Question # 1

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The set {x +iy / x, y ∈ Q} forms a group under the binary operation of

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Addition

Multiplication

Division

Both addition and multiplication

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If B ={x/x€ Z ^ - 3 < x < 6}, then n (B) =

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5

{-3,-2,-1,0,1,2,3,4,5,6}

8

9

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A finite set

An infinite set

An empty set

None of these

The set of whole numbers is subset of

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The set on integers

The set of natural numbers

{1, 3, 5, 7, ....}

The set of prime numbers

Given X,Y are any two sets such that number of elements in set X = 28, number of elements in set Y = 28, and number of elements in set X∪Y = 54, then number of elements in set X ∩ Y =

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4

3

2

1

If D = {a} , the P(D) =

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{a}

∅

{∅,{a}}

{∅,a}

The negation of given number is a

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Binary operation

Unary operation

Relation

None of these

The multiplicative inverse of x such that x = 0 is

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-x

Does not exist

1/x

±1

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

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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

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

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A-B

A∩B

B-A

A∪B

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

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{x|x∈R∧x≠x} is a

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Infinite set

Null set

Finite set

None of these

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Conclusion

Implication

Antecedent

Hypothesis

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An empty set

Universal set

A singleton set

None of these

The logic in which every statement is regarded as true or false and no other possibility is called

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Aristotelian login

Inductive logic

Non-Aristotelian logic

None of these

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

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0 is a symbol of

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singleton set

Empty set

Equivalent set

Infinite set

What is the number of elements of the power set of { }

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0

1

2

3

The negation of a number

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a relation

a function

unary operation

binary operation

A conditional is regarded as false only when the antecedent is true and consequent is

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True

False

Known

Unknown

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

Every subset of a finite set is

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Disjoint

Null

Finite

Infinite

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

If there is one-one correspondence between A and B, then we write.

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A = B

A⊆ B

A⊇ B

A ∼ B

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

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