namma kalvi sslc-maths-em one mark questions march-2012 … · october - 2012 section - i choose...

* * * A.Subbaraj., Graduate Teacher (Maths), GHS, Irunchirai. VNR District * * *

MARCH - 2012

Section - I

Choose the correct answer: (15x1=15)

1) If f = {(6,3), (8,9), (5,3), (–1,6)}, then the pre-image of 3 are

A) 5 and –1 B) 6 and 8 C) 8 and –1 D) 6 and 5

2) If 1+2+3+ . . . + n = k, then 13+2

3+3

3+ . . . + n

3 is equal to

A) k2 B) k

3 C)

�(��)� D) (k+1)

3

3) Which one of the following is not true ?

A) A sequence is a real valued function defined on ℕ

B) Every function represents a sequence

C) A sequence may have infinitely many terms

D) A sequence may have a finite number of terms.

4) If x2 + 5kx + 16 = 0 has no real roots, then

A) � > � B) � > �

� C) �� < � <

� D) 0 < � < �

5) The GCD of (x3+1) and (x

4 – 1) is

A) x3 – 1 B) x

3 + 1 C) x+1 D) x – 1

6) If the order of matrix A is 3 x 4 and the order of matrix B is 4 x 3, then the order of matrix BA is

A) 3 x 3 B) 4 x 4 C) 4 x 3 D) Not defined

7) The midpoint of the line segment joining the points (a, –b), (3a, 5b) is

A) (– a, 2b) B) (2a, 4b) C) (2a, 2b) D) (–a, –3b)

8) The equation of the straight line passing through the point (2, –7) and parallel to x – axis is

A) x = 2 B) x = – 7 C) y = – 7 D) y = 2

9) The point P is 26 cm away from the centre of a circle. If the length of the tangent PT drawn from

the point P is 10 cm, then OT =

A) 36 cm B) 20 cm C) 18 cm D) 24 cm

10) ∆ABC is a right angled triangle, where ∠� = 90� and �� ⊥ ��. If BD = 8 cm, AD = 4 cm, then

CD is

A) 24 cm B) 16 cm C) 32 cm D) 8 cm

11) 1 − � !"#��$��# =

A) %&'( B) )*+( C) %&)( D) %&',%(

12) 9)*+�( − 9',%�( =

A) 1 B) 0 C) 9 D) – 9

13) If the radius of a sphere is 2 cm, then the curved surface area of the sphere is equal to

A) 8. cm2 B) 16 cm

2 C) 12. cm

2 D) 16. cm

2

14) If the variance of a data is 12.25, then the standard deviation is

A) 3.5 B) 3 C) 2.5 D) 3.25

15) If P(A) = 0.25, P(B) = 0.50 and P(A∩B) = 0.14, then P(neither A nor B) =

A) 0.39 B) 0.25 C) 0.11 D) 0.24

Namma Kalviwww.nammakalvi.org


JULY - 2012


1) Let A={5, 6, 7} and B={1, 2, 3, 4, 5}. The range of the function f: A � B is defined by f(x)=x–2

is

A) {1, 4, 5} B) {1, 2, 3, 4, 5} C) {2, 3, 4} D) {3, 4, 5}

2) The sequence −3, −3, −3, … is

A) an A.P only B) a G.P only C) neither an A.P nor a G.P D) an A.P and a G.P

3) a1, a2, a3, . . . are in A.P. Also 5657 = 8

�. Then the 13th

term of an A.P is

A) 8� B) 0 C) 12a D) 14a

4) if 9and :are the roots of a quadratic equation ax2+bx+c=0, then the quadratic equation whose

roots are �; and

�< is

A) ax2+bx+c=0 B) bx

2+ax+c=0 C) cx

2+bx+a=0 D) cx

2+ax+b=0

5) The square root of 121x4y

8z

6(l-m)

2

A) 11x2y

4z

4(l-m) B) 11x

4y

4z

3(l-m) C) 11x

2y

4z

6(l-m)

6 D) 11x

2y

4z

3(l-m)

6) If � = =4 −26 −3? , then �� =

A) =16 436 9? B) = 8 −412 −6? C) =−4 2−6 3? D) =4 −26 −3?

7) The Centroid of the triangle whose vertices (–2, –5), (–2, 12), (10, –1) is

A) (6, 6) B) (4, 4) C) (3, 3) D) (2, 2)

8) The point of intersection of the straight lines y=0 and x = –4 is

A) (0, –4) B) (–4, 0) C) (0, 4) D) (4, 0)

9) AB and CD are two chords of a circle which when produced to meet at a point P such that AB = 5

cm, AP = 8 cm and CD = 2 cm then PD =

A) 12 cm B) 5 cm C) 6 cm D) 4 cm

10) In ∆PQR, RS is the bisector of ∠C . If PQ = 6 cm, QR = 8 cm, RP = 4 cm then PS is equal to

A) 2 cm B) 4 cm C) 3 cm D) 6 cm

P

S 4 cm

Q 8 cm R

11) If x = asec( and y= btan(, then D"5" − E"

F" =

A) *� + H� B) 1 C) *� D) H�

12) A man is 28.5 m away from a tower. His eye level above the ground is 1.5 m. The angle of

elevation of the tower from his eyes is 45o. Then the height of the tower is

A) 30 m B) 27.5 m C) 28.5 m D) 27 m

13) The curved surface area of a right circular cylinder whose radius and height are 1 cm and 1 cm

respectively is

A) . cm2 B) 2. cm

2 C) 3. cm

2 D) 2 cm

2

14) The least value in a collection of data is 14.1. If the range of the collection is 28.4, then the

greatest value of the collection is

A) 42.5 B) 43.5 C) 42.4 D) 42.1

15) Let A and B are any two events. If P(A) = 0.25, P(B) = 0.05 and P(A∩B) = 0.14, then P(AUB) =

A) 0.61 B) 0.16 C) 0.14 D) 0.6

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OCTOBER - 2012

Section - I


1) If f(x) = x2+5 , the f(–4) =

a) 26 b) 21 c) 20 d) –20

2) If 1+2+3+ . . . + n = k , then 13+2

3+3

3+ . . . + n

3 is

A) k2 B) k

3 C)

�(��)� D) (k+1)

3

3) If a, b, c are in A.P, then 5�FF�$ =

A) 5F B) F$ C)

5$ D) 1

4) If � ∈ J , then the L.C.M of ak, a

k+3, a

k+5 is

A) ak+9

B) ak C) a

k+6 D) a

k+5

5) The remainder when x2 – 2x+7 is divided by x+4 is

A) 28 B) 29 Cc) 30 D) 31

6) If the order of matrix A is 3 x 4 and the order of matrix B is 4 x 3, the order of matrix BA is

A) 3 x 3 B) 4 x 4 C) 4 x 3 D) not defined


A) (0, –4) B) (–4, 0) C) (0, 4) D) (4, 0)

8) The equation of the straight lien passing through (2, –7) and also parallel to x-axis is

A) x = 2 B) x = – 7 C) y = – 7 D) y = 2

9) In a right angled triangle ∆ABC, ∠� = 90� and �� ⊥ ��. If BD = 8 cm£, AD = 4 cm, then CD =

A) 24 cm B) 16 cm C) 32 cm D) 8 cm

10) If the ratio of the sides of two similar triangles is 2 : 3, then the ratio of the areas of that triangles

is

A) 9 : 4 B) 4 : 9 C) 2 : 3 D) 3 : 2

11) 9)*+�( − 9',%�( =

a) A) 1 B) 0 C) 9 D) – 9



A) 30 m B) 27.5 m C) 28.5 m D) 27 m

13) The volume of the right circular cone whose height and base area are 5 cm and 48 sq.cm

respectively is

A) 240 cm3 B) 120 cm

3 C) 80 cm

3 D) 480 cm

3

14) Standard deviation of a collection of data is 2√2. If each value is multiplied by 3, then the

standard deviation of the new data is

A) √12 B) 4√2 C) 6√2 D) 9√2

15) Let A and B be two events. If P(A) = 0.25, P(B) = 0.05 and P(A∩B) = 0.14, then P(AUB) =

A) 0.61 B) 0.16 C) 0.14 D) 0.6


MARCH - 2013

Section - I


1) If n[P(A)] = 64, then n(A) is

a) 6 b) 8 c) 4 d) 5

2) If a, b, c are in G.P, then 5�FF�$ =

a) 5F B) F5 C)

5$ D)

$F

3) The next term of �

�L in the sequence �� , �

M , �� , �

�L , … is

a) �

�N b) �

�� c) �

8L d) �

�

4) The square root of 49(O� − 2OP + P�)� is

a) 7 |x – y | B) 7 |(x+y)(x – y) | C) 7|O + P|� D) 7|O − P|�

5) The remainder when x2 – 2x+7 is divided nby x+4 is

a) 28 b) 29 c) 30 d) 31

6) If � = =7 21 3? and +� = =−1 02 −4? , then matrix B = ?

a) =1 00 1? b) =6 23 −1? c) =−8 −21 −7? d) = 8 2−1 7?

7) Area of the triangle formed by the points (0, 0), (2, 0), (0, 2) is

a) 1 Sq. Units B) 2 Sq. Units C) 4 Sq. Units D) 8 Sq. Units

8) If a straight line y = 2x + k passes through the point (1,2), then the value of k is equal to

a) 0 b) 4 c) 5 d) – 3

9) In the figure, PA and PB are tangents to the circle drawn from an external point P. Also, CD is a

tangent to the circle at Q. If PA = 8 cm and CQ = 3 cm then PC is equal to

A D

a) 11 cm b) 5 cm Q P

c) 24 cm d) 38 cm

B C

10) If the sides of two similar triangles are in the ratio 2:3, then their areas are in the ratio

a) 9 : 4 B) 4 : 9 C) 2 : 3 D) 3 : 2 C

11) In the adjoining figure, ∠�� =

100√3 S

b) 45o b) 30

o c) 60

o d) 50

o A 100 m B

12) (1 + )*+�() 'T+�( =

a) 'T+�( B) %&'�( C) )*+�( D) %&)�(

13) The total surface area of a solid hemisphere of diameter 2 cm is equal to

a) 12 cm2 B) 12. %S2

C) 4. %S2 D) 3. cm

2

14) Variance of the first 11 natural numbers is

a) √5 b) √10 c) 5√2 d) 10

15) A card is drawn from a pack of 52 cards at random. The probability of getting neither an ace nor

a king card is ��8 b)

��8 c)

N�8 d)

�8


JULY - 2013

Section - I


1) Which one of the following is not true ?

b) A\B = A∩ �′ b) A\B = � ∩ � c) A\B = (AUB) ∩ � d) A\B = (AUB)\B

2) If a1, a2, a3, . . are in A.P. such that 5657 = 8

� , then the 13th

term of the A.P is

a) 8� B) 0 C) 12a1 D) 14a1

3) If the product of first four consecutive terms of a G.P is 256 and ifn the common ratio is 4 and the

first term is positive, then the 3rd

term is

b) 8 B) �

�M C) �

8� D) 16

4) On dividing D"��

D�8 by D��

D"�V is equal to

a) (x–5)(x–3) B) (x–5)(x+3) C) (x+5)(x–3) D) (x+5)(x+3)

5) If 9 and : are the roots of *O� + HO + % = 0, * ≠ 0 then the wrong statement is

a) 9� + :� = F"�N5$5" B) 9: = $

5 C) 9 + : = $5 D)

�; + �

< = − F$

6) Which one of the following statement is not true ?

A) A scalar matrix is a square matrix B) A diagonal matrix is a square matrix

C) A scalar matrix is a diagonal matrix D) A diagonal matrix is a scalar matrix

7) The slope of the straight line 7y – 2x = 11 is equal to

a) �X� B)

X� C)

�X D)

��X

8) If a straight line y = 2x + k passes through the point (1, 2), then the value of k is equal to

b) 0 B) 4 C) 5 D) –3

9) In triangles �� and �YZ, ∠� = ∠Y and ∠� = ∠Z, then

a) [\]^ = _[

^` B) \_^` = [\

`] C) [\]^ = \_

^` D) _[`] = [\

^`

10) The area of two similar triangles are 16 cm2 and 36cm

2 respectively. If the altitude of the first

triangle is 3 cm, then the corresponding altitude of the other triangle is

a) 6.5 cm B) 6 cm C) 4 cm D) 4.5 cm

11) If x = asec(, y= btan( , then the value of D"5" − E"

F" =

A) *� + H� B) 1 C) *� D) H�

12) sin(90 − () %&'( + cos(90 − () 'T+( =

a) 1 b) 0 c) 2 d) – 1

13) Base area of a right circular cylinder is 80 cm2. If its height is 5 cm, then the volume is equal to

a) 400 cm3 b) 16 cm

3 c) 200 cm

3 d)

NLL8 cm

3

14) Mean and standard deviation of a data are 48 and 12 respectively. The coefficient of variation is

a) 42 b) 25 c) 28 d) 48

15) The probability that a non-leap year will have 53 Sundays and 53 Mondays is

a) �X b)

�X c)

8X d) 0


OCTOBER - 2013

Section - I


1) If f : A � B is a bijective function and n(A) = 5, then, n(B) =

A) 10 B) 4 C) 5 D) 25

2) If a, b, c, l, m, n are in A.P., thenthe sequence 3a+7, 3b+7, 3c+7, 3l+7, 3m+7, 3n+7 are in

A) a geometric sequence B) an arithmetic sequence

C) a constant sequence D) neither A.P nor G.P

3) In a geometric progression )� = 8� and )8 = �

�, the common ratio of this progression is

A) �� B)

�8 C) 1 D) 5

4) If � ∈ J , the L.C.M of ak, a

k+3, a

k+5 is

A) ak+9

B) ak C) a

k+6 D) a

k+5

5) If 9 and : are the roots of a quadratic equation ax2+bx+c=0, then the quadratic equation having

roots �; and

�< is

A) ax2+bx+c=0 B) bx

2+ax+c=0 C) cx

2+bx+a=0 D) cx

2+ax+b=0

6) If � O =1 10 2? = ( 1 2 ) , the order of A is

A) 2x1 B) 2x2 C) 1x2 D) 3x2

7) If the slope of the straight line joining the points (3, –2) and (–1, a) is − 8� , then the value of ‘a’ is

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


A) (0, –4) B) (–4, 0) C) (0, 4) D) (4, 0)

9) If the ratio of the sides of two similar triangles is 2 : 3, then the ratio of its areas is

A) 9 : 4 B) 4 : 9 C) 2 : 3 D) 3 : 2

10) If the tangents PA and PB from an external point P to circle with centre O are inclined to each

other at an angle of 40o, then ∠POA=

A) 70o

B) 80o C) 50

o D) 60

o

11) (1 − %&'�() (1 + %&)�() =

A) 'T+�( B) 0 C) 1 D) )*+�(

12) (1 − %&)�()(1 + %&'()(1 + %&'() =

A) )*+�( − ',%�( B) 'T+�( − %&'�( C) ',%�( − )*+�( D) %&'�( − 'T+�(

13) Two cones having same radii. Also the ratio of their slant heights is 4 : 3. The ratio of their curved

surface areas is

A) 16 : 9 B) 8 : 6 C) 4 : 3 D) 3 : 4

14) The greatest value of a collection of data is 72 and the least value is 28. Then the coefficient of

range is

A) 44 B) 0.72 C) 0.44 D) 0.28

15) Two dice are thrown at a time. The probability of an event both dices showing the same number

is

A) �

8M B) �8 C)

�M D)

�8


MARCH - 2014

Section - I


1) If {(7,11), (5, 1)}represents a constant function, then the value of ‘a’ is

A) 7 B) 11 C) 5 D) 9

2) If a, b, c are in A.P, then 5�FF�$ =

A) 5F B)

F$ C)

5$ D) 1

3) If the +fg term of an A.P is )! = 3 − 5+, then the sum of the first n terms is

A) !� (1 − 5+) B) +(1 − 5+) C)

!� (1 + 5+) D)

!� (1 + +)

4) If O� + 5�O + 16 = 0 has no real roots, then

A) � > 8 B) � > − � C) −

� < � < � D) 0 < � <

�

5) The system of equations x – 4y = 8, 3x – 12y = 24

A) has infinitely many solutions B) has no solution

C) has a unique solution D) may or may not have a solution

6) If A is of order 3x4 and B is of order 4x3, then the order of BA is

A) 3x3 B) 4x4 C) 4x3 D) not defined

7) The x and y intercepts of the line 2x – 3y + 6 = 0, respectively are

A) 2, 3 B) 3, 2 C) – 3, 2 D) 3, –2

8) Area of the triangle formed by the points (0, 0), (2, 0) and (0, 2) is

A) 1 Sq.units B) 2 Sq.units C) 4 Sq.units D) 8 Sq.units

9) In the figure, if ∠h�� = 120�, then ∠�hi =

B

C

A

P T

A) 120� B) 30� C) 40� D) 60�

10) The perimeter of two similar triangles ∆�� and ∆�YZ are 36 cm and 24 cm respectively. If

DE = 10 cm, then AB is

A) 12 cm B) 20 cm C) 15 cm D) 18 cm

11) sin(90� − () %&'( + cos(90� − () 'T+( = A) 1 B) 0 C) 2 D) – 1

12) 9)*+�( − 9',%�( = A) 1 B) 0 C) 9 D) – 9

13) Curved surface area of solid sphere is 24 %S�. If the sphere is divided into two hemispheres,

then the total surface area of one of the hemispheres is

A) 12 %S� B) 8 %S� C) 16 %S� D) 18 %S�

14) For any collection of n items, ∑(O − O̅) =

A) ∑ O B) O̅ C) nO̅ D) 0

15) Probability of sure event is

A) 1 B) 0 C) 100 D) 0.1

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JULY - 2014


1) If A = {p, q, r, s}, B = {r, s, t, u}, then A\B is

A) {p, q} B) {t, u} C) {r, s} D) {p, q, r, s}

2) The 8th

term of the sequence 1, 1, 2, 3, 5, 8, … is

A) 25 B) 24 C) 23 D) 21

3) If a, b, c are in G.P, then 5�FF�$ is equal to

A) 5F B)

F5 C)

5$ D)

$F

4) The LCM of ak, a

k+3, a

k+5 , where � ∈ J is

A) ak+9

B) ak C) a

k+6 D) a

k+5


A) 7 |x – y | B) 7 |(x+y)(x – y) | C) 7|O + P|� D) 7|O − P|�

6) If � O =1 10 2? = ( 1 2 ), then the order of A is

A) 2x1 B) 2x2 C) 1x2 D) 3x2

7) The midpoint of the line joining (a, –b) and (3a, 5b) is

A) (– a, 2b) B) (2a, 4b) C) (2a, 2b) D) (–a, –3b)


A) 1 sq.units B) 2 sq.units C) 4 sq.units D) 8 sq.units

9) AB and CD are two chords of a circle which when produced to meet at a point P such that AB

= 5 cm, AP = 8 cm and CD = 2 cm then PD =

A) 12 cm B) 5 cm C) 6 cm D) 4 cm

10) The perimeters of two similar triangles are 24 cm and 18 cm respectively. If one side of the

first triangle is 8 cm, then the corresponding side of the other triangle is

A) 4 cm B) 3 cm C) 9 cm D) 6 cm

11) ( %&'�( − 1)(%&)�( + 1) + 1 =

A) 1 B) – 1 C) 2 D) 0

12) sin(90 − () %&'( + cos(90 − () 'T+( =

A) 1 B) 0 C) 2 D) –1

13) If the surface area of a sphere is 36. cm2 , then the volume of the sphere is equal to

A) 12. cm3 B) 36. cm

3 C) 72. cm

3 D) 108. cm

3

14) If the standard deviation of a set of data is 1.6, then the variance is

A) 0.4 B) 2.56 C) 1.96 D) 0.04


A) 1 B) 0 C) 100 D) 0.1


OCTOBER - 2014


1) If n(A)=20, n(B)=30 and n(AUB)=40, then +(� ∩ �) is equal to

A) 50 B) 10 C) 40 D) 70


�, then the 13th

term of the A.P is

A) 8� B) 0 C) 12a D) 14a

3) If the third term of a G.P is 2, then the product of first 5 terms is

A) 5� B) 2� C) 10 D) 15

4) The sum of two zeros of the polynomial f(x) = 2x2 + (p+3)x + 5 is zero, then the value of p is

A) 3 B) 4 C) –3 D) –4

5) The GCD of O� − 2OP + P� and ON − PN is

A) 1 B) x+y C) x – y D) O� − P�

6) If � = =4 −26 −3?, then �� is

A) =16 436 9? B) = 8 −412 −6? C) =−4 2−6 3? D) =4 −26 −3?

7) The straight line 4x + 3y – 12 = 0 intersects the y-axis at

A) (3, 0) B) (0, 4) C) (3, 4) D) (0, –4)

8) The equation of a straight line having slope 3 and y-intercept – 4 is

A) 3x – y – 4 = 0 B) 3x + y – 4 = 0 C) 3x – y + 4 = 0 D) 3x + y + 4 = 0

9) In figure, if [\[_ = \_

]_, ∠� = 40� and ∠� = 60�, then ∠�� =

A) 30� B) 50� C) 80� D) 40�

A

40� 60�

B D C

10) ∆ABC is a right angled triangle where ∠� = 90� and �� ⊥ ��. If BD = 8 cm, AD = 4 cm,

then CD is

A) 24 cm B) 16 cm C) 32 cm D) 8 cm

11) �l$#

$�f#�f5!# =

A) %&)( B) )*+( C) 'T+( D) = %&)(



A) 30 m B) 27.5 m C) 28.5 m D) 27 m

13) Base area of a right circular cylinder is 80 cm2. If its height is 5 cm, then the volume is equal

to

A) 400 cm3 B) 16 cm

3 C) 200 cm

3 D)

NLL8 cm

3

14) Mean and standard deviation of a data are 48 and 12 respectively. The coefficient of variation

is

A) 42 B) 25 C) 28 D) 48

15) The probability that a leap year will have 53 Fridays or 53 Saturdays ?

A) �X B)

�X C)

NX D)

8X


MARCH - 2015

Section - I


1) If f : A � B is a bijective function and if n(A) = 5, then n(B) is equal to

A) 10 B) 4 C) 5 D) 25

2) The next term of �

�L in the sequence �� , �

M , �� , �

�L , … is

A) �

�N B) �

�� C) �

8L D) �

�

3) The common ratio of the G.P am – n

, am

, am+n

is

A) am

B) a–m

C) an D) a

–n

4) The remainder when x2 – 2x + 7 is divided by x+4 is

A) 28 B) 29 C) 30 D) 31

5) Let = * + % . Then the equation *O� + HO + % = 0 has equal roots, if

A) a = c B) a = – c C) a = 2c D) a = – 2c

6) If m3O + 7 5P + 1 2 − 3On = =1 P − 28 8 ?, then the values of x and y respectively are

A) – 2, 7 B) ��8 , 7 C) ��

8 , ��8 D) 2, –7

7) The centroid of the triangle with vertices at (–2, –5), (–2, 12) and (10, –1) is

A) (6, 6) B) (4, 4) C) (3, 3) D) (2, 2)

8) The value of k if the straight lines 3x + 6y + 7 = 0 and 2x + ky = 5 are perpendicular is

A) 1 B) – 1 C) 2 D) ��

9) The sides of two similar triangles are in the ratio 2:3, then their areas are in the ratio

A) 9 : 4 B) 4 : 9 C) 2 : 3 D) 3 : 2

10) If the tangents PA and PB from an external point P to circle with centre O are inclined to each

other at an angle of 40o, then ∠POA=

A) 70o

B) 80o C) 50

o D) 60

o


F" =

A) 1 B) –1 C) )*+�( D) %&',%�(

12) ( %&'�( − 1)(%&)�( + 1) + 1 =

A) 1 B) – 1 C) 2 D) 0

13) The ratios of the respective heights and the respective radii of two cylinders are 1:2 and 2:1

respectively. Then their respective volumes are in the ratio

A) 4 : 1 B) 1 : 4 C) 2 : 1 D) 1 : 2

14) The variance of 10, 10, 10, 10, 10 is

A) 10 B) √10 C) 5 D) 0

15) Probability of getting 3 heads or 3 tails in tossing a coin 3 times is

A) � B)

�N C)

8 D)

��


JULY - 2015

Section - I


1) If f(x) = x2+5, then f(–4) =

A) 26 B) 21 C) 20 D) –20

2) If 1+2+3+ . . . + n = k, then 13+2

3+3

3+ . . . + n

3 is equal to

A) k2 B)) k

3 C)

�(��)� D) (k+1)

3

3) If the nth

term of a sequence is100n + 10, then the sequence is

A) an A.P B) a G.P C) a constant sequence D) neither A.P

nor G.P


A) 28 B) 29 C) 30 D) 31


A) a = c B) a = – c C) a = 2c D) a = – 2c

6) If (5 O 1) o 2−13 p = ( 20 ), then the value of x is

A) 7 B) – 7 C) �X D) 0

7) The straight line 4x + 3y – 12 = 0 intersects the y-axis at

A) (3, 0) B) (0, 4) C) (3, 4) D) (0, –4)

8) The value of k if the straight lines 3x + 6y + 7 = 0 and 2x + ky = 5 are perpendicular is

A) 1 B) – 1 C) 2 D) ��

9) ∆ABC is a right angled triangle where ∠� = 90� and �� ⊥ ��. If BD = 8 cm, AD = 4 cm,

then CD is

A) 24 cm B) 16 cm C) 32 cm D) 8 cm

10) Triangles ABC and DEF are similar. If their areas are 100 cm2

and 49 cm2 respectively and

BC = 8.2 cm then EF =

A) 5.47 cm B) 5.74 cm C) 6.47 cm D) 6.74 cm

11) If )*+( = 5D , then the value of

D√5"�D" =

A) %&'( B) 'T+( C) %&',%( D) ',%(

12) ( %&'�( − 1)(%&)�( + 1) + 1 =\

A) 1 B) – 1 C) 2 D) 0

13) The total surface area of a solid right circular cylinder whose radius is half of its height h is

equal to

A) A) 8� .ℎ sq. units B)

�8 .ℎ� sq. units C)

8� .ℎ� sq. units D)

�8 .ℎsq. units

14) For any collection of n terms, (∑ O) − O̅ =

A) +O̅ B) (+ − 2)O̅ C) (+ − 1)O̅ D) 0


A) �X B)

�X C)

8X D) 0


OCTOBER - 2015

Section - I


1) If f = {(6,3), (8,9), (5,3), (–1,6)}, then the pre-images of 3 are



�, then the 13th

term of the A.P is

A) 8� B) 0 C) 12a D) 14a

3) The sequence −3, −3, −3, … is

A) an A.P only B) a G.P only C) neither A.P nor G.P D) both A.P and G.P

4) A system of two linear equations in two variables is inconsistent, if their graphs

A) coincide B) intersect only at a point

C) do not intersect at any point D) cut the x-axis

5) The LCM of ak, a

k+3, a


A) ak+9

B) ak C) a

k+6 D) a

k+5

6) If a matrix is or order 2x3, then the number of elements in the matrix is

A) 5 B) 6 C) 2 D) 3

7) The equation of a straight line passing through the point (2, –7) and parallel to x-axis is

A) x = 2 B) x = – 7 C) y = – 7 D) y = 2


A) 0 B) 4 C) 5 D) –3

9) ∆ABC is a right angled triangle where ∠� = 90� and �� ⊥ ��. If BD = 8 cm, AD = 4 cm, then

CD is

A) 24 cm B) 16 cm C) 32 cm D) 8 cm

10) The areas of two similar triangles are 16 cm2, 36 cm



A) 6.5 cm B) 6 cm C) 4 cm D) 4.5 cm

11) (1 − 'T+�() ',%�( =

A) 0 B) 1 C) tan2( D) cos

2(

C


A) 45o B) 30

o C) 60

o D) 50

o

100√3 m

A 100 m

B

13) If the radius of a sphere is half of the radius of another sphere, then their respective volumes are

in the ratio

A) 1 : 8 B) 2 : 1 C) 1 : 2 D) 8 : 1

14) The variance of 10, 10, 10, 10, 10 is

A) 10 B) √10 C) 5 D) 0

15) If ∅ is an impossible event, then h(∅) =

A) 1 B) �N C) 0 D)

��


MARCH-2016

Section - I


1) If A = {p, q, r, s}, B = {r, s, t, u}, then A\B is

A) {p, q} B) {t, u} C) {r, s} D) {p, q, r, s}

2) The 8th

term of the sequence 1, 1, 2, 3, 5, 8, … is

A) 25 B) 24 C) 23 D) 21

3) If 1+2+3+ . . . + n = k, then 13+2

3+3

3+ . . . + n

3 is equal to

A) k2 B)) k

3 C)

�(��)� D) (k+1)

3

4) The system of equations x – 4y = 8, 3x – 12y = 24

A) has infinitely many solutions B) has no solution

C) has a unique solution D) may or may not have a solution

5) If *O� + HO + % = 0 has equal roots, then c is equal to

A) F"�5 B)

F"N5 C) − F"

�5 D) − F"N5

6) If � = =4 −26 −3?, then �� is

A) =16 436 9? B) = 8 −412 −6? C) =−4 2−6 3? D) =4 −26 −3?

7) The equation of a straight line parallel to y-axis and passing through the point (–2, 5) is

A) x – 2 = 0 B) x + 2 = 0 C) y + 5 = 0 D) y – 5 = 0

8) The equation of a straight line having slope 3 and y-intercept – 4 is

A) 3x – y – 4 = 0 B) 3x + y – 4 = 0 C) 3x – y + 4 = 0 D) 3x + y + 4 = 0

9) In a∆��, DE || BC, meeting AB and AC at D and E. If AD=3 cm, DB=2 cm and AE=2.7 cm,

then AC is equal to

A) 6.5 cm B) 4.5 cm C) 3.5 cm D) 5.5 cm

10) AB and CD are two chords of a circle which when produced to meet at a point P such that AB = 5

cm, AP = 8 cm and CD = 2 cm then PD =

C

A) 12 cm B) 5 cm C) 6 cm D) 4 cm

11) (1 + )*+�() 'T+�( =

A) 'T+�( B) %&'�( C) )*+�( D) %&)�( 85 m

12) In the adjoining figure, = ��X . Then BC =

A) 85 m B) 65 m C) 95 m D) 75 m ( 13) The total surface area of a solid hemisphere of diameter 2 cm is equal to A

B

A) 12 cm2 B) 12. cm

2 C) 4. cm

2 D) 3. cm

2

14) If t is the standard deviation of x, y , z, then the standard deviation of x+5, y+5, z+5 is

A) f8 B) t+5 C) t D) xyz

15) A bag contains 5 black balls, 4 white balls an d 3 red balls. If a ball is selected at random, the

probability that it is not red is

A) �

�� B) N

�� C) 8

�� D) 8N

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JULY - 2016

Section - I


1) If f(x) = x2+5, then f(–4) =

A) 26 B) 21 C) 20 D) –20


A) 5F B)

F5 C)

5$ D)

$F

3) If a, b, c, l, m are in A.P, then the value of a – 4b + 6c – 4l + m is

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

4) If the system 6x – 2y = 3, kx – y = 2 has a unique solution, then

A) � = 3 B) � ≠ 3 C) � = 4 D) � ≠ 4


A) 7 |x – y | B) 7 |(x+y)(x – y) | C) 7|O + P|� D) 7|O − P|�


A) 7 B) – 7 C) �X D) 0

7) The centre of a circle is (–6, 4). If one end of the diameter of the circle is at (–12, 8), then the

other end is at

A) (–18, 12) B) (–9, 6) C) (–3, 2) D) (0, 0)



9) In ∆PQR, RS is the bisector of ∠C . If PQ = 6 cm, QR = 8 cm, RP = 4 cm then PS is equal to

A) 2 cm B) 4 cm C) 3 cm D) 6 cm


CD is

A) 24 cm B) 16 cm C) 32 cm D) 8 cm

11) ( %&'�( − 1)(%&)�( + 1) + 1 =

A) 1 B) – 1 C) 2 D) 0

12) If )*+( = 5D , then the value of

D√5"�D" =

A) %&'( B) 'T+( C) %&',%( D) ',%(

13) Curved surface area of solid sphere is 24 cm2. If the sphere is divided into two hemispheres, then

the total surface area of one of the hemispheres is

A) 12 cm2 B) 8 cm

2 C) 16 cm

2 D) 18 cm

2

14) If the standard deviation of a set of data is 1.6, then the variance is

0.4 B) 2.56 C) 1.96 D) 0.04


A) 1 B) 0 C) 100 D) 0.1


OCTOBER - 2016

Section - I


1) A For any two sets A and B, { (A\B) U (B\A) } ∩ (A∩B) is

A) ∅ B) AUB C) � ∩ � D) �′ ∩ �′ 2) The 8

th term of the sequence 1, 1, 2, 3, 5, 8, … is

A) 25 B) 24 C) 23 D) 21


A) 5� B) 2� C) 10 D) 15

4) The sum of two zeros of the polynomial f(x) = 2x2 + (p+3)x + 5 is zero, then the value of p is

A) 3 B) 4 C) –3 D) –4


A) F"�5 B)

F"N5 C) − F"

�5 D) − F"N5


A) 7 B) – 7 C) �X D) 0

7) Area of the quadrilateral formed by the points (1, 1), (0, 1), (0, 0) and (1, 0) is


8) The equation of a straight line passing through the point (2, –7) and parallel to x-axis is

A) x = 2 B) x = – 7 C) y = – 7 D) y = 2

9) In the figure, if ∠h�� = 120� then ∠�hi = C B

A) 120� B) 30� C) 40� D) 60�

10) The perimeters of two similar triangles are 24 cm and 18 cm respectively.

If one sidce of the first triangle is 8 cm, then the corresponding side

of the other triangle is

A) 4 cm B) 3 cm C) 9 cm D) 6 cm

11) In the adjoining figure, AC = P T

A) 25 m B) 25√3 m C) ��√8 m D) 25√2 m C

12) (1 − %&'�() (1 + %&)�() =

A) 'T+�( B) 0 C) 1 D) )*+�(

13) If the volume of a sphere is V

�M . cu.cm, then its radius is 60o

A) N8 cm B)

8N cm C)

8� cm D)

�8 cm A 25 m B

14) If t is the standard deviation of x, y , z, then the standard deviation of x+5, y+5, z+5 is

A) f8 B) t+5 C) t D) xyz

15) If p is the probability of an event A, then p satisfies

A) 0 < s < 1 B)0 ≤ s ≤ 1 C) 0 ≤ s < 1 D) 0 < s ≤ 1


MARCH - 2017

Section - I


1) If f(x) = x2+5, then f(–4) =

A) 26 B) 21 C) 20 D) –20

2) If k+2, 4k – 6, 3k – 2 are the three consecutive terms of an A.P, then the value of k is

A) 2 B) 3 C) 4 D) 5

3) If the product of the first four consecutive terms of a G.P is 256 and if the common ratio is 4 and

the first term is positive, then its 3rd

term is

A) 8 B) �

�M C) �

8� D) 16


A) 28 B) 29 C) 30 D) 31

5) The common root of the equations O� − HO + % = 0 and O� + HO − * = 0 is

A) $�5�F B)

$�5�F C)

$�F�5 D)

5�F�$

6) If � = =7 21 3? and � + � = =−1 02 −4?, then the matrix B is

A) =1 00 1? B) =6 23 −1? C) =−8 −21 −7? D) = 8 2−1 7?

7) Slope of the straight line which is perpendicular to the straight line joining the points (–2, 6) and

(4, 8) is equal to

A) �8 B) 3 C) –3 D) − �

8

8) If the points (2, 5), (4, 6) and (a, a) are collinear, then the value of ‘a’ is equal to

A) – 8 B) 4 C) – 4 D) 8

9) The perimeters of two similar triangles are 24 cm and 18 cm respectively. If one sidce of the first

triangle is 8 cm, then the corresponding side of the other triangle is

A) 4 cm B) 3 cm C) 9 cm D) 6 cm


CD is

A) 24 cm B) 16 cm C) 32 cm D) 8 cm


A) 45o B) 30

o C) 60

o D) 50

o

12) 9)*+�( − 9',%�( = A) 1 B) 0 C) 9 D) –9

13) If the surface area of a sphere is 100. cm2 , then its radius is equal to

A) 25 cm B) 100 cm C) 5 cm D) 10 cm



A) √12 B) 4√2 C) 6√2 D) 9√2

15) A card is drawn from a pack of 52 cards at random. The probability of getting neither an ace nor

a king card is

A) �

�8 B) ��8 C)

N�8 D)

�8


JULY-2017

Section - I


1) If f = {(6,3), (8,9), (5,3), (–1,6)}, then the pre-images of 3 are



�, then the 13th

term of the A.P is

A) 8� B) 0 C) 12a D) 14a

3) If the product of the first four consecutive terms of a G.P is 256 and if the common ratio is 4 and

the first term is positive, then its 3rd

term is

A) 8 B) �

�M C) �

8� D) 16


A) 28 B) 29 C) 30 D) 31


A) a = c B) a = – c C) a = 2c D) a = – 2c

6) =−1 00 1? =* H% u? = =1 00 −1?, then the values of a, b, c and d respectively are

A) –1, 0, 0, –1 B) 1, 0, 0, 1 C) –1, 0, 1, D) 1, 0, 0, 0


(4, 8) is equal to

A) �8 B) 3 C) –3 D) − �

8


A) 0 B) 4 C) 5 D) –3

9) In figure, if [\[_ = \_

]_, ∠� = 40� and ∠� = 60�, then ∠�� =

B) 30� B) 50� C) 80� D) 40�

A

40� 60�

B D C




A) 6.5 cm B) 6 cm C) 4 cm D) 4.5 cm


F" =

A) *� + H� B) 1 C) *� D) H�

12) ( %&'�( − 1)(%&)�( + 1) + 1 =

A) 1 B) – 1 C) 2 D) 0


A) 25 cm B) 100 cm C) 5 cm D) 10 cm

14) Variance of the first 11 natural numbers is

A) √5 B) √10 C) 5√2 D) 10


A) �X B)

�X C)

8X D) 0


OCTOBER-2017

Section - I


1) For any two sets P and Q, h ∩ v is

A) {x : x∈ h or x∈ v} B) {x : x∈ h and x∉ v}

C) {x : x∈ h and x∈ v} D) {x : x∉ h and x∈ v}

2) If a, b, c are in A.P, then 5�FF�$ is equal to

A) 5F B)

F$ C)

5$ D) 1

3) If 1+2+3+ . . . + n = k, then 13+2

3+3

3+ . . . + n

3 is equal to

A) k2 B)) k

3 C)

�(��)� D) (k+1)

3

4) The LCM of ak, a

k+3, a


ak+9

B) ak C) a

k+6 D) a

k+5


A) F"�5 B)

F"N5 C) − F"

�5 D) − F"N5

6) If A is of order 3x4 and B is of order 4x3, then the order of BA is

A) 3 x 3 B) 4 x 4 C) 4 x 3 d) not defined

7) The angle of inclination of a straight line parallel to x-axis is equal to

A) 0o B) 60

o C) 45

o D) 90

o


A) (0, –4) B) (–4, 0) C) (0, 4) D) (4, 0)

9) The sides of two similar triangles are in the ratio 2:3, then their areas are in the ratio

A) 9 : 4 B) 4 : 9 C) 2 : 3 D) 3 : 2

10) In the figure, if ∠h�� = 120� then ∠�hi =

A) 120� B) 30� C) 40� D) 60�

11) (1 − 'T+�() ',%�( =

A) 0 B) 1 C) tan2( D) cos

2(



A) 30 m B) 27.5 m C) 28.5 m D) 27 m


A) 25 cm B) 100 cm C) 5 cm D) 10 cm

14) For a collection of 11 terms, ∑ O = 132 , then the arithmetic mean is

A) 11 B) 12 C) 14 D) 13

15) If p is the probability of an event A, then p satisfies

A) 0 < s < 1 B)0 ≤ s ≤ 1 C) 0 ≤ s < 1 D) 0 < s ≤ 1


MARCH-2018

Section - I


1) An example for a function which is not a relation, (Domain – R, Codomain – R) is :

A) y=x B) y = x-1 C) y = x2 D) not possible


A) 5F B)

F5 C)

5$ D)

$F

3) The next tern of the series √3 , √12 , √27 , . . . is :

A) √39 B) √32 C) √54 D) √48

4) What can be the degree of the remainder atmost, when a fourth degree polynomial is divided by a

quadratic polynomial?

A) 2 B) 0 C) 4 D) 1

5) The LCM of O8 − *8 and (O − *)� is

A) (O8 − *8)(O + *) B) (O8 − *8)(O − *)�

C) (O − *)�(O� + *O + *�) D) (O + *)�(O� + *O + *�)

6) If � = m9 :y −9n is such that �� = z, then

A) 1 + 9� + :y = 0 B) 1 − 9� + :y = 0 C) 1 − 9� − :y = 0 D) 1 + 9� − :y = 0


(4, 8) is equal to

A) �8 B) 3 C) –3 D) − �

8

8) The centre of a circle is (–6, 4). If one end of the diameter of the circle is at (–12, 8), then the

other end is at

A) (–18, 12) B) (–9, 6) C) (–3, 2) D) (0, 0)




A) 6.5 cm B) 6 cm C) 4 cm D) 4.5 cm

10) If a vertical stick 12 m long casts a shadow 8 m long on the ground and at the same time a tower

casts a shadow 40 m long on the ground, then the height of the tower is

A) 40 m B) 50 m C) 75 m D) 60 m

11) (1 + %&)�()(1 − %&'()(1 + %&'() =

A) )*+�( − ',%�( B) 'T+�( − %&'�( C) ',%�( − )*+�( D) %&'�( − 'T+�(

12) A is an acute angle of a ∆ABC, right angled at B, then the value of sinA+cosA is :

A) <1 B) 1 C) 2 D) >1

13) Radius and height of a right circular cone and that of a right circular cylinder are respectively,

equal. If the volume of the cylinder is 120 cm3 , then the volume of the cone is equal to

A) 1200 cm3 B) 360 cm

3 C) 40 cm

3 D) 90 cm

3



A) √12 B) 4√2 C) 6√2 D) 9√2

15) There are 6 defective items in a sample of 20 items. One item is drawn at random. The

probability that it is a non-defective item is

A) X

�L B) 0 C) 8

�L D) �8

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JULY-2018

Section - I


1) If the range of a function is a singleton set, then it is

A) a constant function B) an identity function

C) a bijective function D) an one-one function

2) If k+2, 4k – 6, 3k – 2 are the three consecutive terms of an A.P, then the value of k is

A) 2 B) 3 C) 4 D) 5


A) 5� B) 2� C) 10 D) 15

4) If the system 6x – 2y = 3, kx – y = 2 has a unique solution, then

A) � = 3 B) � ≠ 3 C) � = 4 D) � ≠ 4

5) The LCM of ak, a

k+3, a


A) ak+9

B) ak C) a

k+6 D) a

k+5

6) If � x =1 10 2? = ( 1 2 ), then the order of A is

A) 2x1 B) 2x2 C) 1x2 D) 3x2




A) (0, –4) B) (–4, 0) C) (0, 4) D) (4, 0)

9) In figure, if [\[_ = \_

]_, ∠� = 40� and ∠� = 60�, then ∠�� =

�) 30� B) 50� C) 80� D) 40�

A

40� 60�

B D C

10) A point P is 26 cm away from the centre O of a circle and PT is the tangent drawn from P to the

circle is 10 cm, then OT is equal to

A) 36 cm B) 20 cm C) 18 cm D) 24 cm


A) 45

o B) 30

o C) 60

o D) 50

o

12) ��f5!"#��$�f"# =

A) %&'�( B) )*+�( C) 'T+�( D) %&)�(

13) If the surface area of a sphere is 36. cm2 , then the volume of the sphere is equal to

A) 12. cm3 B) 36. cm

3 C) 72. cm

3 D) 108. cm

3

14) Mean and standard deviation of a data are 48 and 12 respectively. The coefficient of variation is

A) 42 B) 25 C) 28 D) 48

15) The probability that a leap year will have 53 Fridays or 53 Saturdays ?

A) �X B)

�X C)

NX D)

8X


OCTOBER-2018

Section - I


1) For any two sets P and Q, h ∩ v is

A) {x : x∈ h or x∈ v} B) {x : x∈ h and x∉ v}

C) {x : x∈ h and x∈ v} D) {x : x∉ h and x∈ v}


A) 5� B) 2� C) 10 D) 15

3) If 1+2+3+ . . . + n = k, then 13+2

3+3

3+ . . . + n

3 is equal to

A) k2 B)) k

3 C)

�(��)� D) (k+1)

3

4) The GCD of (x3+1) and (x

4 – 1) is

A) x3 – 1 B) x

3 + 1 C) x+1 D) x – 1

5) The square root of 121x4y

8z

6(l-m)

2 is

A) 11x2y

4z

4 |(l-m)| B) 11x

4y

4 |z

3(l-m)| C) 11x

2y

4z

6 |(l-m)| D) 11x

2y

4z

3 |(l-m)|

6) If a matrix is or order 2x3, then the number of elements in the matrix is

A) 5 B) 6 C) 2 D) 3



8) The x and y-intercepts of the line 2x – 3y + 6 = 0, respectively are

A) 2, 3 B) 3, 2 C) –3, 2 D) 3, –2

9) If a straight line intersects the sides AB and AC of a ∆�� at D and E respectively and is

parallel to BC, then [^[_ =

A) []]\ B)

[][\ C)

]^\_ D)

[]^_

10) If a vertical stick 12 m long casts a shadow 8 m long on the ground and at the same time a

tower casts a shadow 40 m long on the ground, then the height of the tower is

A) 40 m B) 50 m C) 75 m D) 60 m

11) (1 − %&'�() (1 + %&)�() =

A) 'T+�( B) 0 C) 1 D) )*+�(


A) 45

o B) 30

o C) 60

o D) 50

o

13) The total surface area of a solid hemisphere whose radius is a units, is equal to

A) 2.*� sq.units B) 3.*� sq.units C) 3.* sq.units D) 3*� sq.units

14) The range of the first 10 prime numbers 2, 3, 5, 7, 11, 13, 17, 19, 23, 29 is

A) 28 B) 26 C) 29 D) 27

15) Probability of getting 3 heads or 3 tails in tossing a coin 3 times is

A) � B)

�N C)

8 D)

��

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