Real Numbers
CBSE 2026 Board Exam Set 1 (Code 30/1/1)
CBSE_BOARD_PYQ_2026_30_1_1
Grade 10
Question:
[Section A]
If two positive integers $p$ and $q$ are written as $p = a^2 b^3$ and $q = a^3 b$, where $a, b$ are prime numbers, then $\text{HCF}(p, q)$ is:
(A) $a b$
(B) $a^2 b$
(C) $a^3 b^3$
(D) $a^2 b^2$
Step-by-Step Solution
Key Concept: HCF is the product of the smallest powers of each common prime factor.
Sol. (B) $a^2 b$. [1.0 Mark]
Correct Answer: (B) $a^2 b$
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