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Class 10 Maths Chapter 1: Real Numbers Assertion-reason questions with answers

2 assertion-reason questions on Real Numbers, each with its answer and the reason, written from the NCERT chapter. Open a question's solution to check your working; then take the free test to find your next chapter. Each question gives an Assertion (A) and a Reason (R); choose how they stand to each other.

Question 1
Assertion (A): 25n cannot end with the digit 0 for any natural number n. Reason (R): The prime factorisation of 25n contains no factor 2.
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Answer: (a) Both A and R are true, and R is the correct explanation of A.

A number ending in 0 is divisible by 10 and needs both 2 and 5 among its primes. 25n = 52n and, by uniqueness, has no 2. Both true; R explains A.

Question 2
Assertion (A): HCF(35, 64) = 1. Reason (R): Every prime number has exactly two factors.
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Answer: (b) Both A and R are true, but R is not the correct explanation of A.

35 = 5 × 7 and 64 = 26 share no prime, so the HCF is 1: A is true. R is true, but A follows from the factorisations having no common prime, not from R.

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Chapter 2: Polynomials →