Question # 1

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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Natural numbers

Whole numbers

Integers

Rational numbers

The set of the first elements of the ordered pairs forming a relation is called its

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Function on B

Range

Domain

A into B

If T = {2,4,6,8,10,12}, then

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T = (First six natural numbers)

T = (First six odd numbers)

T = (First six real numbers)

T = ( First six even numbers)

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

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Singleton set

A set with two points

Empty set

None of these

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A onto B

both a & c

A into B

none of these

The set {1,-1,i,-i}

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Form a group w.r.t addition

Form a group w.r.t multiplication

Does not form a group w.r.t multiplication

Not closed under multiplication

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 statement that a group can have more than one identity elements is

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True

False

Ambiguous

Some times true

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square root function

identity function

linear function

quadratic function

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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none of these

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If B⊆ A, then complement of B in A is = -----------------------

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A-B

A∩B

B-A

A∪B

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

Two sets A and B are said to be disjoint if

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

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Addition

Multiplication

Subtraction

Division

(A ∩ B)c =

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A∩ B

(A ∪ B)c

Ac∪Bc

Φ

If E = { } , then P(E)

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∅

{ }

{(2),(4),(6)....}

(∅)

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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

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

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{-4}

{0}

{}

None of these

The set {1, -1, i, -i}

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Form a group w.r.t addition

Form a group w.r.t multiplication

Does not form a group w.r.t multiplication

Not closed under multiplication

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A

A'

U

None of these

The graph of a quadratic function is

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Circle

Straight line

Parabola

Triangle

The set (Z,+) forms a group

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Forms a group w.r.t addition

Non commutative group w.r.t multiplication

Forms a group w.r.t multiplication

Doesn't form a group

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≠ C

B = C

A = B

A≠ B

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4

3

2

1

If A∩B=B, then n(A∩B) is equal to

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n(a)

n(a)+n(c)

n(c)

None of these

The statement that a group can have more than one identity elements is

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True

False

Fallacious

Some times true

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

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