Question # 1

Write down the power set of {9, 11}

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The set R is ........w.r.t subtraction

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Not a group

A group

No conclusion drawn

Non commutative group

Which of the following statement is true?

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A set is a collection of non-empty object

A set is a collection of only numbers

a set is any collection of things

a set is well-defined collection of objects

Which symbolic notation represent unary operation ?

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-

∨

∧

⇔

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

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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

The identity elements with respect to subtraction is

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0

1

-1

Does not exist

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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

The function whose range consists of just one element is called

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One-One Function

Identity Function

Onto Function

Constant Function

For any set X, X∪X is

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X

X'

Φ

Universal Set

Decimal part of irrational number is

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Terminating

Repeating only

Neither repeating nor terminating

Repeating and terminating

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

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A-B

A∩B

B-A

A∪B

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

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

The negation of given number is a

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Binary operation

Unary operation

Relation

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

The set of rational numbers is subset of

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The set of natural numbers

The set of real numbers

The set of integers

The set of whole numbers

{x : xε Z and x < 1} is

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Singleton set

A set with two points

Empty set

None of these

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

-1-a

None of these

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(A∪B)∪C= --------------------------

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A∩B(B∪C)

A∪(B∪C)

A∪(B∩C)

None of these

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

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Conclusion

Implication

Unknown

Hypothesis

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Natural numbers

Whole numbers

Integers

Rational numbers

The set (Q, .)

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Forms a group

Does not form a group

Contains no additive identity

Contains no additive inverse

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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

None of these

If #n = (n-5)²+ 5, then find #3 x #4.

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54

12

4

9

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

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