Question # 1

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

Question # 2

The number of subset of {0} is

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1

2

3

None

Question # 3

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A

A'

U

Question # 4

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A finite set

An infinite set

An empty set

None of these

Question # 5

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None of these

Question # 6

If n(A) = n then n(P(A)) is

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2n

n²

n/2

2ⁿ

Question # 7

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Question # 8

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

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Question # 9

0 is a symbol of

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singleton set

Empty set

Equivalent set

Infinite set

Question # 10

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

Question # 11

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

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Addition

Multiplication

Subtraction

Division

Question # 12

P∉ A means

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Pis subset of A

Pis an element of A

P does not belongs to A

A does not element of P

Question # 13

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

Question # 14

(A∩Bc)c= -------------------------

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Ac∪Bc

Ac∪B

Ac∩B

None of these

Question # 15

The set of natural numbers is a subset of

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{1, 2, 3, .... 100}

The set of whole numbers

{2, 4, 6, 8, .....}

None of these

Question # 16

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

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Addition

Multiplication

Subtraction

None

Question # 17

If p and q are two statements then their biconditional 'p if q' is denoted by

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Question # 18

Multiplicative inverse of 0 is

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0

1

+-1

Does not exist

Question # 19

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Question # 20

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An empty set

Universal set

A singleton set

None of these

Question # 21

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

Question # 22

For any set X, X∪X is

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X

X'

Φ

Universal Set

Question # 23

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Question # 24

A = B iff

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All elements of A also the elements of B

A and B should be singleton

A and B have the same number of elements

If both have the same element

Question # 25

Write down the power set of {9, 11}

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Question # 26

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

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1

-1

±1

0

Does not exist

Question # 27

The identity elements with respect to subtraction is

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0

1

-1

Does not exist

Question # 28

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

Question # 29

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

Question # 30

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

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Mathematics ECAT Pre Engineering Chapter 2 Set, Functions and Groups Online Test

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