Question # 1

The set of natural numbers is a subset of

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{1, 2, 3, .... 100}

The set of whole numbers

{2, 4, 6, 8, .....}

None of these

(A∩Bc)c= -------------------------

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Ac∪Bc

Ac∪B

Ac∩B

None of these

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

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Addition

Multiplication

Subtraction

Division

Power set of difference set N-W is

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Empty set

Infinite set

Singleton set

{0,∅}

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Conclusion

Implication

Antecedent

Hypothesis

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

{0} is a

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Empty set

Singleton set

Zero set

Null Set

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

The set { {a,b} } is

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Infinite set

Singleton set

Two points set

Empty set

The set {x|x∈N∧x-4=0} in tabular form is

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{-4}

{0}

{}

None of these

Group of none-singular matrices under multiplication is

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None-Abelian group

Semi group

Abelian group

None of these

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-x

Infinite set

{-4, 4}

None of these

A∪(A∪B)= --------------------

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B

A

A∪B

None of these

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

The many subset can be formed from the set {a,b,c,d}

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8

4

12

16

The set of first elements of the ordered pairs in a relation is called its

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domain

range

relation

function

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To each element of a group there corresponds ______ inverse element

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Two

One

No

Three

A statement which is either true or false is called

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Induction

Deduction

Propositicon

Logic

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A

B

U

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

The set {Z\{0}} is group w.r.t

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Addition

Multiplication

Division

Subtraction

Let A,B and C be any sets such that A∪B = A∪C and A∩ B = A∩ C then

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A = B

B = C

A≠ C

A ≠ B

(A∪B)∪C= --------------------------

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A∩B(B∪C)

A∪(B∪C)

A∪(B∩C)

None of these

Which of the following is the subset of all sets

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Φ

{1,2,3}

{Φ}

{0}

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4

3

2

1

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

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1

12

5

29

For a set A, A∪Ac= ---------------------

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A

∅

Ac

U

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