Question # 1

Z is a

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Infinite set

Finite set

Singleton set

Set of all integers

Z is a group under

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Subtraction

Multiplication

Addition

None of these

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Decimal part of irrational number is

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Terminating

Repeating only

Neither repeating nor terminating

Repeating and terminating

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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

Which of the following is the subset of all sets

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Φ

{1,2,3}

{Φ}

{0}

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

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2n

n²

n/2

2ⁿ

If D = {a} , the P(D) =

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{a}

∅

{∅,{a}}

{∅,a}

To each element of a group there corresponds ______ inverse element

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Two

One

No

Three

If P = {x/x = p/q where p,q∈ Z and q≠ 0}, then P is the set of

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Irrational numbers

Even numbers

Rational numbers

Whole numbers

A set having only one element is called

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An empty set

Universal set

A singleton set

A power set

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1/x

-x

2x

0.5 x

The set { {a, b} } is

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Infinite set

Singleton set

Two points set

Empty set

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

Two sets A and B are said to be disjoint if

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A conditional is regarded as false only when the antecedent is true and consequent is

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True

False

Known

Unknown

Multiplicative inverse of 0 is

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0

1

+-1

Does not exist

If A = {2m/m³= 8 , m€ Z} then A =

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{1,8,27}

{4}

(2,4,6}

{2,16,54}

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none of these

The set of natural numbers is a subset of

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{1, 2, 3, .... 100}

The set of whole numbers

{2, 4, 6, 8, .....}

None of these

The set of natural is a semi group w.r.t

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Addition

Division

Subtraction

None of these

A statement which is either true or false is called

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Induction

Deduction

Propositicon

Logic

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

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True

False

Ambiguous

Some times true

For any set X, X∪X is

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X

X'

Φ

Universal Set

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

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Addition

Multiplication

Subtraction

Division

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A

A'

U

None of these

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

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1

12

5

29

The set { {a,b} } is

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Infinite set

Singleton set

Two points set

Empty set

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

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