Question # 1

Identity w.r.t intersection in a power set of any set is

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∅

Set itself

Singleton set

{0}

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

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Addition

Multiplication

Subtraction

None

The number of subsets of a set having three elements is

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4

6

8

none of these

If A=B, then

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A⊂B and B⊂A

A⊆B and B⊈A

A⊆B and B⊆A

None of these

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 real numbers is a subset of

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The set of natural numbers

The set of rational numbers

The set of integers

The set of complex numbers

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Every subset of a finite set is

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Disjoint

Null

Finite

Infinite

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

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{x / x∈ A∧ x∈ U}

{x / x∉ A∧ x ∈ U}

{x / x∈ A and x ∉ U}

A-U

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A

A'

U

Power set of X i.e P(X) _______ under the binary operation of union U

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Forms a group

Does not form a group

Has no identity element

Infinite set although X is infinite

The set Q

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Forms a group under addition

Does not form a group

Contains no additive indentity

Contains no additive inverse

If a = {2m/2m < 9 ,m€ p} , the (n A) =

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{2,3,4,5,6,7,8}

{2,4,6,8............16}

{ 4, 6}

{2,3,5,7}

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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

Decimal part of irrational number is

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Terminating

Repeating only

Neither repeating nor terminating

Repeating and terminating

Z is the set of integers, (z, *) is a group with a * b = a + b + 1, a, b∈G. then inverse of a is

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-a

a + 1

-2 -a

None of these

A disjunction of two statement p and q is true

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p is false

q is false

Both p and q are false

One of p and q is true

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None of these

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

The set (Q, .)

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Forms a group

Does not form a group

Contains no additive identity

Contains no additive inverse

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

If A and B are two sets then intersection of A and B is denoted by

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A conditional "if p then q" is denoted by

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A function whose range is just one elements is called

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One-one function

Constant function

Onto function

Identity function

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Addition

Subtraction

Multiplication

None of these

Which of the following is the subset of all sets

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Φ

{1,2,3}

{Φ}

{0}

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4

3

2

1

The set which has no proper subset is

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{0}

{}

{∅}

None of these

(A ∩ B)c =

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A∩ B

(A ∪ B)c

Ac∪Bc

Φ

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

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