Question # 1

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

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

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1

-1

±1

0

Does not exist

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

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True

False

Fallacious

Some times true

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A

A'

U

None of these

If E = { } , then P(E)

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∅

{ }

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

(∅)

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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square root function

identity function

linear function

quadratic function

For any two sets A and, A ⊆ B if

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x ∈ A ⇒ x ∈ B

x ∉ A ⇒ x ∉ B

x ∈ A ⇒ x ∉ B

None of these

Under multiplication, solution set of is

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Groupoid

Abelian group

Semi group

All of these

(A ∩ B)c =

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A∩ B

(A ∪ B)c

Ac∪Bc

Φ

The set {Z\{0}} is group w.r.t

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Addition

Multiplication

Division

Subtraction

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A

A'

U

A A'

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a-b=ab

ab=a

a+b=ab

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If the intersection of two sets is non-empty, but either is a subset of other are called

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Disjoint sets

Over lapping

Equal sets

None of these

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

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Natural numbers

Whole numbers

Integers

Rational numbers

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

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Relation in B

Range

Domain

Relation in A

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n(A)

n(B)

0

1

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A

B

U

None of these

A function in which the second elements of the order pairs are distinct is called

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Onto function

One-one function

Identity function

Inverse function

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

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a constant function

linear function

quadratic funtion

none of these

The set of all positive even integers is

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Not a group

A group w.r.t. subtraction

A group w.r.t. division

A group w.r.t. multiplication

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

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Function on B

Range

Domain

A into B

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Which of the following has the same value as i113

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i

-1

-i

1

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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

Two sets A and B are said to be disjoint if

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

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