If f(x) = x + 1 then f(f(f(y + 2))) is ___________

(a)

y + 5

(b)

y + 6

(c)

y + 7

(d)

y + 9

If f is constant function of value \(\frac { 1 }{ 10 } \), the value of f(1) + f(2) + ... + f(100) is _________

(a)

\(\frac { 1 }{ 100 } \)

(b)

100

(c)

\(\frac { 1 }{ 10 } \)

(d)

10

The first term of an A.P. whose 8^th and 12^th terms are 39 and 59 respectively is ____________

(a)

5

(b)

6

(c)

4

(d)

3

In an A.P if the p^th term is q and the q^th term is p, then its n^th term is ____________

(a)

p+q-n

(b)

p+q+n

(c)

p-q+n

(d)

p-q-n

Graphically an infinite number of solutions represents ___________

(a)

three planes with no point in common

(b)

three planes intersecting at a single point

(c)

three planes intersecting in a line or coinciding with one another

(d)

None

A Quadratic polynomial whose one zero is 5 and sum of the zeroes is 0 is given by ___________

(a)

x²-25

(b)

x²-5

(c)

x²-5x

(d)

x²-5x+5

If P and Q are matrices, then which of the following is true?

(a)

PQ ≠ QP

(b)

(P^T)^T ≠ P

(c)

P + Q ≠ Q + P

(d)

All are true

In the given figure DE||BC:BD = x - 3, BA = 2x,CE = x- 2, and AC = 2x + 3, Find the value of x.

(a)

3

(b)

6

(c)

9

(d)

12

In figure \(\angle OAB={ 60 }^{ o }\) and OA = 6cm then radius of the circle is ____________

(a)

\(\frac { 3 }{ 2 } \sqrt { 3 } cm\)

(b)

2 cm

(c)

\(3\sqrt { 3 } cm\)

(d)

\(2\sqrt { 3 } cm\)

If the points (0, 0), (a, 0) and (0, b) are collinear, then ____________

(a)

a = b

(b)

a + b

(c)

ab = 0

(d)

a ≠ b

Find the equation of the line passing through the point (0, 4) and is parallel to 3x+5y+15 = 0 the line is ___________

(a)

3x+5y+15 = 0

(b)

3x+5y-20 = 0

(c)

2x+7y-20 = 0

(d)

4x+3y-15 = 0

If cos (∝ - β) =, then sin (∝ - β)  can be reduced to ___________

(a)

cos β

(b)

cos 2β

(c)

sin ∝

(d)

sin 2∝

Sin(45^o+ θ ) - cos(45^o - θ) is equal to ___________

(a)

2cos θ

(b)

0

(c)

2sin θ

(d)

1

9 sec²A  - 9tan²A = ___________

(a)

1

(b)

9

(c)

8

(d)

0

If sin(α + β) = 1 then cos(α - β) can be reduced to ___________

(a)

sin α

(b)

cos β

(c)

sin 2β

(d)

cos 2β

A cylinder 10 cone and have there are of a equal base and have the same height. what is the ratio of there volumes?

(a)

3:1:2

(b)

3:2:1

(c)

1:2:3

(d)

1:3:2

A solid frustum is of height 8 cm. If the radii of its lower and upper ends are 3 cm and 9 cm respectively, then its slant height is ___________

(a)

15 cm

(b)

12 cm

(c)

10 cm

(d)

17 cm

A floating boat having a length 3m and breadth 2m is floating on a lake. The boat sinks by 1 cm when a man gets into it. The mass of the man is (density of water is 10000 kg/m³)

(a)

50 kg

(b)

60 kg

(c)

70 kg

(d)

80 kg

IF the probability of the non-happening of a event is q, then the probability of happening of that event is 

(a)

1-q

(b)

q

(c)

q/2

(d)

∝q

If the data is multiplied by 4, then the corresponding variances is get multiplied by ___________

(a)

4

(b)

16

(c)

2

(d)

None