Question # 1

The number of subsets of a set having three elements is

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4

6

8

none of these

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A

A'

U

Multiplicative inverse of 0 is

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0

1

+-1

Does not exist

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A

A'

U

A A'

The set {{a,b}} is

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Infinite set

Singleton set

Two points set

None

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A

B

A'B'

B'A

If T = {2,4,6,8,10,12}, then

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T = (First six natural numbers)

T = (First six odd numbers)

T = (First six real numbers)

T = ( First six even numbers)

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

The negation of a number

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a relation

a function

unary operation

binary operation

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

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Addition

none of these

Division

Subtraction

A statement which is either true or false is called

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Induction

Deduction

Propositicon

Logic

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Φset is the ______ of all sets?

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Subset

Union

Universal

Intersection

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

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{1, 2, 3, 4,.....} is set of ______

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Natural numbers

Whole numbers

Integers

Rational numbers

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

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

G = {e, a, b, c} is an Abelian group with e as identity element. The order of the other elements are

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2, 2, 2

3, 3, 3

2, 2, 4

2, 3, 4

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4

3

2

1

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 number of subset of {0} is

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1

2

3

None

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

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A = B

B = C

A = C

None of these

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1

12

5

29

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

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

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Addition

Multiplication

Subtraction

Division

Two sets A and B are said to be disjoint if

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If p and q are two statements then their conjunction is denoted by

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A

B

A'

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

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