Question # 1

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n(A)

n(B)

0

1

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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A

A'

U

A A'

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

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

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Natural numbers

Whole numbers

Integers

Rational numbers

Multiplicative inverse of "1" is

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0

-1

1

{0, 1}

If n(A) = n then n(P(A)) is

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2n

n²

n/2

2ⁿ

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

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The multiplicative inverse of x such that x = 0 is

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-x

does not exist

1/x

0

(A ∩ B)c =

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A∩ B

(A ∪ B)c

Ac∪Bc

Φ

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If z1 = 2 + 6i and z2 = 3 + 7i then which expression defines the product of z1 and z2

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36 +(-32)i

-36+32i

6+(-11)i

0, +(-12)i

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Evert element of A is in B

Every element of B is in A

Every element of A is in B'

Every element of A is in A

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

A set having only one element is called

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An empty set

Universal set

A singleton set

A power set

Group of none-singular matrices under multiplication is

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None-Abelian group

Semi group

Abelian group

None of these

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a constant function

linear function

quadratic funtion

none of these

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

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Addition

Multiplication

Division

Subtraction

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

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A

B

U

None of these

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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

P∉ A means

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Pis subset of A

Pis an element of A

P does not belongs to A

A does not element of P

For any set X, X∪X is

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X

X'

Φ

Universal Set

The extraction of cube root of a given number is a

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Unary Operation

Binary Operation

Relation

None of these

Let A,B and C be any sets such that A∪B = A∪C and A∩ B = A∩ C then

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A = B

B = C

A≠ C

A ≠ B

Multiplicative inverse of "1" is

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+- 1

0

1

None of these

{x|x∈R∧x≠x} is a

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Infinite set

Null set

Finite set

None of these

A disjunction of two statement p and q is true

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p is false

q is false

Both p and q are false

One of p and q is true

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

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