Question # 1

The product of cube roots of unity is

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Zero

1

-1

None of these

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xy

y

0

x

If a statement S(n) is true for n = 1 and the truth of S(n) for n = k implies the truth of S(n) for = k + 1, then S(n) is true for all

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Real numbers n

Integers n

Positive integers n

None of these

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2

-2

none of these

If a 1-1 correspondence can be established b/w two sets A and B, then they are called

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Equal sets

Equivalent sets

Over lapping sets

None of these

If distance between (3,b) and (0,0) is 3 then b = _______

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3

9

0

If G is a G.M between a and b then a,G,b are in

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A.P

H.P

G.P

None of these

The distance of the point (2,3) from origin is

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5

2

3

A sequence of number whose reciprocals form an arithmetic sequence is called

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Geometric sequence

Arithmetic series

Harmonic sequence

Harmonic series

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If f(x) = x + 1 then f(z²-1) is

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z²

z²+ 2

z²- 2

none of these

The additive identity of real number is

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1

2

1/2

0

1 radian = _____

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60°

57.296°

57.2°

180°

∀x,y∈R and x> 0 , y>0, if x > y

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None of these

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A positive integer

A negative integer

A natural number

An irrational number

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3x²+ 2

3x²+ 2x + 3

x³+ x²

none of these

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A relation in which the equality is true for all values of the unknown is called ______

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An identity

An equation

A polynomial

None of these

If n is any positive integer ,t hen 2+4+6+......+2 n=

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2ⁿ-1

2ⁿ+1

n²+1

n(n+1)

The seventh term of (x3+1/x)8is

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71

-22

27

28

For the equation |x²| + |x| -6 =0, the roots are

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One and only one real number

Real with sum one

Real with sum zero

Real with product zero

If A is such that a,A,B are in A.P then A is called

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A.M

Common ratio

Common difference

None of these

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π / 3

π / 4

π / 6

0

If A is singular then |A| = ______

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1

0

2

None of these

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1

2

3

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3 x 1

1 x 3

3 x 3

1 x 1

A machine operates if all of its three components function. The probability that the first component fails during the year is 0.14, the second component fails is 0.10 and the third component fails is 0.05. the probability that the machine will fail during the year is

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0.2647

0.2692

0.3647

None of these

If in the expansion of (1+x)ⁿ, co-efficients of 2nd, 3rd and 4th terms are in A.P., then x=

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4

5

6

7

A triangle which is not right angle is called ______ triangle

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acute

Obtuse

Right

Oblique

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

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An identity

An equation

A polynomial

None

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