Question # 1

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 negation of given number is a

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Binary operation

Unary operation

Relation

None of these

Power set of difference set N-W is

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Empty set

Infinite set

Singleton set

{0,∅}

Two sets A and B are said to be disjoint if

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What is the number of elements of the power set of { }

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0

1

2

3

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-x

Infinite set

{-4, 4}

None of these

Which symbolic notation represent unary operation ?

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-

∨

∧

⇔

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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 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}

Z is a group under

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Subtraction

Multiplication

Addition

None of these

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Addition

Multiplication

Division

Both addition and multiplication

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none of these

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

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

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Conclusion

Implication

Unknown

Hypothesis

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 set { {a, b} } is

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Infinite set

Singleton set

Two points set

Empty set

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Singleton set

A set with two points

Empty set

None of these

The set {x +iy / x, y ∈ Q} forms a group under the binary operation of

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Addition

Multiplication

Division

Both addition and multiplication

Z is a

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Infinite set

Finite set

Singleton set

Set of all integers

The set of months in a year beginning with S.

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{September, October, November}

Singleton set

Null set

Empty set

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Φ set is the _______ of all sets

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Subset

Union

Universal

Intersection

Multiplicative inverse of 0 is

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0

1

+-1

Does not exist

If n(A) = n then n(P(A)) is

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2n

n²

n/2

2ⁿ

Additive inverse of -a -b is

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a

-a + b

a - b

a + b

Onto function is also called

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Binjective function

Injective function

Surjechive function

None of these

If 0 = {1,3,5.......}, then n (0) =

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99

odd integers

Even numbers

Infinite

Which of the following has the same value as i113

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i

-1

-i

1

The set which has no proper subset is

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{0}

{}

{∅}

None of these

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

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