Question # 1

Number of permutations of n distinct objects taken r(<n - 3) at a time which exclude 3(<n) particular objects is

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3! P(n, r - 3)

P(n, 3) P(n, r - 3)

P(r, r)P(n, r - 3)

P(n - 3, r)

The centre fo the circle x²+ y²+ 12x -10 = 0 is

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(12, -10)

(6, -5)

(-12, 10)

(-6, 5)

The probability to get an odd number in a dice thrown once is

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6

1

1/6

1/2

An A.P., a G.P. and a H.P. have the same first and last terms and the same odd numbers of terms, the middle terms of the three series are in

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A.P.

G.P.

H.P.

None of these

The set of complex numbers forms

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Commutative group w.r.t addition

Commutative group w.r.t multiplication

Commutative group w.r.t division

Non commutative group w.r.t addition

If f(x) = x²-x then f(0) is

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0

1

2

3

The domain of f(x) = log x is

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[0,∞]

(0,∞)

[0,∞[

[∞,∞]

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none of these

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1

-i

i

0

If a,b,c are unit vectors then |a + b|2 +|a - b|2

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4

8ab

9cos

4(a,b)

The sum of even coefficient in the binomial expansion is

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2ⁿ⁺¹

2ⁿ

2^n-1

2n

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