Question # 1

If f:A→B is an injective function and second elements of no two of its ordered pairs are equal, then f is called

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1-1 and onto

Bijective

1-1 and into

None of these

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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

If A and B are two sets then intersection of A and B is denoted by

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4

3

2

1

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

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3

6

8

15

The identity element of a set X with respect to intersection in P(x) is

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X

Does not exist

∅

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

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

Write down the power set of {9, 11}

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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

Φset is the ______ of all sets?

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Subset

Union

Universal

Intersection

If A⊆ B, and B is a finite set, then

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n (a) < n(B)

n(B)<(A)

n(A)≤ n (B)

n(A)≥ n(B)

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

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∅

Set itself

Singleton set

{0}

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Biconditional

Implication

Antecedent

Hypothesis

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

Empty set is

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Not the member of real numbers

Infinite set

Finite set

Not subset of every set

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A = B

B = C

A = C

None of these

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

If z1 = 2 + 6i and z2 = 3 + 7i then which expression defines the product of z1 and z2

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36 +(-32)i

-36+32i

6+(-11)i

0, +(-12)i

The set of months in a year beginning with S.

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{September, October, November}

Singleton set

Null set

Empty set

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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

The statement that a group can have more than one identity elements is

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True

False

Ambiguous

Some times true

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

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1

-1

0

Does not exist

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The sets {1, 2, 4} and {4, 6, 8, 10} are

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Equal sets

Equivalent sets

Disjoint sets

Over lapping sets

What is the number of elements of the power set of {0, 1}

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1

2

3

4

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A

A'

U

A A'

The extraction of cube root of a given number is a

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Unary Operation

Binary Operation

Relation

None of these

If a 1-1 correspondence can be established b/w two sets A and B, then they are called

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Equal sets

Equivalent sets

Over lapping sets

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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