Question # 1

There is no integer n for which 3ⁿis

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Odd

even

Natural

Prime

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A series consisting of an unlimited number of terms is termed as an

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Finite sequence

Infinite sequence

^{Infinite series}

geometric sequence

The coefficient of x¹⁰in the expansion (x³+3/x²)¹⁰is

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1700

17023

17027

17010

O is ______

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A positive integer

A negative integer

A natural number

An integer

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Name the property used in 4 + 9 = 9 + 4

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Associative property of addition

Commutative property of addition

Distributive property

Additive identity

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The solution set of the equation tan^-1x - cot^-1x = cos^-1(2 - x) is

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[0, 1]

[-1, 1]

[1, 3]

None of these

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π / 3

π / 4

π / 6

0

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Six boys and 3 girls are to be seated at random, in a row, for a photograph. The probability that no two girls will sit together is

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1/12

1/6

5/12

7/12

If z₁ = (a,b), z₂=(c,d), then z₁ z₂ = -------------------

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(ac,bd)

(ac+bd, ad-bc)

(ac-bd , ad+bc)

(ac-bd , ad-bc)

The general solution of the differential equation x dy / dx = 1 + y is:

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2

1

3

None

If line through (4,3) and (2,k) is perpendicular to y =2x +3, then k =_______

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-1

1

-4

4

Zero is

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An irrational number

A rational number

A negative integer

A positive number

tan h x = _________

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Given two numbers a and b. Let A denote the single A.M. between these and S denote the sum of n A.M.'s between them. Then S/A depends upon

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n, a, b

n, a

n, b

n

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π

π/6

-π/2

2π

(A∩Bc)c= -------------------------

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Ac∪Bc

Ac∪B

Ac∩B

None of these

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Improper rational fraction

Proper rational fraction

Polynomial

Equation

If d₁is the distance between (0,0) and (1,2) and d₂is the distance between (0,0) and (-1,-2) the

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d₁< d₂

d₁> d₂

d₁= d₂

none of these

The value of sin^-1 5/13 is equal to

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Cos 5/13

Tan^-1 5/12

cos^-15/12

2 cos^-14/5

In a triangle if a > 45°,β > 30° then y cannot be

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90°

100°

10°

120°

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a = -1/2, b = -1

a = 1, b = 2

a = 2, b = 3

None of above

Which of the following is not a quadrantal angle

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90°

100°

180°

270°

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If a₁and r are the first term and the common ratio respectively then (n + 1)th term of the G.P. is

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0

a₁r^n-1

a₁rⁿ⁺¹

a₁rⁿ

Which one is quadrantal angle

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8181710°

2345°

-8181180°

-2344°

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