Question # 1

To each element of a group there corresponds ______ inverse element

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Two

One

No

Three

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If A is a set then any subset R of A 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 set {Z\ {0} } is group w.r.t

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Addition

Multiplication

Division

Subtraction

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none of these

The set of months in a year beginning with S.

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{September, October, November}

Singleton set

Null set

Empty set

If A = {x/x is a positive integer and 4≤x<23}, then A=

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{1,2,3,4,5,6,7}

{4,5,6...........22}

{1,2,3,.........23}

{1,2,3,4,5}

The complement of set A relative to universal set U is the set

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What is the number of elements of the power set of { }

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0

1

2

3

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Singleton set

A set with two points

Empty set

None of these

If there is one-one correspondence between A and B, then we write.

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A = B

A⊆ B

A⊇ B

A ∼ B

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The set of all positive even integers is

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Not a group

A group w.r.t. subtraction

A group w.r.t. division

A group w.r.t. multiplication

The set {-1,1} is closed under the binary operation of

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Addition

Multiplication

Subtraction

Division

A set having only one element is called

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An empty set

Universal set

A singleton set

A power set

The set of complex numbers forms a group under the binary operation of

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Addition

none of these

Division

Subtraction

Power set of X i.e P(X)..........under the binary operation of union U

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Forms a group

Does not form a group

Has no identity element

Infinite set although X is infinite

The complement of set A relative to universal set U is the set

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{x / x∈ A∧ x∈ U}

{x / x∉ A∧ x ∈ U}

{x / x∈ A and x ∉ U}

A-U

The set (Z, +) forms a group

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Forms a group w.r.t addition

Forms a group w.r.t multiplication

Non commutative group w.r.t multiplication

Doesn't form a group

If n(X) = 18, n(X∩Y) = 7, n(X∪ Y) = 40 then n(Y) =

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1

12

5

29

The set of integers is a subset of

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The set of natural numbers

The set of whole numbers

The set of prime numbers

The set of rational numbers

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ECAT Mathematics Chapter 23 MCQs With Answers

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