Question # 1

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a + c = b + d

a + b = c + d

a - b = c - d

None of these

For a positive integer n:

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(n+1)! = (n+1)n!

(n+1)! = (n+1)(n-1)!

n! = n(n+1)!

none of these

A statement which is true for all possible values of the variables involved in it, is called a:

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tautology

conditional

implication

absurdity

How many different number can be formed by taking 4 out of the six digits 1, 2, 3, 4, 5, 6:

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360

120

366

none of these

Every real number is also a/an:

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integer

rational number

irrationalnumber

complexnumber

cos^-1 (-x) =

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π + cos^-1 x

π - cos^-1x

π + sin^-1x

π - sin^-1x

No. of triangles can be formed by joining the vertices of the polygon having 12 sides ?

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202

220

110

none of these

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integer

rational number

irrational number

natural number

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3×2

2×3

2×2

3×3

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Period of a trigonometric function is:

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any real number

any negative real number

any integer

a least positive number

Which of the following is correct:

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2 + 7i > 10 + i

1 + i > 1 - i

4 + 3i > 1 + 3i

none of these

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c = 0

b = 0, c = 0

To draw general conclusions from well-known facts is called:

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logic

proposition

induction

deduction

How many complex cube roots of unity are there:

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2

0

1

3

If cosec Θ > 0 and cot Θ < 0, then terminal arm of the angle lies in:

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I

II

III

IV

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In a triangle ABC if a² - b² + c² = ac then < ß =

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tan^-1 (-x) =

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tan^-1x

cot^-1x

-tan^-1x

-cot^-1x

The range of principal cosine function is:

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