 20%, ` 1000 (D)

30. A, B C A B

B C

A C

(A) 3 : 4 (B) 8 : 15

(C) 15 : 8 (D) 4 : 3

31.

(A) 2 (B) 4

(C) 3 (D) 5

32.

(A) 1 : 2 (B) 3 : 4

(C) 1 : 4 (D) 3 : 5

33. A : B = 1

2:3

8, B : C =

1 5:

3 9 C : D

= 1 5

:3 9

, A : B : C : D

(A) 6 : 4 : 8 : 10 (B) 6 : 8 : 9 : 10

(C) 8 : 6 : 10 : 9 (D) 4 : 6 : 8 : 10

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34. A's salary is first increased by 20% and then

decreased by 25%. The result is same as

B's salary increased by 25% and then

decreased by 20%. Find the ratio of B's

salary to A's salary?

(A) 10 : 9 (B) 1 : 2

(C) 2 : 1 (D) 9 : 10

35. A and B can do a piece of work in 10 days. B

and C can do it in 12 days; C and A in 15

days. In how many days will C finish it

alone?

(A) 24 days (B) 30 days(C) 40 days (D) 60 days

36. A car can cover a certain distance in 1

42

h.

If the speed is increased by 5km/h, it would

take 1

2 h less to cover the same distance.

Find the slower speed of the car.

(A) 50 km/h. (B) 40km/h.

(C) 45km/h. (D) 60km/h.

37. A does half as much work as B in one sixth

of the time. If together they take 10 days to

complete a work, how much time shall B

alone take to do it?

(A) 70 days (B) 30 days

(C) 40 days (D) 50 days

38. A and B undertook to do a piece of work for

` 4500. A alone could do it in 8 days and B

alone in 12 days. With the assistance of C

they finished the work in 4 days. Then C’s

share of the money is

(A) ` 2250 (B) ` 1500

(C) ` 750 (D) ` 375

39. Two friends P and Q started a business

investing amount in the ratio of 5 : 6.

R joined them after 6 months investing an

amount equal to that of Q’s amount. At the

end of year 20% profit was earned which

was equal to ` 98,000. What was the

amount invested by R?

(A) ` 2,10,000 (B) ` 1,05,000

(C) ` 1,75,000 (D) ` 2,25,000

40. Water is flowing at the rate of 5 km/h

through a pipe of diameter 14 cm into a

rectangular tank which is 50m long and 44

m wide. Determine the time in which the

level of water in the tank will rise by 7cm

22Take

7

� ��

.

(A) 2.1h (B) 2.0h

(C) 2.5h (D) 2.2h

41. A water filling Pipe P is 5 times faster than

second Pipe Q. If P fills a cistern in 30

minutes. How long will it take to fill the

tank, when both the pipes are kept in

operation simultaneous?

(A) 7min. (B) 6min.

(C) 8min. (D) 5min.

42. A and B run a kilometer and A wins by 25

sec. A and C run a kilometer and A wins by

275 m. When B and C run the same

distance, B wins by 30 sec. The time taken

by A to run a kilometer is

(A) 2 min 25 sec (B) 2 min 50 sec

(C) 2 min 20 sec (D) 3 min 30 sec

43. From a point on a circular track 5 km long,

A, B and C started running in the same

direction at the same time with speeds of

12

2 km per hour, 3 km per hour and 2 km

per hour respectively. Then on the starting

point all three will meet again after

(A) 30 hours (B) 6 hours

(C) 10 hours (D) 15 hours

44. A man riding a cycle at 12 km/hr can reach

a town in 4 hours 30 minute. If he delayed

by 1 hr. 30 min at the start, then in order

to reach his destination in time he should

ride with a speed of:

(A) 15 km/hr. (B) 16 km/hr.

(C) 18 km/hr. (D) 20 km/hr.

45. Two men are running in the same direction

with a speed of 6km per hour and 1

72

km

per hour. A train running in the same

direction crosses them in 5sec and 1

52

sec

respectively. The length and the speed of

the train are respectively.

(A) 22.92m (approximately ) and 22 km/

hour.

(B) 22m (approximately ) and 22.5 km/

hour.

(C) 22.90m (approximately ) and 20.5 km/

hour.

(D) 22.92m (approximately ) and 22.5 km/

hour.

46. Two trains are running in opposite direction

with the same speed. If the length of each

train is 120 metres and they cross each

other in 12 seconds, the speed of each train

(in km/hour) is

(A) 72 (B) 10

(C) 36 (D) 18

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34. A

B

B A

(A) 10 : 9 (B) 1 : 2

(C) 2 : 1 (D) 9 : 10

35. A B

B C C A

C

(A) 24 (B) 30

(C) 40 (D) 60

36.1

42

1

2

(A) 50 (B) 40

(C) 45 (D) 60

37. A, B B

B

(A) 70 (B) 30

(C) 40 (D) 50

38. A B `

A B

C

C

(A) ` 2250 (B) ` 1500

(C) ` 750 (D) ` 375

39. P Q,

R Q

` 98,000

R

(A) ` 2,10,000 (B) ` 1,05,000

(C) ` 1,75,000 (D) ` 2,25,000

40.

7

(A) 2.1 (B) 2.0

(C) 2.5 (D) 2.2

41. 'P' 'Q'

Q

(A) 7 (B) 6

(C) 8 (D) 5

B A,

C

A, 275 B C

B, 30

(A) 2 25 (B) 2 50

(C) 2 20 (D) 3 30

43. A,

B C 1

22

(A) 30 (B) 6

(C) 10 (D) 15

44.

(A) 15 (B) 16

(C) 18 (D) 20

45.1

72

15

2

(A) 22.92 22

(B) 22 22.5

(C) 22.90 20.5

(D) 22.92 22.5

46.

(A) 72 (B) 10

(C) 36 (D) 18

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47. A boat goes 6 km an hour in still water, but

takes thrice as much time in going the

same distance against the current. The

speed of the current (in km/hour) is:

(A) 4 (B) 5

(C) 3 (D) 2

48. The greatest of 2 , 36 43, 4, 5 is.

(A) 2 (B) 6 3

(C) 3 4 (D) 4 5

49. If y = 3 x � 1 + 3 � x � 1, then the least value ofy is:

(A) 6 (B)2

3

(C) 2 (D)3

2

50. If x = u v

uv1

�

�and y =

u v

uv1

�

�, then the vaule of

x y

xy1

�

� is.

(A)u

v21�(B)

u

v

2

1 �

(C)u

u2

2

1 �(D)

u

u2

2

1�

51. If x + x

1= � 2 then the value of x2n+1 + nx2 1

1�

where n is a postive integer, is

(A) 0 (B) 2

(C) � 2 (D) � 5

52. A wooden box measures 20 cm by 12 cm by

10 cm. Thickness of wood is 1 cm. Volume

of wood to make the box (in cubic cm) is

(A) 960 (B) 519

(C) 2400 (D) 1120

53. Four equal sized maximum circular plates

are cut off from a square paper sheet of area

784 sq.cm. The circumference of each plate

is (Take 22

7 )

(A) 22 cm (B) 44 cm

(C) 66 cm (D) 88 cm

54. If a2 + b2 = 117 and ab = 54, then a b

a b

�

� is

(A) 3 (B) 5

(C) 6 (D) 7

55. If a � b = 2 and a + b = 3 , then the value

of 4ab ( a2 + b2 ) is

(A)5

2(B)

2

3

(C)3

2(D)

3

2

56. If x 2 +x 2

1= 7 then x3 +

x 3

1 = ?

(A) 182 (B) 18

(C) 222 (D) 22

57. If tan � =p

qthen

psin qcos

psin q cos

� � �

� � �is equal to:

(A)2 2

2 2

P q

p q

�

�(B)

2 2P q

2pq

�

(C) 2 2

2pq

p q�(D)

2 2

2 2

p q

p q

�

�

58. If sin� = 3

4, then

2 2

2

cos ec cot

sec 1

� � �

� �is equal to :

(A)5

3(B)

7

3

(C)2

3(D)

3

2

59. The angle of elevation of a boat from a 15 m

high bridge is 30°. If boat is moving with

the speed of 6 km/hr, then time taken by

the boat to get under the bridge is

(A) 15.59s (B) 13.62s

(C) 90s (D) 18s

60. The angle of elevation of a tower from two

points having a distance of 50 m from one

another is 30° and 60°. These both points

are on the same line which goes from the

base of tower. The height of tower, in meter

is

(a) 25 3 (B) 50

(C) 20 3 (D) None

61. Which is not correct?

(A) sin4 � - cos4� = sin2 � + cos2�(B) cos6 � + sin6� =1 - 3 sin2� cos2�

(C)1

sec tan� � �=sec� + tan�

(D) cosec2� - 1 = cot2�62. At a point P on the ground, the angle of

elevation of the top of a 10m tall building

and of a helicopter hovering some distance

over the top of the building are 30º and 60º

respectively. Then, the height of the

helicopter above the ground is

(a) 10

3m (b) 10 3 m

(c)20

3m (d) 30m

8


47.

(A) 4 (B) 5

(C) 3 (D) 2

48. 2 , 36 43, 4, 5

(A) 2 (B) 6 3

(C) 3 4 (D) 4 5

49. y = 3 x � 1 + 3 � x � 1 y

(A) 6 (B)2

3

(C) 2 (D)3

2

50. x = u v

uv1

�

�y =

u v

uv1

�

�,

x y

xy1

�

�

(A)u

v21�(B)

u

v

2

1 �

(C)u

u2

2

1 �(D)

u

u2

2

1�

51. x + x

1= � 2 x2n+1 + nx2 1

1�

n

(A) 0 (B) 2

(C) � 2 (D) � 5

52. × ×

(A) 960 (B) 519

(C) 2400 (D) 1120

53.

(A) 22 (B) 44

(C) 66 (D) 88

54. a2 + b2 = 117 ab = 54 a b

a b

�

�

(A) 3 (B) 5

(C) 6 (D) 7

55. a � b = 2 a + b = 3 4ab( a2 + b2 )

(A)5

2(B)

2

3

(C)3

2(D)

3

2

56. x 2 +x 2

1= 7 x3 +

x 3

1

(A) 182 (B) 18

(C) 222 (D) 22

57. tan � =p

q

psin qcos

psin q cos

� � �

� � �

(A)2 2

2 2

P q

p q

�

�(B)

2 2P q

2pq

�

(C) 2 2

2pq

p q�(D)

2 2

2 2

p q

p q

�

�

58. sin� = 3

4

2 2

2

cos ec cot

sec 1

� � �

� �

(A)5

3(B)

7

3

(C)2

3(D)

3

2

59. 30º

(A) 15.59 (B) 13.62

(C) 90 (D) 18

60.

30º 60º

(a) 25 3 (B) 50

(C) 20 3 (D)

61.

(A) sin4 � - cos4� = sin2 � + cos2�

(B) cos6 � + sin6� =1 - 3 sin2� cos2�

(C)1

sec tan� � �=sec� + tan�

(D) cosec2� - 1 = cot2�

62. P

30º 60º

(a) 10

3(b) 10 3

(c)20

3(d) 30

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63. The sides of a triangle are 6cm, 11cm and15cm. The radius of its incircle is:

(a)5 2

4cm (B) 3 2 cm

(C) 6 2 cm (D)4 2

5cm

64. A 16m high tree fall on a wall in such a waythat it touch the mid point of the height ofthe wall. The agnle of elevation on the baseof tree from the top of the wall is 60º, thenthe height of wall is.

(A) 20.96cm (B) 15.72cm

(C) 24m (D) None

65. If sin � + cos � = 1 , then sin � cos � is equal

to:

(A) 0 (B) 1

(C) 2 (D) � 166. The shadow of a pole is found 60m increased

when the angle of elevation of sunbecomes 30º on the pole of 45º. The heightof the pole is:

(A) 30 3 1� m (B) 30 3 1� m

(C) 60 3 1� m (D) 60 3 1� m

67. If D and E are points on the sides AB and

AC respectively of a � ABC such that

DE BC. If AD = x, DB = x � 2, AE = x + 2 and

EC = x � 1. The value of x is.

(A) 2.5 (B) 2

(C) 3 (D) 468. In the adjoining figure, ABCD is a

trapezium in which BC AD and itsdiagonals interest at O. If AO = (3x � 1). OC= (5x � 3), BO = (2x + 1) and OD = (6x � 5) thenx is equal to.

(A) 1 (B) 3(B) 2 (D) 4

69. In the adjoining figure, AE is the bisector

of CAD meeting BC produced at E. IfAB = 10cm, AC = 6cm and BC =12cm, thenCE is equal to:

(A) 6cm (B) 12 cm(B) 18cm (D) 20cm

70. CD is direct common tangent to two circlesintersecting each other at A and B. The

CAD CBD � is equal to.

(A) 180º (B) 90º

(B) 360º (D) 120º

71. From a point in the interior of an equilateral

triangle the perpendicular distances of the

sides are 3 cm, 2 3 cm and cm5 3 .The

perimeter (in cm) of the triangle is

(A) 64 (B) 32

(C) 48 (D) 24

72. In the adjoining figure, � ABC is an

isosceles triangle, with AB = AC and ABC

= 50º. Then BDC is

(A) 110° (B) 90°(C) 80° (D) 70°

73. In the adjoining figure A, B, C, D are the coconcyclic points. The value of ‘x’ is:

(A) 50° (B) 60°(C) 70º (D) 90°

74. The base and height of a triangle are 16

and 9cm respectively. The area of another

equilateral triangle is 3

2times of this

triangle, the side of equilateral triangle is:

(A) 9 cm (B) 16 cm

(C) 12.5 cm (D) 12 cm75. Two parallel chords of a circle whose

diameter is 13cm are respectively 5cm and12cm in length. If both the chords lie in asemi circle then the distance betweenthem is:(A) 8.5 cm (B) 5 cm(C) 3.5 cm (D) 3 cm

10


63.

(a)5 2

4(B) 3 2

(C) 6 2 (D)4 2

5

64.

60º

(A) 20.96 (B) 15.72

(C) 24 (D)

65. sin � + cos � = 1 , then sin � cos �

(A) 0 (B) 1

(C) 2 (D) � 1

67. � ABC AB AC D

E DE BC. AD = x, DB = x � 2,

AE = x + 2 EC = x � 1. x

(A) 2.5 (B) 2

(C) 3 (D) 4

68. ABCD

BC AD O

AO = (3x � 1), OC = (5x � 3), BO =

(2x + 1) OD = (6x � 5) x

(A) 1 (B) 3

69. AE CAD

BC E

AB = 10 BC =12

CE

(A) 6cm (B) 12 cm(B) 18cm (D) 20cm

70. CD

A B

CAD CBD �

(A) 180º (B) 90º

(B) 360º (D) 120º

71.

3 , 2 3

5 3

(A) 64 (B) 32

(C) 48 (D) 24

72. , � ABC

AB = AC ABC = 50º. BDC

(A) 110° (B) 90°

73. A, B, C, D

x

(A) 50° (B) 60°º

74.

3

2

(A) 9 cm (B) 16 cm(C) 12.5 cm (D) 12 cm

75.

(A) 8.5 (B) 5

(C) 3.5 (D) 3

Centres at:

==================================================================================

11


76. Three circles of radius 3.5cm each are

placed in such a way that each touches the

other two. The area of the portion enclosed

by the circles is:

(A) 1.975 cm2 (B) 1.967 cm2

(C) 19.67 cm2 (D) 21.21 cm2

77. If x1, x

2, x

3 and y

1, y

2, y

3 are in G.P. whose

common ratio is r, then point P (x1 , y

1), Q

(x2

, y2), R ( x

3, y

3) are on

(A) a straight line (B) an ellipse

(C) a circle

(D) vertices of a triangle

78. The angle between the tangents drawn from

the origin to the circle (x � 7)2 + (y +1)2 = 25

is

(A)3

(B)

6

(C)2

(D)

8

79. The perimeter of a rectangle and a square

are 160m each. The area of the rectangle

is less than that of the square by 100sq m.

The length of the rectangle is.

(A) 30m (B) 60m

(C) 40m (D) 50m

80. By melting a solid lead sphere of diameter

12 cm, three small spheres are made whose

diameters are in the ratio 3 : 4 : 5. The

radius (in cm) of the smallest sphere is

(A) 3 (B) 6

(C) 1.5 (D) 4

81. The side of a rectangle ABCD, AB = 16 cm

and AD = 8 cm. M, N, P are the mid points of

side AB, AD and DC respectively. The area of

quadrilateral formed by joining B,N, M, P is

(A) 256 (B) 48

(C) 64 (D) 128

82. A rectangular field is 161m long and 136 m

wide. There should be a path all around a

field of equal width. If the area of path is

1204 m2, then the width of path is

(A) 1m (B) 5 m

(C) 2m (D) 5.5m

83. If the length of a rectangle is increased by

2 units and width is decreased by 2 units,

then its area is increased by 20 sq. unit. If

length has been decreased by 2 units and

width is decreased by 1 unit, then its area

is decreased by 37 sq. unit. The area of the

rectangle in sq. unit is

(A) 253 (B) 168

(C) 260 (D) None

84. The difference of areas of two squares drawn

on two line segments of different lengths is 32

sq.cm. Find the length of the greater line

segment if one is longer than the other by 2

cm.

(A) 7cm (B) 9 cm

(C) 11 cm (D) 16cm

85. A hollow cylindrical tube 20 cm long, is made

of iron and its external and internal

diameters are 8 cm and 6 cm respectively.

The volume of iron used in making the tube

is (Take22

7 )

(A) 1760 cu.cm. (B) 880 cu.cm.

(C) 440 cu.cm (D) 220 cu.cm.

86. Through each vertex of a triangle, a line

parallel to the opposite side is drawn. The

ratio of the perimeter of the new triangle,

thus formed, with that of the original

triangle is.

(A) 3 : 2 (B) 4 : 1

(C) 2 : 1 (D) 2 : 3

87. One acute angle of a right angled triangle

is double the other. If the length of its

hypotenuse is 10cm, then its area is:

(A) cm2253

2(B) 25cm2

(C) cm225 3 (D) cm275

2

88. The ice compartment in a refrigerator is

8cm deep, 5cm high and 4cm wide. How

many ice cubes will it hold, if each cube is

2 cm as its edge?

(A) 16 (B) 20

(C) 24 (D) 12

89. The radius and height of a right circular

cone are in the ratio 3 : 4. If its volume is

96 cm3, what is its slant height?

(A) 9cm (B) 8cm

(C) 10cm (D) 12cm

90. A room is 6m long, 5 m broad and 4m high.

If all the walls are to be covered with paper

50cm wide, the length of the paper is:

(A) 96m (B) 176m

(C) 421m (D) 208m

91. Out of 8 gentlemen and 5 ladies, a committe

of 5 is to be formed. Find the number of ways

in which this can be done so as to include

at lest 3 ladies?

(A) 175 (B) 315

(C) 310 (D) 321

12


76.

(A) 1.975 2 (B) 1.967 2

(C) 19.67 2 (D) 21.21 2

77. x1, x

2, x

3y

1, y

2, y

3

r

P (x1 , y

1), Q (x

2, y

2), R ( x

3, y

3)

(A) (B)

(C)

(D)

78. (x � 7)2 + (y +1)2 = 25

(A)3

(B)

6

(C)2

(D)

8

79.

(A) 30 (B) 60

(C) 40 (D) 50

80.

(A) 3 (B) 6

(C) 1.5 (D) 4

81. ABCD AB = 16 AD = 8

M, N, P AB, AD DC

B,N, M, P

(A) 256 (B) 48

(C) 64 (D) 128

82.

(A) 1 (B) 5

(C) 2 (D) 5.5

83.

(A) 253 (B) 168

(C) 260 (D)

84.

(A) 7 (B) 9

(C) 11 (D) 16

85.

(A) 1760 (B) 880

(C) 440 (D) 220

86.

(A) 3 : 2 (B) 4 : 1

(C) 2 : 1 (D) 2 : 3

87.

(A)25

32

(B) 25

(C) 25 3 (D)75

2

88.

(A) 16 (B) 20

(C) 24 (D) 12

89.

(A) 9 (B) 8

(C) 10 (D) 12

90.

(A) 96 (B) 176

(C) 421 (D) 208

91.

(A) 175 (B) 315

(C) 310 (D) 321

Centres at:

==================================================================================

13


Directions : (92 - 95) : The following graphs showthe distribution of workers of differentcategories A to D in Retail Sector andInsurances Sector.

92. If there are 18000 workers each in bothRetail and Insurance Sector, then howmany workers of category A in InsuranceSector are more than those in RetailSector?(A) 5000 (B) 450

(C) 750 (D) 500

93. If the total number of workers of category B

in Retail Sector is 2200, how many workers

of category D are in Insurance Sector?

(A) 1600 (B) 1710

(C) 2100

(D) Can’t be determined

94. Workers of category D in Retail Sector is

what percent of the workers of category B

in Insurance Sector?

(A) 45% (B) 40%

(C) 50%

(D) Can’t be determined

95. The ratio of the number of workers of Retail

Sector to that of Insurance Sector is 5:3,

and the total number of category C workers

in Retail Sector is 1840. The number of

category A workers in Insurance Sector is:

(A) 2304 (B) 2208

(C) 2496 (D) Data Inadequate

Direction (96-100): The following table givesexpenditure details of a family during the years2005 to 2009. Study the table and answer thequestions.

96. What is the percent increase inexpenditure on Education during 2005 to2009?(A) 50 (B) 75

(C) 100 (D) 150

97. Considering the total expenditure for all the

five years together, what is the percent

expenditure on House Rent?

(A) 15 (B) 12

(C) 10 (D) 8

98. There is no increase in expenditures in

2006 as compared to 2005 on item

(A) Food (B) House Rent

(C) Clothing (D) Medical Services

99. In the light of the total expenditures for

2005, 2006, 2007, 2008 and 2009, what will

be the likely expenditure in 2010?

(A) ` 30, 00, 000

(B) ` 32, 00,000

(C) ` 35,00,000

(D) ` 37,00,000

100. Which item of expenditure acounted for the

maximum part of total expenditure in all

the five years?

(A) Clothing (B) Education

(C) House Rent (D) Food

14


A D

92.

A

A

(A) 5000 (B) 450

(C) 750 (D) 500

93. B

D

(A) 1600 (B) 1710

(C) 2100

(D)

94. D

B

(A) 45% (B) 40%

(C) 50%

(D)

95.

C

A

(A) 2304 (B) 2208

(C) 2496 (D)

96.

(A) 50 (B) 75

(C) 100 (D) 150

97.

(A) 15 (B) 12

(C) 10 (D) 8

98.

(A) (B)

(C) (D)

99.

(A) ` 30, 00, 000 (B) ` 32, 00,000

(C) ` 35,00,000 (D) ` 37,00,000

100.

(A) (B)

(C) (D)

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