Question # 1

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Identity w.r.t intersection in a power set of any set is

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∅

Set itself

Singleton set

{0}

(n + 2) (n + 1) n= ______

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cotθ= sin 2θifθ=

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The parabola y2 + 2y + x = 0 lie in _____ quadrant.

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First

Second

Third

Fourth

A = B if

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A is equivalent to B

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

If x+y+z+......+2n = 2n+1-1∀n∈W,then cube root of xyz is equal to

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1

4

2

8

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Evert element of A is in B

Every element of B is in A

Every element of A is in B'

Every element of A is in A

If nis positive integers, then 2ⁿ>2n+1, only when

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n≤ 3

n≥ 3

n≤ 2

n≤ 1

Onto function is also called

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Binjective function

Injective function

Surjechive function

None of these

x = -1 is in the solution of the inequality

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x + 5 < 0

2x + 3 < 0

x > 0

2x + 3 > 0

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The area of a sector with central angle of 0.5 radians in a circular region whose radius is 2m is

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If #n = (n-5)²+ 5, then find #3 x #4.

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54

12

4

9

If a statement S(n) is true for n = i where i is some natural number and the truth of S(n) for n = k > i implies the truth of S(n) for n = k +1 then S(n) is true for all positive integers

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The multiplicative inverse of -1 in the set {1-, 1} is

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1

-1

+-1

0

If |a x b|2 + (a,b)2 = _____

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|a|2 + |b|2

|a|2- |b|2

|a|2|b|2

None

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If a variable y dependents on a variable x in such a way that each value of x determines exactly one value of y, then we say that

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x is function of y

y is a function of x

y is independent variable

x is real valued function

If n is odd then the middle terms in the expansion of (a + x)ⁿare

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If A is a skew-symmetric matrix of order n and P, any square matrix of order n, prove that P' AP is

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Skew-symmetric

Symmetric

Null

Diagonal

A combination lock on a suitcase has 3 wheels each labeled with nine digits from 1 to 9. If an opening combination is a particular sequence of three digits with no repeats, the probability of a person guessing the right combination is

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1 / 500

1 / 504

1 / 252

1 / 250

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Principle of equality of fractions

Rule for product of fraction

Rule for quotient of fraction

Golden rule of fractions

Decimal part of irrational number is

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Terminating

Repeating only

Neither repeating nor terminating

Repeating and terminating

If n is any positive integer then n! > 2^n-1for

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none of these

cos 3a =_______;

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3sin a - 4sin3 a

4sin a - 3sin3 a

3cos3 a - 4cos a

4cos3a - 3cos a

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