Question # 1

If B-A≠φ , then n(B-A) is equal to

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n(a)+n(c)

n(c)-n(a)

n(a)-n(c)

None of these

The set { {a, b} } is

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Infinite set

Singleton set

Two points set

Empty set

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

Write down the power set of {9, 11}

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The set of all positive even integers is

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Not a group

A group w.r.t subtraction

A group w.r.t division

A group w.r.t multiplication

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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None of these

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}

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A

A'

U

None of these

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4

3

2

1

A function whose range is just one elements is called

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One-one function

Constant function

Onto function

Identity function

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

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

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

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99

odd integers

Even numbers

Infinite

The negation of given number is a

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Binary operation

Unary operation

Relation

None of these

In a country, 55% of the male population has houses in cities while 30% have houses both in cities and in village. Find the percentage of the population that has house only in villages.

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45

30

25

50

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Additive inverse of -a -b is

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a

-a + b

a - b

a + b

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

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Addition

Multiplication

Subtraction

None

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A onto B

both a & c

A into B

none of these

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

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True

False

Ambiguous

Some times true

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

A = B if

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A is equivalent to B

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1

12

5

29

For any set B,B∪B' is

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Is set B

Set B'

Universal set

A = B iff

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All elements of A also the elements of B

A and B should be singleton

A and B have the same number of elements

If both have the same element

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

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Addition

Multiplication

Subtraction

Division

Which conjunction is not true ?

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What is the number of elements of the power set of {0, 1}

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1

2

3

4

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