Question # 1

If A and B are two sets then any subset R of A x B is called

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relation on A

relation on B

relation from A to B

relation from B to A

For any set X, X∪X is

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X

X'

Φ

Universal Set

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

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0

1

2

3

The set of integer is

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Finite group

A group w.r.t addition

A group w.r.t multiplication

Not a group

Decimal part of irrational number is

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Terminating

Repeating only

Neither repeating nor terminating

Repeating and terminating

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-x

Infinite set

{-4, 4}

None of these

The contra positive of p → q is

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q → p

~q→~q

~p→~q

None of these

The negation of a number

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a relation

a function

unary operation

binary operation

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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Which of the following sets in infinite

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The set of students of your class

The set of all schools in Pakistan

The set of natural numbers between 3 and 10

The set of rational numbers between 3 and 10

(A∪B)∪C= --------------------------

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A∩B(B∪C)

A∪(B∪C)

A∪(B∩C)

None of these

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none of these

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

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1

-1

0

Does not exist

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

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A is proper subset of B

A is an improper subset of B

A is equivalent to B

B is subset of A

Which of the following is the subset of all sets?

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Addition

Multiplication

Division

Both addition and multiplication

If we have a statement "if p then q" then q is called

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Conclusion

Implication

Unknown

Hypothesis

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A

B

A'

None of these

The set (Z, +) forms a group

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Forms a group w.r.t addition

Forms a group w.r.t multiplication

Non commutative group w.r.t multiplication

Doesn't form a group

Z is a group under

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Subtraction

Multiplication

Addition

None of these

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

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1

-1

±1

0

Does not exist

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G = {e, a, b, c} is an Abelian group with e as identity element The order of the other elements are

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2,2,2

3,3,3

2,2,4

2,3,4

The identity elements with respect to subtraction is

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0

1

-1

Does not exist

The set of even prime numbers is

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(2,4,6,8,10}

{2,4,6,8,10,12}

{1,3,5,7,9}

{2}

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

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 total number of subsets that can be formed out of the set {a, b, c} is

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1

4

8

12

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

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

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