Question # 1

Given X,Y are any two sets such that number of elements in set X = 28, number of elements in set Y = 28, and number of elements in set X∪Y = 54, then number of elements in set X ∩ Y =

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4

3

2

1

If #n = (n-5)²+ 5, then find #3 x #4.

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54

12

4

9

In set builder notation the set {0, 1, 2, ............, 100} can be written as

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If p and q are two statements then their conjunction is denoted by

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The number of different ways of describing a set is

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One

Two

Three

Four

The set {1, -1, i, -i}

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Form a group w.r.t addition

Form a group w.r.t multiplication

Does not form a group w.r.t multiplication

Not closed under multiplication

If n(A) = n then n(P(A)) is

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2n

n²

n/2

2ⁿ

If p and q are two statements then their biconditional 'p if q' is denoted by

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Z is the set of integers (Z.*) is a group with a * b = a +b +1, a,b ∈ G.then inverse of a is

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-a

a +1

-1-a

None of these

Φset is the ______ of all sets?

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Subset

Union

Universal

Intersection

If B-A≠φ , then n(B-A) is equal to

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n(a)+n(c)

n(c)-n(a)

n(a)-n(c)

None of these

The set {x|x∈N∧x-4=0} in tabular form is

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{-4}

{0}

{}

None of these

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A

B

A'B'

B'A

If A and B are two sets then any subset R of B x A is called

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relation on A

relation on B

relation from A to B

relation from B to A

The number of subset of {0} is

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1

2

3

None

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The negation of a number

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a relation

a function

unary operation

binary operation

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Natural numbers

Whole numbers

Integers

Rational numbers

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The set of the first elements of the orders pairs forming a relations is called its

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Relation in B

Range

Domain

Relation in A

A = B if

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A is equivalent to B

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A = B iff

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All elements of A also the elements of B

A and B should be singleton

A and B have the same number of elements

If both have the same element

The set of real numbers is a subset of

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The set of natural numbers

The set of rational numbers

The set of integers

The set of complex numbers

A∪(A∪B)= --------------------

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B

A

A∪B

None of these

The set of natural numbers is a subset of

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{1, 2, 3, .... 100}

The set of whole numbers

{2, 4, 6, 8, .....}

None of these

The set {Z\{0}} is group w.r.t

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Addition

Multiplication

Division

Subtraction

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Singleton set

A set with two points

Empty set

None of these

The set {Z\ {0} } is group w.r.t

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Addition

Multiplication

Division

Subtraction

If A ⊆ B then A ∪ B is

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A

B

A'

A ∩B

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