Question # 1

The set {{a,b}} is

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Infinite set

Singleton set

Two points set

None

Which of the following sets is finite

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The set of natural numbers between 3 and 10

The set of rational numbers between 3 and 10

The set of real numbers between 0 and 1

The set of rational numbers between 0 and 1

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A

A'

U

A A'

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A

A'

U

None of these

Which of the following is the subset of all sets

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Φ

{1,2,3}

{Φ}

{0}

Decimal part of irrational number is

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Terminating

Repeating only

Neither repeating nor terminating

Repeating and terminating

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

The set R is ______ w.r.t subtraction

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Not a group

A group

No conclusion drawn

Non commutative group

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

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domain

range

relation

function

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A

B

A'B'

B'A

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Singleton set

A set with two points

Empty set

None of these

The function whose range consists of just one element is called

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One-One Function

Identity Function

Onto Function

Constant Function

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A is proper subset of B

A is an improper subset of B

A is equivalent to B

B is subset of A

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)

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

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1

-1

+-1

0

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Biconditional

Implication

Antecedent

Hypothesis

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1

12

5

29

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

Additive inverse of -a -b is

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a

-a + b

a - b

a + b

In a school, there are 150 students. Out of these 80 students enrolled for mathematics class, 50 enrolled for English class, and 60 enrolled for Physics class. The students enrolled for English cannot any other class, but the students of mathematics and Physics can take two courses at a time. Find the number of students who have taken both physics and mathematics

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40

30

50

20

The set {-1, 1} is

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Group under the multiplication

Group under addition

Does not form a group

Contains no identity element

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A

A'

U

None of these

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A

B

U

None of these

Z is a

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Infinite set

Finite set

Singleton set

Set of all integers

Z is a group under

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Subtraction

Multiplication

Addition

None of these

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

A = B if

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A is equivalent to B

The extraction of cube root of a given number is a

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Unary Operation

Binary Operation

Relation

None of these

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

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Function on B

Range

Domain

A into B

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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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