Question # 1

The set which has no proper subset is

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{0}

{}

{∅}

None of these

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

The identity elements with respect to subtraction is

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0

1

-1

Does not exist

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

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One-one function

Constant function

Onto function

Quadratic function

Φset is the ______ of all sets?

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Subset

Union

Universal

Intersection

G = {e, a, b, c} is an Abelian group with e as identity element. The order of the other elements are

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2, 2, 2

3, 3, 3

2, 2, 4

2, 3, 4

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

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Natural numbers

Whole numbers

Integers

Rational numbers

If a 1-1 correspondence can be established b/w two sets A and B, then they are called

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Equal sets

Equivalent sets

Over lapping sets

None of these

(A ∩ B)c =

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A∩ B

(A ∪ B)c

Ac∪Bc

Φ

If #n = (n-5)²+ 5, then find #3 x #4.

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54

12

4

9

A∪(A∪B)= --------------------

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B

A

A∪B

None of these

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The set R is ______ w.r.t subtraction

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Not a group

A group

No conclusion drawn

Non commutative group

{x|x∈R∧x≠x} is a

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Infinite set

Null set

Finite set

None of these

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If A and B are two sets then intersection of A and B is denoted by

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The set of months in a year beginning with S.

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{September, October, November}

Singleton set

Null set

Empty set

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

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Addition

Multiplication

Subtraction

None

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3

1

2

4

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a constant function

linear function

quadratic funtion

none of these

Every set is an improper subset of

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Empty set

Equivalent set

Itself

Singleton set

What is the number of elements of the power set of { }

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0

1

2

3

If p and q are two statements then their conjunction is denoted by

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To each element of a group there corresponds ______ inverse element

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Two

One

No

Three

If a set S contains "n" elements then P (S) has ...... number of elements

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2ⁿ

2²ⁿ

2 . n

n²

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

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

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10

32

16

5

The number of subset of {0} is

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1

2

3

None

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

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