Question # 1

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

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120

60

24

15

5 unbiased coins coins are tossed simultaneously. The probability of getting at least one head is

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1 / 32

31 / 32

1 / 16

None of these

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An experiment yields 3 mutually exclusive and exhaustive events A, B, C, if P(A) =2 and P(B) = 3. then P(C) =

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1 / 11

2 / 11

3 / 11

6 / 11

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y : x

x : y

-y : x

-x : y

If b²- 4ac = 0 then the roots of the equation are

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Real and distinct

Real and equal

Imaginary

None of these

Domain of cotθis

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i¹⁰¹ =

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i

i²

-i

-1

A function from A to B is denoted by

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f: A→ B

f: B → A

f: → A :B

f → A→ B

The law of cosines reduces to a2 +c2 =b2 for

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α = 90°

β = 90°

γ = 90°

α +β +γ =180°

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Number of conics is

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1

3

2

4

The number of triplets (x, y, z) satisfying sin^-1x +cos^-1y + sin^-1z = 2π is

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0

2

1

Infinite

The number of significant numbers which can be formed by using any number of the digits 0, 1, 2, 3, 4 but using each not more than once in each number is

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260

356

410

96

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none of these

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a cot(ax + b) + c

- a cot(ax + b) + c

In a triangle ABC, if angle A = 72° , angle B = 48° and c = 9 cm then Ĉ is

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69°

66°

60°

63°

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3 sec²x

3 sec²3x

sec²3x

sec²x

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Polynomial

Equation

Improper rational fraction

Proper rational fraction

The number z so that the triangle with vertices A(1,-1,0),B(-2,2,1)and C(0,2,z) is a right triangle with right angle at vertex C

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1,2

-1,-2

2,-1

-2,1

Name the property used in a (b-c) = ab - ac

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commutative property of multiplication

distributive property of multiplication

associative property of multiplication

multiplicative inverse

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5

15

10

20

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If 4 ⁶P_r= ⁶P_r+1, then r is equal to

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4

3

2

1

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a cos(ax + b) + c

- a cos(ax + b) + c

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The system of measurement in which the angle is measured in radians is called the

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circular system

CGS system

sexagesimal system

none of these

Range of cos x is ______

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[-1, 1]

R

Negative real numbers

R - { x | - 1 < x < 1}

A square matrix A for which A^t= A is called a

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Column matrix

Symmetric matrix

Skew-symmetric matrix

Row matrix

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