Question # 1

{x : xε Z and x < 1} is

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Singleton set

A set with two points

Empty set

None of these

The function {f(x,y)|y = ax2 +bx +c} is

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One-one function

Constant function

Onto function

Quadratic function

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A finite set

An infinite set

An empty set

None of these

Let A and B be two sets. If every element of A is also an element of B then

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A function whose range is just one element is called

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One-one function

Constant function

Onto function

Identity function

If #n = (n-5)²+ 5, then find #3 x #4.

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54

12

4

9

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

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

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A

A'

U

U'

A conditional "if p then q" is denoted by

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An empty set

Universal set

A singleton set

None of these

The set of the first elements of the orders pairs forming a relation is called its

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Relation in B

Range

Domain

Relation In A

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A onto B

both a & c

A into B

none of these

If A⊆ B, and B is a finite set, then

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n (a) < n(B)

n(B)<(A)

n(A)≤ n (B)

n(A)≥ n(B)

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A

A'

U

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

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A

A'

U

The set R is ........w.r.t subtraction

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Not a group

A group

No conclusion drawn

Non commutative group

A conjunction of two statement p and q is true only if

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p is true

q is true

Both p and q are true

both p and q are false

{1, 2, 3, 4,.....} is set of ______

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Natural numbers

Whole numbers

Integers

Rational numbers

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

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{-4}

{0}

{}

None of these

The negation of given number is a

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Binary operation

Unary operation

Relation

None of these

If A is a subset of B and B contains at least one element which is not an element of A, then A is said to be

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Improper subset of B

Super set of B

Proper subset of B

None of these

If n(A) = n then n(P(A)) is

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2n

n²

n/2

2ⁿ

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

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True

False

Fallacious

Some times true

The multiplicative inverse of x such that x = 0 is

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-x

does not exist

1/x

0

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A

B

A'

None of these

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n(A)

n(B)

0

1

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