Question # 1

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

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Addition

Multiplication

Division

Subtraction

The number of subset of {0} is

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1

2

3

None

(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

The contra positive of p → q is

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q → p

~q→~q

~p→~q

None of these

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

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0

1

2

3

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

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True

False

Fallacious

Some times true

If P = {x/x = p/q where p,q∈ Z and q≠ 0}, then P is the set of

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Irrational numbers

Even numbers

Rational numbers

Whole numbers

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≠ C

B = C

A = B

A≠ B

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Natural numbers

Whole numbers

Integers

Rational numbers

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

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∅

Set itself

Singleton set

{0}

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If T = {2,4,6,8,10,12}, then

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T = (First six natural numbers)

T = (First six odd numbers)

T = (First six real numbers)

T = ( First six even numbers)

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Which of the following sets is finite

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The set of natural numbers between 3 and 10

The set of rational numbers between 3 and 10

The set of real numbers between 0 and 1

The set of rational numbers between 0 and 1

If A is a set then any subset R of A x A is called

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relation on A

relation on B

relation from A to B

relation from B to A

A function whose range is just one elements is called

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One-one function

Constant function

Onto function

Identity function

Multiplicative inverse of "1" is

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0

-1

1

{0, 1}

The set which has no proper subset is

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{0}

{}

{∅}

None of these

The set {1,-1, i, -i} form a group under

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Addition

Multiplication

Subtraction

None

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

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A-B

A∩B

B-A

A∪B

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Addition

Subtraction

Multiplication

None of these

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An empty set

Universal set

A singleton set

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

Which of the following is the definition of singleton

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The objects in a set

A set having no element

A set having no subset

None of these

(A ∩ B)c =

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A∩ B

(A ∪ B)c

Ac∪Bc

Φ

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

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{-4}

{0}

{}

None of these

If p and q are two statements then their biconditional 'p if q' is denoted by

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