Question # 1

A - B = ______

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Power set of difference set N-W is

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Empty set

Infinite set

Singleton set

{0,∅}

The set of integer is

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Finite group

A group w.r.t addition

A group w.r.t multiplication

Not a group

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A

A'

U

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

The number of proper subset of A ={a.b.c.d} is

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3

6

8

15

A conditional "if p then q" is denoted by

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The set R is ______ w.r.t subtraction

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Not a group

A group

No conclusion drawn

Non commutative group

Empty set is

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Not the member of real numbers

Infinite set

Finite set

Not subset of every set

Which of the following has the same value as i113

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i

-1

-i

1

For any two sets A and, A ⊆ B if

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x ∈ A ⇒ x ∈ B

x ∉ A ⇒ x ∉ B

x ∈ A ⇒ x ∉ B

None of these

The set {x +iy / x, y ∈ Q} forms a group under the binary operation of

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Addition

Multiplication

Division

Both addition and multiplication

For any set B, BUB' is

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Is set B

Set B'

Universal set

None of these

The set of first elements of the ordered pairs in a relation is called its

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domain

range

relation

function

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

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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

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Write down the power set of {9, 11}

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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

(A ∩ B)c =

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A∩ B

(A ∪ B)c

Ac∪Bc

Φ

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

If x = 1/x for x ∈ R then the value of x is

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±1

0

2

4

If P = {x/x = p/q where p,q∈ Z and q≠ 0}, then P is the set of

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Irrational numbers

Even numbers

Rational numbers

Whole numbers

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

Group of none-singular matrices under multiplication is

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None-Abelian group

Semi group

Abelian group

None of these

The multiplicative inverse of x such that x = 0 is

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-x

does not exist

1/x

0

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

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Addition

none of these

Division

Subtraction

If D = {a} , the P(D) =

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{a}

∅

{∅,{a}}

{∅,a}

Multiplicative inverse of "1" is

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+- 1

0

1

None of these

Which conjunction is not true ?

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If A is a subset of B and B contains at least one element which is not an element of A, then A is said to be

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Improper subset of B

Super set of B

Proper subset of B

None of these

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Mathematics ECAT Pre Engineering Chapter 2 Set, Functions and Groups Online Test MCQs With Answers

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