Question # 1

The multiplicative inverse of x such that x = 0 is

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-x

does not exist

1/x

0

The number of subsets of B = {1,2,3,4,5}

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10

32

16

5

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

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True

False

Fallacious

Some times true

Multiplicative inverse of 0 is

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0

1

+-1

Does not exist

The negation of a number

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a relation

a function

unary operation

binary operation

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

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A

A'

U

A function whose range is just one element is called

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One-one function

Constant function

Onto function

Identity function

In a school, there are 150 students. Out of these 80 students enrolled for mathematics class, 50 enrolled for English class, and 60 enrolled for Physics class. The students enrolled for English cannot any other class, but the students of mathematics and Physics can take two courses at a time. Find the number of students who have taken both physics and mathematics

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40

30

50

20

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

-1-a

None of these

If A∩B=B, then n(A∩B) is equal to

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n(a)

n(a)+n(c)

n(c)

None of these

The set (Z,+) forms a group

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Forms a group w.r.t addition

Non commutative group w.r.t multiplication

Forms a group w.r.t multiplication

Doesn't form a group

The set (Z, +) forms a group

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Forms a group w.r.t. addition

Non commutative group w.r.t. multiplication

Forms a group w.r.t multiplication

Doesn't form a group

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4

3

2

1

The set {{a,b}} is

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Infinite set

Singleton set

Two points set

None

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 number of subsets of a set having three elements is

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4

6

8

none of these

If #n = (n-5)²+ 5, then find #3 x #4.

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54

12

4

9

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none of these

The set {-1,1} is

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Group under the multiplication

Group under addition

Does not form a group

Contains no identity element

Every set is an improper subset of

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Empty set

Equivalent set

Itself

Singleton set

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

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

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

If A=B, then

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A⊂B and B⊂A

A⊆B and B⊈A

A⊆B and B⊆A

None of these

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A

A'

U

None of these

0 is a symbol of

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singleton set

Empty set

Equivalent set

Infinite set

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1/x

-x

2x

0.5 x

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