Quiz 3 – Class 9 Maths Chapter 1 Real Numbers

• Time Limit: You have 15 minutes to complete the quiz.
• Multiple Choice: Each question comes with several answer options.
• One Correct Answer: Only one option is correct for each question.
• No Negative Marking: There is no penalty for wrong answers.

Class 9 Maths Chapter 1 Real Numbers Quiz Questions

Welcome to the quiz 3 on Chapter 1 – Real Numbers from your Class 9 Maths syllabus. This chapter explores the fundamentals of number systems and lays the foundation for your understanding of mathematical concepts. From natural numbers, whole numbers, and integers to rational and irrational numbers, this quiz will test your ability to recognize and apply the various types of numbers in different contexts. Let’s see how well you’ve grasped the basics and sharpen your mathematical skills. Get ready to challenge yourself and dive into the world of numbers!

Class 9 Maths Chapter 1 Real Number Of Life Quiz 3

Ques: A rational number between √2 and √3 is

a) √2+√3/2

b) √3−√2/2

c) 2.5

d) 1.5

Correct option: D

Ques: If x=2+√3 then x+1/x is

a) 4

b) 2√3

c) 2 – /√3

d) 4 + √3

Correct option: A

Give x=2+√3

1/x=(1/2+√3)×(2−√3/2−√3)

=2−√3/(2)2−(√3)2=2−√3/4−3=2−√3/1=2−√3

∴ x+1x=2+√3+2−√3

=4

Ques: If √45=a√5 then a=

a) √9

b) √15

c) 3

d) 15

Correct option: C

√45=a√5⇒√9×5=a√5⇒√9×√5=a√5

∴ a=√9=3

A: √ 9=√3×3=3

B: √15≠3

C: 3=3

D: 15≠3

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Ques: Statement I:⁵√6 > ⁶√5

Statement II: The ascending order of ³√5, ⁴√6 and ⁶√7 is ⁶√7 < ⁴√6 < ³√5

a) Both A and B are true

b) Both A and B are false

c) A is true and B is false

d) A is false and B is true

Correct option: A

STATEMENT I

L.C.M. of 5, 6 = 30

√⁵6 = √^5×66 = √³⁰6

√⁶5 = √^6×55 = √³⁰5

i.e., √⁵6 > √⁶5 (true)

STATEMENT II

L.C.M. of 3, 4, 6 = 12

√³5 = √¹²625

√⁴6 = √¹²216

√⁶7 = √¹²49

Thus, the ascending order is √¹²49 < √¹²216 < √¹²625

i.e., √⁶7 < √⁴6 < √³5 (true)

Ques: If x,y,z are three real numbers and if x>y and z is a negative number then the following correct one is

a) xz>yz

b) xz<yz

c) Both A and B

d) Only A is correct

Correct option: B

For example

x=4;y=3;z=−5

4>3

A: xz=4×(−5)=−20yz=3×(−5)=−15

∴xz<yz. So A is in correct.

B: xz<yz correct

C: Both A and B is incorrect

D: A is incorrect

Ques: Rational numbers and irrational numbers both are a part of a larger classification of numbers called _______.

a) imaginary numbers

b) real numbers

c) whole numbers

d) Integers

Correct option: B

Rational numbers and Irrational numbers both come under the classification of real numbers.

Ques: √^m√ⁿ√^pa = ?

a) √^mn√^p√a

b) √^m√^np√a

c) √^p√^m√ⁿ√a

d) √^p√^mnp√a

Correct option: D

A: √^m√ⁿ√^pa = (a^1/p)^1/n1/m = a^1/(p·n·m) = √^mnpa

B: √^m√ⁿa = (a^1/mnp) = a^1/(mnp) = √^mnpa

C: √^p√^m√ⁿa = (a^1/(mnp)) = √^mnpa

D: √^p√^mn√a = (a^1/mnp) = √^mnpa

So, all are correct

Ques: When an irrational and a rational number are added, the sum is a/an _______ number.

a) rational

b) irrational

c) positive

d) negative

Correct option: B

When an irrational number and a rational number are added, the sum is an irrational number. For example:

When a rational number 2, and an irrational number √3 are added, their sum is an irrational number 2+√3.

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Ques: Considering these irrational numbers √3,√6,√10 and √5, find the irrational number which is closest to 3 and not exceeding 3.

a) √3

b) √6

c) √10

d) √5

Correct option: B

The values of the given irrational numbers are as follows:

3=1.732020…

6=2.449489…

10=3.162277…

5=2.236067…

Therefore, 6 is the closest to 3.

Ques: The product of two rational numbers can never be ________.

a) rational

b) irrational

c) positive

d) negative

Correct option: A

The product of two rational numbers can never be irrational.

For example:

3/2×5/4=15/8

Here, the product of two rational numbers 3/2 and 5/4 is also a rational number 15/8.