Question # 1

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

If A∩B=B, then n(A∩B) is equal to

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n(a)

n(a)+n(c)

n(c)

None of these

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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An empty set

Universal set

A singleton set

None of these

Let A,B, and C be any sets such that A∪B = A∪C and A∩B = A∩C then

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A≠ C

B = C

A = B

A≠ B

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Natural numbers

Whole numbers

Integers

Rational numbers

(A∪B)∪C= --------------------------

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A∩B(B∪C)

A∪(B∪C)

A∪(B∩C)

None of these

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

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The set {1,-1, i, -i} form a group under

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Addition

Multiplication

Subtraction

None

The set {1, -1, 1, -1}, form a group under

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Addition

Multiplication

Subtraction

None

The negation of given number is a

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Binary operation

Unary operation

Relation

None of these

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The many subset can be formed from the set {a,b,c,d}

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8

4

12

16

The set { {a, b} } is

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Infinite set

Singleton set

Two points set

Empty set

Which of the following is the subset of all sets

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Φ

{1,2,3}

{Φ}

{0}

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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

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A

A'

U

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

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1

-1

+-1

0

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

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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A

B

U

None of these

Every subset of a finite set is

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Disjoint

Null

Finite

Infinite

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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a-b=ab

ab=a

a+b=ab

Which conjunction is not true ?

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The set of whole numbers is subset of

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The set on integers

The set of natural numbers

{1, 3, 5, 7, ....}

The set of prime numbers

The extraction of cube root of a given number is a

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Unary Operation

Binary Operation

Relation

None of these

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1/x

-x

2x

0.5 x

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Singleton set

A set with two points

Empty set

None of these

Multiplicative inverse of "1" is

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+- 1

0

1

None of these

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

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