Question # 1

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

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Addition

Multiplication

Subtraction

Division

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Addition

Multiplication

Division

Both addition and multiplication

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 different ways of describing a set is

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One

Two

Three

Four

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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 {-1,1} is

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Group under the multiplication

Group under addition

Does not form a group

Contains no identity element

{x : xε Z and x < 1} is

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Singleton set

A set with two points

Empty set

None of these

The set {{a,b}} is

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Infinite set

Singleton set

Two points set

None

If x = 1/x for x ∈ R then the value of x is

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±1

0

2

4

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A = B

B = C

A = C

None of these

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

Multiplicative inverse of "1" is

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+- 1

0

1

None of these

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

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Addition

Multiplication

Subtraction

None

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

Decimal part of irrational number is

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Terminating

Repeating only

Neither repeating nor terminating

Repeating and terminating

The set {1, -1, i, -i}

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Form a group w.r.t addition

Form a group w.r.t multiplication

Does not form a group w.r.t multiplication

Not closed under multiplication

Z is a

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Infinite set

Finite set

Singleton set

Set of all integers

A function in which the second elements of the order pairs are distinct is called

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Onto function

One-one function

Identity function

Inverse function

The set of months in a year beginning with S.

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{September, October, November}

Singleton set

Null set

Empty set

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

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A onto B

both a & c

A into B

none of these

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A

A'

U

None of these

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A

A'

U

None of these

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 f:A→B is an injective function and second elements of no two of its ordered pairs are equal, then f is called

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1-1 and onto

Bijective

1-1 and into

None of these

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Singleton set

A set with two points

Empty set

None of these

A = B if

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A is equivalent to B

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square root function

identity function

linear function

quadratic function

The set of even prime numbers is

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(2,4,6,8,10}

{2,4,6,8,10,12}

{1,3,5,7,9}

{2}

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