Last Updated on April 17, 2025 by XAM CONTENT
Hello students, we are providing assertion reason questions for class 10. Assertion Reason questions are the new question format that is introduced in CBSE board. The resources for assertion reason questions are very less. So, to help students we have created chapterwise assertion reason questions for class 10 maths. In this article, you will find assertion reason questions for CBSE Class 10 Maths Chapter 1 Real Numbers. It is a part of Assertion Reason Questions for CBSE Class 10 Maths Series.
| Chapter | Real Numbers |
| Type of Questions | Assertion Reason Questions |
| Nature of Questions | Competency Based Questions |
| Board | CBSE |
| Class | 9 |
| Subject | Maths |
| Useful for | Class 10 Studying Students |
| Answers provided | Yes |
| Difficulty level | Mentioned |
| Important Link | Class 10 Maths Chapterwise Assertion Reason |
Assertion Reason Questions on Real Numbers
Directions
In the questions given below, there are two statements marked as Assertion (A) and Reason (R).
Read the statements carefully and choose the correct option:
(A) Both A and R are true, and R is the correct explanation of A.
(B) Both A and R are true, but R is not the correct explanation of A.
(C) A is true, but R is false.
(D) A is false, but R is true.
Q1. Assertion (A): Every positive even integer is a multiple of 2.
Reason (R): The Fundamental Theorem of Arithmetic ensures the unique prime factorization of integers greater than 1.
Ans. Option (B) is correct.
Explanation: Both statements are true, but the Reason doesn’t explain why every even number is a multiple of 2. It refers to a broader concept.
Q2. Assertion (A): The decimal expansion of $\frac{7}{8}$ is terminating.
Reason (R): A rational number has a terminating decimal expansion if its denominator has only powers of 2 and/or 5 in prime factorization.
Ans. Option (A) is correct.
Explanation: The denominator of $\frac{7}{8}=8=2^3$, which has only 2 as its prime factor. Therefore, the decimal expansion is terminating.
Q3. Assertion (A): $\sqrt{5}$ is an irrational number.
Reason (R): The square root of any non-perfect square natural number is irrational.
Ans. Option (A) is correct.
Explanation: $\sqrt{5}$ is not a perfect square and thus is irrational. The Reason correctly supports the Assertion.
Q4. Assertion (A): If the HCF of two numbers is 1, they are said to be co-prime.
Reason (R): The LCM of two co-prime numbers is always equal to their product.
Ans. Option (A) is correct.
Explanation: Both statements are true and the Reason explains a key property of co-prime numbers.
Q5. Assertion (A): The decimal expansion of $\frac{1}{6}$ is non-terminating and repeating.
Reason (R): A rational number has a non-terminating repeating decimal if the denominator has prime factors other than 2 or 5.
Ans. Option (A) is correct.
Explanation: The denominator of $\frac{1}{6}=6=2 \times 3$. Since it contains a prime factor other than 2 or 5 , its decimal is non-terminating repeating.
Also check
- Polynomials Class 10 Assertion Reason Questions Maths Chapter 2
- Real Numbers Class 10 Assertion Reason Questions Maths Chapter 1
🚀 Boost Your Exam Prep: Get assertion reason questions for all subjects (Class 6-12) now!
👉 Explore more resources on CBSE Class 10
Topics from which assertion reason questions may be asked
- Euclid’s Division Lemma
- Fundamental Theorem of Arithmetic
- LCM and HCF
- Irrational and Rational Numbers
The Fundamental Theorem of Arithmetic is key to understanding divisibility and prime factorization.
Assertion reason questions from the above given topic may be asked.
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Frequently Asked Questions (FAQs) on Real Numbers Assertion Reason Questions Class 10
Q1: What does the chapter ‘Real Numbers’ cover?
A1: It builds key concepts related to real numbers and prepares you for logical reasoning-based questions.
Q2: What are assertion reason questions?
A2: These consist of two statements: an assertion and a reason. Students need to determine their correctness and relationship.
Q3: Why practice assertion reason questions in Real Numbers?
A3: They strengthen core concepts and boost confidence in tackling tricky scenarios from real numbers.
Q4: Are assertion reason questions part of CBSE board exams?
A4: Yes, they are included under competency-based formats to test depth of understanding.
