CBSE 2025 · Region 6 · Set 1 · Q19 · 1 mark
Assertion (A) : For any two prime numbers p and q, their HCF is $\displaystyle 1$ and LCM is p + q.
Reason (R) : For any two natural numbers, HCF × LCM = product of numbers.
Official answer
From CBSE’s own marking scheme for this paper.
(D)
Assertion (A) is false, but Reason (R) is true.
Real NumbersHCF and LCM by Prime FactorisationAnalyseassertion_reasonmedium
More from Real Numbers
- (1+√3)^2-(1-√3)^2 is:2025 · asked 3×
- If x is the LCM of 4,6, 8 and y is the LCM of 3,5, 7 and p is the LCM of x and y, then which of the following…2025 · asked 3×
- Prove that √3 is an irrational number. OR State true or false for each of the following statements and…2025 · asked 3×
- √0.4 is a/an2025 · asked 3×
- (√3+2)^2+(√3-2)^2 is a/an2025 · asked 3×
- Prove that √5 is an irrational number. OR Let p, q and r be three distinct prime numbers. Check whether p · q…2025 · asked 3×
- Prove that √2 is an irrational number. OR Let x and y be two distinct prime numbers and p=x^2 y^3, q=x y^4,…2025 · asked 3×
- Find the smallest number which is divisible by both 644 and 462. OR Two numbers are in the ratio 4: 5 and…2025 · asked 3×
CBSE Class 10 Mathematics past-paper question from the 2025board exam, with the answer as CBSE’s own marking scheme gives it. Where our answers come from.