Question # 1

A function whose range is just one elements is called

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One-one function

Constant function

Onto function

Identity function

The total number of subsets that can be formed out of the set {a, b, c} is

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1

4

8

12

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Power set of difference set N-W is

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Empty set

Infinite set

Singleton set

{0,∅}

The complement of set A relative to universal set U is the set

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{x / x∈ A∧ x∈ U}

{x / x∉ A∧ x ∈ U}

{x / x∈ A and x ∉ U}

A-U

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

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 set of real numbers is a subset of

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The set of natural numbers

The set of rational numbers

The set of integers

The set of complex numbers

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Which conjunction is not true ?

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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

-2 -a

None of these

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

The number of subset of {0} is

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1

2

3

None

If z1 = 2 + 6i and z2 = 3 + 7i then which expression defines the product of z1 and z2

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36 +(-32)i

-36+32i

6+(-11)i

0, +(-12)i

The set { {a,b} } is

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Infinite set

Singleton set

Two points set

Empty set

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square root function

identity function

linear function

quadratic function

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Every set is an improper subset of

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Empty set

Equivalent set

Itself

Singleton set

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

The set of integer is

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Finite group

A group w.r.t addition

A group w.r.t multiplication

Not a group

The set {{a,b}} is

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Infinite set

Singleton set

Two points set

None

If n(X) = 18, n(X∩Y) = 7, n(X∪ Y) = 40 then n(Y) =

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1

12

5

29

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

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If P is a proposition then its negative is denoted by

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

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99

odd integers

Even numbers

Infinite

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(A∪B)∪C= --------------------------

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A∩B(B∪C)

A∪(B∪C)

A∪(B∩C)

None of these

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A = C

A = B

B = C

None of these

The negation of given number is a

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Binary operation

Unary operation

Relation

None of these

The set { {a, b} } is

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Infinite set

Singleton set

Two points set

Empty set

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Mathematics ECAT Pre Engineering Chapter 2 Set, Functions and Groups Online Test MCQs With Answers

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