Quiz 5 – Class 9 Maths Chapter 1 Real Numbers

• Time Limit: 15 minutes to complete the quiz.
• Multiple Choice: Each question has several answer options.
• One Correct Answer: Only one option is correct for each question.
• No Negative Marking: No penalty for incorrect answers.

Welcome to Quiz 5 on Class 9 Maths Chapter 1 – Real Numbers from Class 9 Maths syllabus. This quiz will test your understanding of number systems, including natural, whole, integers, rational, and irrational numbers. Apply your knowledge and solve problem-based scenarios. Sharpen your mathematical skills and dive deep into the concepts covered in NCERT Solutions for Class 9 Maths. Enhance your preparation with this quiz and refer to Class 9 Maths worksheets for further practice. Good luck!

Class 9 Maths Chapter 1 Real Number Of Life Quiz 5

Ques: If √45=a√5, then find the value of a.

a) 9

b) 8

c) 2

d) 3

√45=a√5

⇒√9×5=a√5

⇒√9×√5=a√5

⇒a=√9

⇒a=3

Ques: The product of divisors of 343 is

a) 7²/³

b) 7²

c) 7³

d) 7⁶

Math Expression

Given: 343 = 7³

The number of divisors d(N) is:

d(N) = (n₁ + 1) = (3 + 1) = 4

The product of divisors of N is:

Product of divisors of N = N^{1/2 d(N)}

Thus, the product of divisors of 343 is:

Product of divisors of 343 = 343^{1/2 × 4} = 7^{3 × 2} = 7⁶

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Ques: If 2¹/₅x² = 1375, then the positive value of ‘x’ is

a) 25

b) 23

c) 27

d) 24

²¹/₅x² = 1375 → ¹¹/₅x² = 1375x² = ^{(1375 × 5)}/₁₁ = 625x = √625 = ± 25

Ques: Every irrational number is a _____ number.

a) Rational

b) Integers

c) Real

d) Whole

Real numbers are numbers which are not imaginary. Real numbers are numbers which include rational and irrational numbers.

Therefore, we can say that every irrational number is a real number.

Ques: ___ is not an irrational number.

a) 0

b) √3

c) 0.12122122212222……

d) √5

• A rational number can be expressed as p/q, where p and q are integers and q ≠ 0.
• Any number that cannot be represented as p/q, where p and q are integers and q ≠ 0, is considered irrational.
• Since we can express 0 in p/q form, it is not an irrational number.
• For example, 0/1, 0/2, etc.

Ques: The product of a non-zero rational number with an irrational number is always a/an ________ number.

a) rational

b) irrational

c) whole

d) natural

The product of a non-zero rational number with an irrational number is always an irrational number.

For example, 3 is a non-zero rational number and √2 is an irrational number. The product of these two numbers is 3√2, which is an irrational number.

Ques: What is the symbol used to represent irrational numbers?

a) R

b) Q

c) P

d) M

Real numbers consist of both rational and irrational numbers. (R – Q) defines that irrational numbers can be obtained by subtracting rational numbers (Q) from real numbers (R). This can also be written as (R/Q).

Hence Irrational Numbers Symbol = ‘Q’.

Ques: Simplify: √2×√2

a) 2

b) √2

c) 4

d) √4

√2×√2=√2×2=2

Ques: Simplify: √36×√2

a) √74

b) 36√2

c) 2√36

d) 6√2

Given, √36×√2

=√6×6×2

=6×√2

=6√2

Therefore, √36×√2=6√2

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Ques: π is an __________.

a) rational number

b) irrational number

c) natural number

d) a fraction

π is an irrational number, which means that it is a real number that cannot be expressed by a simple fraction. That’s because π is what mathematicians call an “infinite decimal” — after the decimal point, the digits go on forever and ever.