Question # 1

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

If f:A→B is an injective function and second elements of no two of its ordered pairs are equal, then f is called

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1-1 and onto

Bijective

1-1 and into

None of these

A function whose range is just one element is called

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One-one function

Constant function

Onto function

Identity function

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

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}

Which of the following is the definition of singleton

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The objects in a set

A set having no element

A set having no subset

None of these

(A∪B)∪C= --------------------------

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A∩B(B∪C)

A∪(B∪C)

A∪(B∩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

G = {e, a, b, c} is an Abelian group with e as identity element. The order of the other elements are

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2, 2, 2

3, 3, 3

2, 2, 4

2, 3, 4

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Singleton set

A set with two points

Empty set

None of these

A - B = ______

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Which of the following is the subset of all sets

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Φ

{1,2,3}

{Φ}

{0}

If p and q are two statements then their conjunction is denoted by

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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

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)

0 is a symbol of

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singleton set

Empty set

Equivalent set

Infinite set

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The multiplicative inverse of x such that x = 0 is

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-x

Does not exist

1/x

±1

The identity element of a set X with respect to intersection in P(x) is

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X

Does not exist

∅

None of these

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

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Addition

Multiplication

Subtraction

Division

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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

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a-b=ab

ab=a

a+b=ab

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

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Addition

Multiplication

Subtraction

None

The set { {a, b} } is

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Infinite set

Singleton set

Two points set

Empty set

The set {{a,b}} is

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Infinite set

Singleton set

Two points set

None

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The set of all positive even integers is

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Not a group

A group w.r.t subtraction

A group w.r.t division

A group w.r.t multiplication

The function whose range consists of just one element is called

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One-One Function

Identity Function

Onto Function

Constant Function

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

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