Assertion Reason Questions for Class 10 Maths Chapter 1 Real Numbers
Here we are providing Assertion Reason Questions for Class 10 Maths Chapter 1 Real Numbers. Students can practice these questions for better understanding of the topics. This will also help to perform better in the examination.
Direction: In the following questions, a statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as:
(a) Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
(b) Both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of
Assertion (A).
(c) Assertion (A) is true but Reason (R) is false.
(d) Assertion (A) is false but Reason (R) is true.
Q.1. Assertion: The H.C.F. of two numbers is 16 and their product is 3072. Then their L.C.M. = 162.
Reason: If a and b are two positive integers, then H.C.F. × L.C.M. = a × b.
Answer
Answer: (d) Assetion (A) is false but Reason (R) is true.Explanation: Since HCF × LCM = a × b
⇒ 3072 = 16 × 162
⇒ 3072 ≠ 2592
Q.2. Assertion: Denominator of 34.12345. When expressed in the form p/q, q ≠ 0, is of the form
2^{m} × 5^{n}, where m and n are nonnegative integers.
Reason: 34.12345 is a terminating decimal fraction.
Answer
Answer: (a)Q.3. Assertion: 13/3125 is a terminating decimal fraction.
Reason: If q = 2^{n}.5^{m} where n and m are nonnegative integers, then p/q is a terminating decimal fraction.
Answer
Answer: (a)Q.4. Assertion: When a positive integer a is divided by 3, the values of remainder can be 0, 1 or 2.
Reason: According to Euclid’s Division Lemma a = bq + r, where 0 ≤ r < b and r is an integer.
Answer
Answer: (a)Given positive integers A and B, there exists unique integers Q and R satisfying a = bq + r, where 0 ≤ r < b.
This is known as Euclid’s Division Lemma.
Q.5. Assertion: A number N when divided by 15 gives the remainder 2. Then the remainder is same when N is divided by 5.
Reason: √3 is an irrational number.
Answer
Answer: Explanation: Let we take three numbers which are divisible by 5 and 15 both, are 30, 45, 60.Now, we add the remainder 2, we get 32, 47, 62
Therefore, we can see that as one numbers are divisible
by 5 & 15 but remainder is same as 2.
You may also like:

Assertion Reason Questions for Class 10 Maths Chapter 1 Real Numbers
Assertion Reason Questions for Class 10 Maths Chapter 1 Real Numbers Here we are providing Assertion Reason Questions for Class 10 Maths Chapter 1 Real Numbers. Students can practice these questions for better understanding of the topics. This will also help to perform better in the examination. Direction: In the following questions, a statement of … Continue reading Assertion Reason Questions for Class 10 Maths Chapter 1 Real Numbers

Assertion and Reason Questions for Class 10 Maths Chapter 6 Triangles
Assertion and Reason Questions for Class 10 Maths Chapter 6 Triangles Directions: In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:(a) Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).(b) Both assertion (A) and … Continue reading Assertion and Reason Questions for Class 10 Maths Chapter 6 Triangles

Assertion and Reason Questions for Class 10 Maths Chapter 7 Coordinate Geometry
Assertion and Reason Questions for Class 10 Maths Chapter 7 Coordinate Geometry Directions: In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as: (a) Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).(b) Both assertion … Continue reading Assertion and Reason Questions for Class 10 Maths Chapter 7 Coordinate Geometry

Assertion and Reason Questions for Class 10 Maths Chapter 8 Introduction to Trigonometry
Assertion and Reason Questions for Class 10 Maths Chapter 8 Introduction to Trigonometry Directions: In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:(a) Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).(b) Both … Continue reading Assertion and Reason Questions for Class 10 Maths Chapter 8 Introduction to Trigonometry

Assertion and Reason Questions for Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables
Assertion and Reason Questions for Class 10 Maths Chapter 3 Linear Equations in Two Variables Directions: In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:(a) Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion … Continue reading Assertion and Reason Questions for Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables

Assertion and Reason Questions for Class 10 Maths Chapter 2 Polynomials
Assertion and Reason Questions for Class 10 Maths Chapter 2 Polynomials Directions: In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:(a) Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).(b) Both assertion (A) … Continue reading Assertion and Reason Questions for Class 10 Maths Chapter 2 Polynomials