Question # 1

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A

B

U

None of these

If A∩B=B, then n(A∩B) is equal to

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n(a)

n(a)+n(c)

n(c)

None of these

Z is a group under

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Subtraction

Multiplication

Addition

None of these

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A

A'

U

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none of these

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

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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

A conditional "if p then q" is denoted by

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The graph of a linear function is

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a circle

triangle

a straight line

none of these

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Under multiplication, solution set of is

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Groupoid

Abelian group

Semi group

All of these

A - B = ______

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If a 1-1 correspondence can be established b/w two sets A and B, then they are called

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Equal sets

Equivalent sets

Over lapping sets

None of these

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

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{a}

∅

{∅,{a}}

{∅,a}

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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Addition

Multiplication

Division

Both addition and multiplication

In a country, 55% of the male population has houses in cities while 30% have houses both in cities and in village. Find the percentage of the population that has house only in villages.

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45

30

25

50

A set having only one element is called

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An empty set

Universal set

A singleton set

A power set

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

-1-a

None of these

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

The set of integers is a subset of

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The set of natural numbers

The set of whole numbers

The set of prime numbers

The set of rational numbers

The sets {1, 2, 4} and {4, 6, 8, 10} are

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Equal sets

Equivalent sets

Disjoint sets

Over lapping sets

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Addition

Subtraction

Multiplication

None of these

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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Conclusion

Implication

Antecedent

Hypothesis

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The set of all positive even integers is

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Not a group

A group w.r.t subtraction

A group w.r.t division

A group w.r.t multiplication

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The function whose range consists of just one element is called

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One-One Function

Identity Function

Onto Function

Constant Function

If S = {3,6,9,12.......}, then

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S = Four multiples of 3

S = Set of even numbers

S = Set of prime numbers

S = All multiples of 3

Which of the following sets is finite

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The set of natural numbers between 3 and 10

The set of rational numbers between 3 and 10

The set of real numbers between 0 and 1

The set of rational numbers between 0 and 1

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

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