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) = mx + n, when m and n are integers f(-2) = 7, and f(3) = 2 then m and n are equal to ___________

(a)

-1, -5

(b)

1, -9

(c)

-1, 5

(d)

1, 9

7^4k \(\equiv \) ________ (mod 100)

(a)

1

(b)

2

(c)

3

(d)

4

If a and b are the two positive intergs when a > b and b is a factor of a then HCF (a, b) is ____________

(a)

b

(b)

a

(c)

ab

(d)

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

Sum of infinite terms of G.P is 12 and the first term is 8. What is the fourth term of the G.P?

(a)

\(\frac { 8 }{ 27 } \)

(b)

\(\frac { 4 }{ 27 } \)

(c)

\(\frac { 8 }{ 20 } \)

(d)

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

The solution of the system x + y − 3z = −6, −7y + 7z = 7, 3z = 9 is

(a)

x = 1, y = 2, z = 3

(b)

x = −1, y = 2, z = 3

(c)

x = −1, y = −2, z = 3

(d)

x = 1, y = -2, z = 3

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

If \(\\ \\ \\ \\ \\ \\ \\ \left[ \begin{matrix} 4 & 3 & 2 \end{matrix} \right] \left[ \begin{matrix} 1 \\ -2 \\ x \end{matrix} \right] =\left[ 6 \right] \),then x is ___________

(a)

4

(b)

3

(c)

2

(d)

1

In ∆LMN, \(\angle\)L = 60^o, \(\angle\)M = 50^o. If ∆LMN ~ ∆PQR then the value of \(\angle\)R is

(a)

40^o

(b)

70°

(c)

30°

(d)

110°

In the given figure, PR = 26 cm, QR = 24 cm, \(\angle PAQ\) = 90^o, PA = 6 cm and QA = 8 cm. Find \(\angle\)PQR

(a)

80^o

(b)

85^o

(c)

75^o

(d)

90^o

The perimeter of a right triangle is 36 cm. Its hypotenuse is 15 cm, then the area of the traiangle is ____________

(a)

108 cm²

(b)

54 cm²

(c)

27 cm²

(d)

216 cm²

If (5, 7), (3, p) and (6, 6) are collinear, then the value of p is

(a)

3

(b)

6

(c)

9

(d)

12

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 ratio in which the line segment joining the points (-3, 10) and (6,-8) is internally divided by (-1, 6) ____________

(a)

7:2

(b)

3:4

(c)

2:7

(d)

5:3

The angle of elevation of a cloud from a point h metres above a lake is b. The angle of depression of its reflection in the lake is 45^o. The height of location of the cloud from the lake is ___________

(a)

\(\frac { h(1+tan\beta ) }{ 1-tan\beta } \)

(b)

\(\frac { h(1-tan\beta ) }{ 1+tan\beta } \)

(c)

h tan(45^o- β)

(d)

None of these

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 value of the expression \(\left[ \frac { { sin }^{ 2 }{ 22 }^{ o }+{ sin }^{ 2 }{ 68 }^{ o } }{ { cos }^{ 2 }{ 22 }^{ 0 }+{ cos }^{ 2 }{ 68 }^{ 0 } } +{ sin }^{ 2 }{ 63 }^{ o+ }{ cos }63^{ 0 }{ sin27 }^{ 0 } \right] \)is ___________

(a)

3

(b)

2

(c)

1

(d)

0

(sec A + tan A)(1 - sin A) is equal to ___________

(a)

sec A

(b)

sin A

(c)

cosec A

(d)

cos A

The angle of depression of a boat from a \(50\sqrt { 3 } \) m high bridge is 30^o. The horizontal distance of the boat from the bridge is ___________

(a)

150 m

(b)

\(150\sqrt { 3 } \)

(c)

60m

(d)

\(60\sqrt { 3 } \)

The total surface area of a cylinder whose radius is \(\frac{1}{3}\)of its height is

(a)

\(\frac { 9\pi { h }^{ 2 } }{ 8 } \) sq.units

(b)

24\(\pi\)h² sq.units

(c)

\(\frac { 8\pi { h }^{ 2 } }{ 9 } \) sq.units

(d)

\(\frac { 56\pi { h }^{ 2 } }{ 9 } \) sq.units

The ratio of the volumes of a cylinder, a cone and a sphere, if each has the same diameter and same height is

(a)

1:2:3

(b)

2:1:3

(c)

1:3:2

(d)

3:1:2

The probability a red marble selected at random from a jar containing p red, q blue and r green marbles is

(a)

\(\frac { q }{ p+q+r } \)

(b)

\(\frac { p }{ p+q+r } \)

(c)

\(\frac { p+q }{ p+q+r } \)

(d)

\(\frac { p+r }{ p+q+r } \)

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 probability of non-happening of an event is, then probability of happening of the event is ___________

(a)

1-q

(b)

q

(c)

\(\frac { q }{ 2 } \)

(d)

2q