Question # 1

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The geometrical representation of a linear function is

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Circle

Parabola

Straight lie

None of these

The number of subsets of B = {1,2,3,4,5}

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10

32

16

5

Power set of X i.e P(X)..........under the binary operation of union U

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Forms a group

Does not form a group

Has no identity element

Infinite set although X is infinite

A∪(A∪B)= --------------------

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B

A

A∪B

None of these

The set { {a, b} } is

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Infinite set

Singleton set

Two points set

Empty set

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

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Addition

Multiplication

Division

Subtraction

Z is a group under

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Subtraction

Multiplication

Addition

None of these

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Biconditional

Implication

Antecedent

Hypothesis

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

-2 -a

None of these

If C={p/p < 18, p is a prime number}, then C =

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{2,3,4,.........17}

{2,4,6,8................16}

{1,3,5,7,9,11,13,15,17}

{3,6,9,12,15}

The set {1, -1, 1, -1}, form a group under

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Addition

Multiplication

Subtraction

None

The set Q

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Forms a group under addition

Does not form a group

Contains no additive indentity

Contains no additive inverse

If B ={x/x€ Z ^ - 3 < x < 6}, then n (B) =

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5

{-3,-2,-1,0,1,2,3,4,5,6}

8

9

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1

12

5

29

If #n = (n-5)²+ 5, then find #3 x #4.

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54

12

4

9

If A=B, then

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A⊂B and B⊂A

A⊆B and B⊈A

A⊆B and B⊆A

None of these

A set having only one element is called

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An empty set

Universal set

A singleton set

A power set

The many subset can be formed from the set {a,b,c,d}

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8

4

12

16

The graph of a quadratic function is

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Circle

Straight line

Parabola

Triangle

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A = B

B = C

A = C

None of these

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

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

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Addition

Multiplication

Division

Subtraction

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A

B

U

None of these

{x : xε Z and x < 1} is

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Singleton set

A set with two points

Empty set

None of these

The set of months in a year beginning with S.

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{September, October, November}

Singleton set

Null set

Empty set

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

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{x / x∈ A∧ x∈ U}

{x / x∉ A∧ x ∈ U}

{x / x∈ A and x ∉ U}

A-U

Power set of X i.e P(X) _______ under the binary operation of union U

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Forms a group

Does not form a group

Has no identity element

Infinite set although X is infinite

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The set of natural is a semi group w.r.t

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Addition

Division

Subtraction

None of these

The set of complex numbers forms a group under the binary operation of

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Addition

Multiplication

Division

Subtraction

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

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