Question # 1

Cot 45° = ______

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24 can be written as a product of

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Odd factors

Even factors

Whole factors

Prime factors

If n(X) = 18, n(X∩Y) = 7, n(X∪ Y) = 40 then n(Y) =

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1

12

5

29

If cos 20°=K and cos x=2 k²-1, then the possible values of x between 0° and 360° are

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140°

50° and 140°

50° and 130°

40° and 320°

f(x) = ax + b will be an identity function if

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a = 1 , b = 1

a = 1 , b = 0

Fifteen girls compete in a race. The first three places can be taken by them in

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3! ways

12! ways

15 x 14 x 13 ways

42 ways

Five engineering, four mathematics, two chemistry books are placed on a table at random.The probability that the books of each kind are all together is

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If sin A = cos A, 0°<A<90° then A is equal to

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1

1/2

0

None of these

Which one is not defined∀n∈Z+

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-n!

n!

(-n)!

n!+0!=n!+1

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The range of inequality x + 2 > 4 is

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(-1, 2)

(-2, 2)

(1,∞)

None

Equation of the chord of contact to the tangents drawn from (-3,4) to the circle x2 + y2 = 21

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-3x + 4y =21

4x - 3x = 0

-3x + 4y = 25

None of these

(1, 2) is in the solution of the inequality

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2x + y > 8

2x + y < 6

2x - y > 1

2x + 3y < 2

The line y =mx +1 is tangent to the parabola y2 =4x if

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m=1

m=2

m=3

m=4

The first three terms in the expansion of (1 + x)³are

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1 + 3x +6x²

1- 3x + 6x²\

-3 -3x -6x²

1- 3x -6x²

14 is not a

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Prime number

Whole number

Even number

Real number

The equation of the circle witch centre (-3, 5) and radius 7 is

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(x-3)²+ (y+5)²= 7²

(x-3)²+ (y-5)²= 7²

(x+3)²+ (y+5)²= 7²

(x+3)²+ (y-5)²= 7²

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The ellipse and hyperbola are called

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Concentric conics

Central conics

Both a b

None

Cos 60° = ______

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1

2

1/2

3

Both the roots of the equation (x - b) (x - c) + (x - c)(x - a) + (x - a)(x - b) = 0 are always

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Positive

Negative

Real

None of these

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How many necklaces can be made from 6 beads of different colours?

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120

60

24

15

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9/4

4/9

1

None of these

x = sin^-13, then the value of sin x is

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√(3/2)

3

Not possible

-1

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cosec x + c

-cosec x + c

-sec x + c

sec x + c

A function whose domain is a subset of natural numbers is called ______

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Identity function

Sequence

Onto function

Series

The set {1, -1, i, -i}

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Form a group w.r.t addition

Form a group w.r.t multiplication

Does not form a group w.r.t multiplication

Not closed under multiplication

What is the probability of being born on Wednesday?

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1/7

1/2

1/3

1/8

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cos 2x + c

- cos 2x + c

tan 2x + c

cot 2x + c

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c/a

-c/a

b/a

-b/a

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