Question # 1

{0} is a

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Empty set

Singleton set

Zero set

Null Set

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

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 multiplicative inverse of x such that x = 0 is

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-x

Does not exist

1/x

±1

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

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True

False

Known

Unknown

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{1, 2, 3, 4,.....} is set of ______

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Natural numbers

Whole numbers

Integers

Rational numbers

The set {-1,1} is

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Group under the multiplication

Group under addition

Does not form a group

Contains no identity element

The negation of given number is a

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Binary operation

Unary operation

Relation

None of these

Two sets A and B are said to be disjoint if

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A = B

B = C

A = C

None of these

What is the number of elements of the power set of {0, 1}

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1

2

3

4

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A finite set

An infinite set

An empty set

None of these

The set {Z\ {0} } is group w.r.t

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Addition

Multiplication

Division

Subtraction

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An empty set

Universal set

A singleton set

None of these

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

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Addition

Multiplication

Division

Both addition and multiplication

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A

A'

U

U'

The set {x|x∈N∧x-4=0} in tabular form is

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{-4}

{0}

{}

None of these

If A = {x/x is a positive integer and 4≤x<23}, then A=

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{1,2,3,4,5,6,7}

{4,5,6...........22}

{1,2,3,.........23}

{1,2,3,4,5}

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

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Biconditional

Implication

Antecedent

Hypothesis

A function in which the second elements of the order pairs are distinct is called

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Onto function

One-one function

Identity function

Inverse function

If A = {2m/m³= 8 , m€ Z} then A =

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{1,8,27}

{4}

(2,4,6}

{2,16,54}

If A ⊆ B then A ∪ B is

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A

B

A'

A ∩B

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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

Multiplicative inverse of 0 is

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0

1

+-1

Does not exist

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

The set {Z\{0}} is group w.r.t

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Addition

Multiplication

Division

Subtraction

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

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