Question # 1

sin5θ+sin3θ = _______;

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2sin 4θ cosθ

2cos 4θ sinθ

2cos 4θ cosθ

-2sin 4θ sinθ

The solution set of the inequality ax + by < c is

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straight line

half plane

parabola

none of these

The negation of given number is a

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Binary operation

Unary operation

Relation

None of these

The sample space for tossing a coin twice is

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{H, T}

{HH, HT, TH, TT}

{H, T, HH}

{HH, HT, TT}

There are two middle terms in the expansion of (a+x)n if n is

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Even +ve integer

+ve integer

Odd +ve integer

All

The maximum value of 12 sinθ-9 sin²θis x

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3

4

5

None of these

A function f is said to be an even if f(-x) =

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0

1

f(x)

-f(x)

(n + 2) (n + 1)n in factorial form is

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If a (p + q)²+ bpq +c = 0 and a (p + r)²+ 2 bpr + c = 0, then qr equals

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p²+ c/a

p²+ a/c

p²+ c/a

p²- c/a

The proposition S(k+1) is true when ______ is true∀K∈N

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S(n)

S(k)

S(1)

S(k-1)

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¹⁰C₆

¹⁰C₅

¹⁰C₄

None

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p < r

p > rr

p + r < 0

p - r < 0

sin2 π/6 + sin2 π/3 + tan2 π/4 =______;

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1

2

3

4

The distance between the points (0 , 0) and (1, 2) is

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5

0

3

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y/x

x/y

y/z

None

A card is drawn from a pack of cards numbered 2 to 53. the probability that the number on the card is prime number less than 20 is

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2 / 13

4 / 13

5 / 13

8 / 13

If x, y, z are the pth, qth, rth terms of an A.P. and also of G.P., then x^y-z. y^z-x. z^x-yeqals

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xyz

0

1

None of these

The 31 term of the A.P 5,2,-1.....is

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-82

82

85

-85

If the angle between two vectors with magnitude 6 and 2 is 60° when their scalar product is

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12

6

3

0

Which of the following is factor of x11+a11, where n is an odd integer

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x-a

x+a

2x-a

2x+a

The set of real numbers is a subset of

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The set of natural numbers

The set of rational numbers

The set of integers

The set of complex numbers

If x³+ 4x³- 2x +5 is divided by x - 1, then the reminder is

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8

6

4

None of these

A relation in which the equality is true only for some values of the known is called ______

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An identity

An equation

A polynomial

None of these

The perimeter of a sector of a central angle of measure 1 radian out off an are of length 35cm is

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35 cm

70 cm

140 cm

105 cm

Any whole number can be written as a product of factors which are

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Even number

Odd numbers

Prime number

Rational number

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An upper triangular matrix

A lower triangular matrix

A diagonal matrix

A null matrix

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If a2 = b2 then

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a = b

a+b= 1

|a+b| =0

None

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An equation in which at least one term contains dy/dx, d² y /dx²etc, is called.

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Differential equation

Initial condition

General solution

Singular equation

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