Question # 1

Given X.Y are any two sets such that number of elements in X = 18, number of elements in set Y = 24,and number of elements in set X∪ Y =40,then number of elements in set x∩ Y =

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3

1

2

4

For any set B,B∪B' is

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Is set B

Set B'

Universal set

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

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Addition

Multiplication

Subtraction

Division

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

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A

B

U

None of these

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

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1

2

3

4

The negation of a number

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a relation

a function

unary operation

binary operation

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

Φ set is the _______ of all sets

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Subset

Union

Universal

Intersection

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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 = B

B = C

A≠ C

A ≠ B

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Addition

Multiplication

Division

Both addition and multiplication

If the intersection of two sets is non-empty, but either is a subset of other are called

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Disjoint sets

Over lapping

Equal sets

None of these

The set (Z, +) forms a group

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Forms a group w.r.t. addition

Non commutative group w.r.t. multiplication

Forms a group w.r.t multiplication

Doesn't form a group

A statement which is either true or false is called

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Induction

Deduction

Propositicon

Logic

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The set of months in a year beginning with S.

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{September, October, November}

Singleton set

Null set

Empty set

A conjunction of two statement p and q is true only if

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p is true

q is true

Both p and q are true

both p and q are false

0 is a symbol of

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singleton set

Empty set

Equivalent set

Infinite set

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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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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

If B⊆ A, then complement of B in A is = -----------------------

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A-B

A∩B

B-A

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 number of subsets of B = {1,2,3,4,5}

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10

32

16

5

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

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True

False

Fallacious

Some times true

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

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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ECAT Mathematics Chapter 2 Set Function and Groups Online Test MCQs With Answers

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