Real Numbers
RD Sharma
CBSE
Grade 10
Question:
The largest number which divides $70$ and $125$, leaving remainders $5$ and $8$ respectively, is:
(a) $13$
(b) $65$
(c) $875$
(d) $1750$
Step-by-Step Solution
Key Concept: $\text{HCF}(70-5, 125-8) = \text{HCF}(65, 117) = 13$.
$70 - 5 = 65$ and $125 - 8 = 117$. $\text{HCF}(65, 117) = 13$. [1.0 Mark]
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🎯 Official CBSE Marking Scheme:
Finding $\text{HCF}(65, 117) = 13$: 1.0 Mark
Correct Answer: $13$
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