Real Numbers
RD Sharma
CBSE
Grade 10
Question:
If $\text{HCF}(65, 117)$ is expressible in the form $65m - 117$, then the value of $m$ is:
(a) $4$
(b) $2$
(c) $1$
(d) $3$
Step-by-Step Solution
Key Concept: $\text{HCF}(65, 117) = 13 \Rightarrow 65m - 117 = 13 \Rightarrow 65m = 130 \Rightarrow m = 2$.
$65 = 5 \times 13$, $117 = 9 \times 13 \Rightarrow \text{HCF} = 13$. [0.5 Mark]
$65m - 117 = 13 \Rightarrow 65m = 130 \Rightarrow m = 2$. [0.5 Mark]
---
🎯 Official CBSE Marking Scheme:
Finding HCF $= 13$: 0.5 Mark
Solving for $m = 2$: 0.5 Mark
Correct Answer: $2$
Confused by the solution? Ask the AI to explain a specific step, tell you where you went wrong, or break down the key trap in this question.