Question # 1

In binomial expansion of (a+b)n, n is positive integer the sum of even coefficients equals:

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none of these

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A.P

G.P

H.P

none

One of the roots of the equation 3x2 + 2x + k = 0 is the reciprocal of the other, then k = ...............:

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3

2

1

4

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ab - cd = 0

ac - bd = 0

ad - bc = 1

ad - bc = 0

In binomial expansion (a+b)ⁿ, n is positive integer the sum of coefficients equals:

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none of these

Solution set of the simultaneous equations : x + y = 1, x - y = 1 is:

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{(0,0)}

{(1,0)}

{(0,1)}

{(1,1)}

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scalar matrix

diagonalmatrix

triangularmatrix

none of these

The number of diagonals of a polygon with n sides is:

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none of these

Conjugate of a + i b is:

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-a + ib

a + ib

-a - ib

a - ib

The identity element in a group is:

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unique

inifinite

both a and b

not possible

x2 - 5x + 6 = 0 is:

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p is false and q is true

both p and q are false

p is true and q is false

both p and q are true

A set containing finite number of elements is called:

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nullset

superset

finiteset

infiniteset

In binomial expansion of (a+b)ⁿ, n is positive integer the sum of odd coefficients equals:

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none of these

In an A.P.a₃ = 12 and a₇ = 32 then d = :

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5

3

7

9

A sequence of numbers whose reciprocal form an arithmetic sequence, is known as:

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arithmetic sequence

geometricsequence

harmonicsequence

none of these

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B

A

none of these

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The set of all rational numbers between 2, 3 is:

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an empty set

an infinite set

a finite set

a power set

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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