Let f(x) = x² - x, then f(x- 1) - (x + 1) is ___________

(a)

4x

(b)

2-2x

(c)

2-4x

(d)

4x-2

If \(f(x)=\frac { x+1 }{ x-2 } ,g(x)=\frac { 1+2x }{ x-1 } \) then fog(x) is ___________

(a)

Constant function

(b)

Quadratic function

(c)

Cubic function

(d)

Identify function

44 ≡ 8 (mod12), 113 ≡ 85 (mod 12), thus 44 x 113 ≡______(mod 12):

(a)

4

(b)

3

(c)

2

(d)

1

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

The real roots of the quadratic equation x²-x-1 are ___________

(a)

1, 1

(b)

-1, 1

(c)

\(\frac { 1+\sqrt { 5 } }{ 2 } ,\frac { 1-\sqrt { 5 } }{ 2 } \)

(d)

None

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 a triangle, the internal bisector of an angle bisects the opposite side. Find the nature of the triangle.

(a)

right angle

(b)

equilateral

(c)

scalene

(d)

isosceles

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

The y-intercept of the line 3x - 4y + 8 = 0 is ___________

(a)

\(-\frac { 8 }{ 3 } \)

(b)

\(\frac { 8 }{ 3 } \)

(c)

2

(d)

\(\frac { 1 }{ 2 } \)

Given that sinθ = \(\frac{a}{b}\), then cosθ is equal to ___________

(a)

\(\frac { b }{ \sqrt { { b }^{ 2 }-{ a }^{ 2 } } } \)

(b)

\(\frac { b }{ a } \)

(c)

\(\frac { \sqrt { { b }^{ 2 }-{ a }^{ 2 } } }{ b } \)

(d)

\(\frac { b }{ \sqrt { { b }^{ 2 }-{ a }^{ 2 } } } \)

If cotθ = b/a then value of \(\frac { cos\theta +sin\theta }{ cos\theta -sin\theta } \) a

(a)

\(\frac{b-c}{b+a}\)

(b)

b-a

(c)

b+a

(d)

-\(\frac{b+c}{b-a}\)

The value of \(\cfrac { 3 }{ cot^{ 2 }\theta } -\cfrac { 3 }{ { cos }^{ 2 }\theta } \) is equal to ___________

(a)

\(\frac { 1 }{ 3 } \)

(b)

3

(c)

0

(d)

-3

A ladder of length 14m just reaches the top of a wall. If the ladder makes an angle of 60^o with the horizontal, then the height of the wall is ____________

(a)

\(14\sqrt { 3 } \)

(b)

\(28\sqrt { 3 } \)

(c)

\(7\sqrt { 3 } \)

(d)

\(35\sqrt { 3 } \)

The height of a cone is 60 cm. A small cone is cut off at the top by plane parallel to the base and its volume is \(\left[ \frac { 1 }{ 64 } \right] ^{ th }\) the volume of the original cone. Then the height of the smaller cone is ___________

(a)

45 cm

(b)

30 cm

(c)

15 cm

(d)

20 cm

The material of a cone is converted into the shape of a cylinder of equal radius. If the height of the cylinder is 5 cm, then height of the cone is ___________

(a)

10 cm

(b)

15 cm

(c)

18 cm

(d)

24 cm

A cone of height 9 cm with diameter of its base 18 cm is carved out from a wooden solid sphere of radius 9 cm. The percentage of wood wasted is

(a)

45%

(b)

56%

(c)

67%

(d)

75%

A number x is chosen at random from -4, -3, -2, -1, 0, 1, 2, 3, 4 find the probability that |x| ≤ 4

(a)

0

(b)

1

(c)

\(\frac{1}{2}\)

(d)

\(\frac{1}{9}\)

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

(a)

4

(b)

16

(c)

2

(d)

None

A box contains some milk chocolates and some coco chocolates and there are 60 chocolates in the box. If the probability of taking a milk chocolate is \(\frac { 2 }{ 3 } \) then the number of coco chocolates is ___________

(a)

40

(b)

50

(c)

20

(d)

30