Quiz about Chapter 1

Question 1

When will A x B be equal to BxA?

Accepted Answer

A=B

Answer

A>B

Answer

A<B

Answer

not possible

Question 2

The word ______ is to mean

any quantity varying from point to point of a curve.

Accepted Answer

Function

Answer

Curve

Answer

Cartesian product

Answer

Relation

Question 3

______ is the set of all points which we call as the

cartesian plane.

Accepted Answer

R X R

Answer

A X A

Answer

N X N

Answer

Z X Z

Question 4

Cartesian product of two non-empty sets provides

_______ in two dimensions and cartesian product of three

non-empty sets provide ______ in three dimensions.

Accepted Answer

a shape, an object

Answer

Object, shape

Answer

curve, line

Answer

line, curve

Question 5

Range of R

Accepted Answer

Subset of B

Answer

Subset of A

Answer

A

Answer

B

Question 6

Domain of R

Accepted Answer

Subset of A

Answer

Subset of B

Answer

A

Answer

B

Question 7

Co Domain of R

Accepted Answer

B

Answer

Subset of A

Answer

Subset of B

Answer

A

Question 8

If n(A) = p , n(B) =q ,

then the total number of

relations that exist from A

to B is _____

Accepted Answer

$$2^{pq}$$

Answer

$$2^pq$$

Answer

$$pq$$

Answer

$$p^q$$

Question 9

Every function is a relation.

Accepted Answer

True

Answer

False

Answer

may be

Answer

50 - 50

Question 10

Functions are _____ of relations.

Accepted Answer

subsets

Answer

Power set

Answer

super set

Answer

element

Question 11

_________ is a visual representation of a relation.

Accepted Answer

Arrow Diagram

Answer

Graph

Answer

Table

Answer

Roster Method

Question 12

If A and B are finite sets such that n(A) = p , n(B) = q then the total number of

functions that exist from A to B is

Accepted Answer

$$q^p$$

Answer

$$\frac{p}{q}$$

Answer

$$p^q$$

Answer

$$2^{pq}$$

Question 13

Let $$f\left(x\right)=\frac{1}{x^{2\ }-5x\ +6}$$ , then domain of f =

Accepted Answer

R-{2, 3}

Answer

R

Answer

R - {2}

Answer

N

Question 14

All the elements of a function should have images

Accepted Answer

True

Answer

False

Answer

not known

Question 15

Every function can be represented by a _______ in a graph.

Accepted Answer

Curve

Answer

point

Answer

arrow diagram

Question 16

Every curve represents function.

Accepted Answer

False

Answer

True

Question 17

A curve drawn in a graph represents a function, if every vertical line intersects the

curve in at most _____ point(s)

Accepted Answer

one

Answer

no

Answer

two

Question 18

If f : A--> B is an onto function then, the range of f is ____

Accepted Answer

B

Answer

A

Answer

A X B

Question 19

During winter season customers usually do not prefer buying air conditioner. Here

air conditioner is not chosen by any customer. This is an example of ____ function

Accepted Answer

into

Answer

onto

Answer

one - one

Answer

bijection

Question 20

______ function is widely used in the study of secret codes called cryptography

Accepted Answer

bijection

Answer

one - one

Answer

onto

Answer

into

Question 21

________ test is used to identify one - one function.

Accepted Answer

Horizontal line

Answer

Vertical line

Answer

no test

Question 22

The pre-images of 29, 53 in f : A --> B be defined by f (x) = 3x +2 are

Accepted Answer

9 and 17

Answer

9 and 10

Answer

12 and 17

Answer

10 and 12

Question 23

If range of f is a singleton set , then f is a ------ function.

Accepted Answer

constant

Answer

identity

Answer

zero

Answer

real valued

Question 24

All constant functions are bijections.

Accepted Answer

False

Answer

True

Question 25

If the range of f is a subset of

the set of all real numbers, then f is a _____ function

Accepted Answer

real - valued

Answer

identity

Answer

one - one

Answer

onto

Question 26

If f is a bijection from A to B, then

Accepted Answer

n(A) = n(B)

Answer

n(A) < n(B)

Answer

n(A) > n(B)

Answer

n(A) = n(B) = 0

Question 27

The Composition

g o f (x) exists only

when range of f is a

subset of domain of g.

Accepted Answer

True

Answer

False

Question 28

Geometrically, _______ represents a straight line in the graph.

Accepted Answer

linear

Answer

Cubic

Answer

quadratic

Question 29

Identity function is a straight line passes through _______

Accepted Answer

origin

Answer

x - axis

Answer

y- axis

Question 30

Additive inverse

function

Accepted Answer

f(x) = -x

Answer

f(x) = x

Answer

f(x) = 1/x

Question 31

Name the type of function.

Accepted Answer

Modulus function

Answer

Quadratic function

Answer

cubic function

Question 32

The equations of motion of a particle travelling under the influence of gravity is a

_________ function of time.

Accepted Answer

quadratic

Answer

Linear

Answer

Cubic

Answer

one - one

Question 33

This graph represents ______ function.

Accepted Answer

reciprocal

Answer

Cubic

Answer

linear

Answer

quadratic

Question 34

The sum to n^th term of any A.P. is of the form _______ where p, q, r are some

constants.

Accepted Answer

pn²+ qn + r

Answer

pn³+ qn² + rn

Answer

(p/q)n + r

Answer

pn+r

Question 35

What is the sum of first n even natural numbers?

Accepted Answer

n(n+1)

Answer

n2

Answer

n2+ 1

Answer

n(n2+1)

Question 36

If the following are in G.P., then ______, 2 $$\sqrt[]{2}$$ ,4,...

Accepted Answer

2

Answer

1

Answer

$$\sqrt[]{2}$$

Answer

0

Question 37

When r = 1 , the formula for finding sum to n terms of a G.P. is ______.

Accepted Answer

na

Answer

n+a

Answer

n/a

Answer

n-a

Question 38

For what values of r, does the formula for infinite G.P. valid?

Accepted Answer

r < 1

Answer

r > 1

Answer

$$r\le1$$

Answer

$$r\ge1$$

Question 39

The value of r, such that 1 + r + r²+ r³ ... = $$\frac{3}{4}$$ is ___.

Accepted Answer

$$\frac{-1}{3}$$

Answer

$$\frac{1}{3}$$

Answer

3

Answer

-3

Question 40

_____ and ____ are least pair of Amicable Numbers

Accepted Answer

220 , 284

Answer

328,428

Answer

420, 520

Answer

225, 325

Question 41

The sum of first n natural numbers are also called ______

Accepted Answer

Triangular numbers

Answer

Pyramidal numbers

Answer

Amicable numbers

Answer

friendly numbers

Question 42

How many rectangles are there in a standard chess board?

Accepted Answer

1296

Answer

204

Answer

64

Answer

164

Chapter 1

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