If f: A ⟶ B is a bijective function and if n(B) = 7, then n(A) is equal to

(a)

7

(b)

49

(c)

1

(d)

14

Let f and g be two functions given by
f = {(0,1), (2,0), (3,-4), (4,2), (5,7)}
g = {(0,2), (1,0), (2,4), (-4,2), (7,0)} then the  range of f o g is

(a)

{0,2,3,4,5}

(b)

{–4,1,0,2,7}

(c)

{1,2,3,4,5}

(d)

{0,1,2}

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

(a)

y + 5

(b)

y + 6

(c)

y + 7

(d)

y + 9

In an A.P., the first term is 1 and the common difference is 4. How many terms of the A.P. must be taken for their sum to be equal to 120?

(a)

6

(b)

7

(c)

8

(d)

9

If A = 2⁶⁵ and B = 2⁶⁴ + 2⁶³ + 2⁶² +...+ 2⁰ Which of the following is true?

(a)

B is 2⁶⁴ more than A

(b)

A and B are equal

(c)

B is larger than A by 1

(d)

A is larger than B by 1

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

(a)

4

(b)

3

(c)

2

(d)

1

If the roots of the equation q²x² + p²x + r² = 0 are the squares of the roots of the equation qx² + px + r = 0, then q, p, r are in __________.

(a)

A.P

(b)

G.P

(c)

Both A.P and G.P

(d)

none of these

Graph of a linear equation is a ____________

(a)

straight line

(b)

circle

(c)

parabola

(d)

hyperbola

For what set of values \(\frac { { x }^{ 2 }+5x+6 }{ { x }^{ 2 }+8x+15 } \) is underfined ___________

(a)

-3, -5

(b)

-5

(c)

-2, -3, -5

(d)

-2, -3

A tangent is perpendicular to the radius at the

(a)

centre

(b)

point of contact

(c)

infinity

(d)

chord

How many tangents can be drawn to the circle from an exterior point?

(a)

one

(b)

two

(c)

infinite

(d)

zero

If ABC is a triangle and AD bisects A, AB = 4cm, BD = 6cm, DC = 8cm then the value of AC is ____________

(a)

\(\frac { 16 }{ 3 } cm\)

(b)

\(\frac { 32 }{ 3 } cm\)

(c)

\(\frac { 3 }{ 16 } cm\)

(d)

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

Consider four straight lines
(i) l₁ : 3y = 4x + 5
(ii) l₂ : 4y = 3x - 1
(iii) l₃ : 4y + 3x =7
(iv) l₄ : 4x + 3y = 2
Which of the following statement is true?

(a)

l₁ and l₂ are perpendicular

(b)

l₁ and l₄ are parallel

(c)

l₂ and l₄ are perpendicular

(d)

l₂ and l₃ are parallel

A straight line has equation 8y = 4x + 21. Which of the following is true

(a)

The slope is 0.5 and the y intercept is 2.6

(b)

The slope is 5 and the y intercept is 1.6

(c)

The slope is 0.5 and the y intercept is 1.6

(d)

The slope is 5 and the y intercept is 2.6

Find the equation of the line passing the point which is parrallel to the y axis (5, 3) is ____________

(a)

y = 5

(b)

y = 3

(c)

x = 5

(d)

x = 3

A tower is 60 m height. Its shadow is x metres shorter when the sun’s altitude is 45° than when it has been 30°, then x is equal to

(a)

41.92 m

(b)

43.92 m

(c)

43 m

(d)

45.6 m

The angle of depression of the top and bottom of 20 m tall building from the top of a multistoried building are 30° and 60° respectively. The height of the multistoried building and the distance between two buildings (in metres) is

(a)

20, 10\(\sqrt { 3 } \)

(b)

30, 5\(\sqrt { 3 } \)

(c)

20, 10

(d)

30, 10\(\sqrt { 3 } \)

The value of (tan1^o tan2^o tan3^o..... tan89^o) is ___________

(a)

0

(b)

1

(c)

2

(d)

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

A shuttle cock used for playing badminton has the shape of the combination of

(a)

a cylinder and a sphere

(b)

a hemisphere and a cone

(c)

a sphere and a cone

(d)

frustum of a cone and a hemisphere

A spherical ball of radius r₁ units is melted to make 8 new identical balls each of radius r₂ units. Then r₁:r₂ is

(a)

2:1

(b)

1:2

(c)

4:1

(d)

1:4

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 page is selected at random from a book. The probability that the digit at units place of the page number chosen is less than 7 is

(a)

\(\frac{3}{10}\)

(b)

\(\frac{7}{10}\)

(c)

\(\frac{3}{9}\)

(d)

\(\frac{7}{9}\)

The probability of getting a job for a person is \(\frac{x}{3}\). If the probability of not getting the job is \(\frac{2}{3}\)  then the value of x is

(a)

2

(b)

1

(c)

3

(d)

1.5

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