Question # 1

Probability of a certain event is:

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0

1

>1

∞

If ⁿP₂ = 30 then n = :

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5

6

2

3

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integer

rational number

irrational number

natural number

What is called the difference between two consecutive terms of an arithmetic sequence ?

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common ratio

common difference

common element

none of these

The identity element in a group is:

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unique

inifinite

both a and b

not possible

-2 sin α sin ß =

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sin (α + ß) + sin (α - ß)

cos (α + ß) + cos (α - ß)

cos (α + ß) - cos (α - ß)

cos (α - ß) + cos (α - ß)

The period of cot 2x is:

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No. of arrangements can be made of 4 letters a, b, c, d taken 2 at a time ?

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8

12

10

14

A declarative statement which is either true or false but not both is called:

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logic

proposition

induction

deduction

To convert any angle in degrees into radians, we multiply the measure by:

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Multiplicative inverse of -i is:

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i

-i

1

-1

Conjugate of a + i b is:

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-a + ib

a + ib

-a - ib

a - ib

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For what value of k, the sum of the roots of the equation x² + kx + 4 = 0 is equal to the product of its roots:

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±1

4

±4

-4

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

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integers n

real numbers n

positive real numbers n

positive integers n

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A^-1 exists if A is:

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singular

nonsingular

symmetric

none

If a_n-1 = 2n - 3 then a_n+1 =

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2n - 1

2n + 1

2n + 3

none

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40

-40

26

-26

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