Question # 1

A monoid (G, *) is said to be group if

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have identity element

is commutative

have inverse of each element

None of these

If B ={x/x€ Z ^ - 3 < x < 6}, then n (B) =

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5

{-3,-2,-1,0,1,2,3,4,5,6}

8

9

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

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

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{a}

∅

{∅,{a}}

{∅,a}

Additive inverse of -a -b is

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a

-a + b

a - b

a + b

The set R is ______ w.r.t subtraction

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Not a group

A group

No conclusion drawn

Non commutative group

For any set B,B∪B' is

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Is set B

Set B'

Universal set

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

The number of subset of {0} is

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1

2

3

None

Decimal part of irrational number is

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Terminating

Repeating only

Neither repeating nor terminating

Repeating and terminating

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

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The set (Q, .)

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Forms a group

Does not form a group

Contains no additive identity

Contains no additive inverse

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

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0

1

2

3

The set which has no proper subset is

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{0}

{}

{∅}

None of these

Z is a

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Infinite set

Finite set

Singleton set

Set of all integers

The set {{a,b}} is

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Infinite set

Singleton set

Two points set

None

Identity w.r.t intersection in a power set of any set is

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∅

Set itself

Singleton set

{0}

The graph of a quadratic function is

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Circle

Straight line

Parabola

Triangle

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A

B

A'B'

B'A

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a-b=ab

ab=a

a+b=ab

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Evert element of A is in B

Every element of B is in A

Every element of A is in B'

Every element of A is in A

Which of the following is the subset of all sets

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Φ

{1,2,3}

{Φ}

{0}

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}

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

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Addition

Multiplication

Subtraction

Division

If A = {2m/m³= 8 , m€ Z} then A =

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{1,8,27}

{4}

(2,4,6}

{2,16,54}

The set of integers is a subset of

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The set of natural numbers

The set of whole numbers

The set of prime numbers

The set of rational numbers

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A

B

U

None of these

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

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1

12

5

29

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