Question # 1

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

If S = {3,6,9,12.......}, then

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S = Four multiples of 3

S = Set of even numbers

S = Set of prime numbers

S = All multiples of 3

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

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 function in which the second elements of the order pairs are distinct is called

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Onto function

One-one function

Identity function

Inverse function

Decimal part of irrational number is

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Terminating

Repeating only

Neither repeating nor terminating

Repeating and terminating

If n(X) = 18, n(X∩Y) = 7, n(X∪ Y) = 40 then n(Y) =

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1

12

5

29

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

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

Which of the following is the subset of all sets

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Φ

{1,2,3}

{Φ}

{0}

If A⊆ B, and B is a finite set, then

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n (a) < n(B)

n(B)<(A)

n(A)≤ n (B)

n(A)≥ n(B)

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

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True

False

Ambiguous

Some times true

If A ⊆ B then A ∪ B is

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A

B

A'

A ∩B

The multiplicative inverse of x such that x = 0 is

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-x

does not exist

1/x

0

For any set X, X∪X is

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X

X'

Φ

Universal Set

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If we have a statement "if p then q" then q is called

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Conclusion

Implication

Unknown

Hypothesis

Every set is an improper subset of

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Empty set

Equivalent set

Itself

Singleton set

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

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Natural numbers

Whole numbers

Integers

Rational numbers

The logic in which every statement is regarded as true or false and no other possibility is called

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Aristotelian login

Inductive logic

Non-Aristotelian logic

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

If D = {a} , the P(D) =

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{a}

∅

{∅,{a}}

{∅,a}

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Biconditional

Implication

Antecedent

Hypothesis

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A

A'

U

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None of these

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A = C

A = B

B = C

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 = {2m/m³= 8 , m€ Z} then A =

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{1,8,27}

{4}

(2,4,6}

{2,16,54}

{0} is a

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Empty set

Singleton set

Zero set

Null Set

The contra positive of p → q is

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q → p

~q→~q

~p→~q

None of these

If E = { } , then P(E)

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∅

{ }

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

(∅)

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

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