Question # 1

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

The set {-1,1} is closed under the binary operation of

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Addition

Multiplication

Subtraction

Division

A monoid (G, *) is said to be group if

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have identity element

is commutative

have inverse of each element

None of these

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

A conditional "if p then q" is denoted by

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If P = {x/x = p/q where p,q∈ Z and q≠ 0}, then P is the set of

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Irrational numbers

Even numbers

Rational numbers

Whole numbers

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}

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

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1

-1

±1

0

Does not exist

The function f{(x, y) | y = ax²+ bx + c} is

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One-one function

Constant function

Onto function

Quadratic function

The contra positive of p → q is

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q → p

~q→~q

~p→~q

None of these

The set { {a,b} } is

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Infinite set

Singleton set

Two points set

Empty set

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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

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

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A

A'

U

None of these

Let A and B be two sets. If every element of A is also an element of B then

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The number of different ways of describing a set is

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One

Two

Three

Four

{x : xε Z and x < 1} is

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Singleton set

A set with two points

Empty 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

The number of subsets of a set having three elements is

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4

6

8

none of these

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{0} is a

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Empty set

Singleton set

Zero set

Null Set

The set which has no proper subset is

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{0}

{}

{∅}

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 extraction of cube root of a given number is a

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Unary Operation

Binary Operation

Relation

None of these

Z is a group under

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Subtraction

Multiplication

Addition

None of these

If A is a set then any subset R of A x A is called

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relation on A

relation on B

relation from A to B

relation from B to A

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n(A)

n(B)

0

1

A = B if

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A is equivalent to B

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A

A'

U

U'

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ECAT Mathematics Chapter 2 Set Function and Groups Online Test MCQs With Answers

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