Question # 1

The sets {1, 2, 4} and {4, 6, 8, 10} are

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Equal sets

Equivalent sets

Disjoint sets

Over lapping sets

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

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2ⁿ

2²ⁿ

2 . n

n²

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The number of subsets of a set having three elements is

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4

6

8

none of these

The set of whole numbers is subset of

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The set on integers

The set of natural numbers

{1, 3, 5, 7, ....}

The set of prime numbers

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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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If E = { } , then P(E)

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∅

{ }

{(2),(4),(6)....}

(∅)

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a constant function

linear function

quadratic funtion

none of these

In a school, there are 150 students. Out of these 80 students enrolled for mathematics class, 50 enrolled for English class, and 60 enrolled for Physics class. The students enrolled for English cannot any other class, but the students of mathematics and Physics can take two courses at a time. Find the number of students who have taken both physics and mathematics

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40

30

50

20

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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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 natural is a semi group w.r.t

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Addition

Division

Subtraction

None of these

The set (Q, .)

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Forms a group

Does not form a group

Contains no additive identity

Contains no additive inverse

The geometrical representation of a linear function is

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Circle

Parabola

Straight lie

None of these

The multiplicative inverse of x such that x = 0 is

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-x

Does not exist

1/x

±1

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A is proper subset of B

A is an improper subset of B

A is equivalent to B

B is subset of A

The set X is

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Proper Subset of X

Not A subset of X

Improper Subset of X

None of these

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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

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none of these

The negation of given number is a

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Binary operation

Unary operation

Relation

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 multiplicative inverse of -1 in the set {1-, 1} is

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1

-1

0

Does not exist

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A onto B

both a & c

A into B

none of these

Z is a group under

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Subtraction

Multiplication

Addition

None of these

The many subset can be formed from the set {a,b,c,d}

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8

4

12

16

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

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