Real Numbers
NCERT Exemplar
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: The required number is $\text{HCF}(70 - 5, 125 - 8) = \text{HCF}(65, 117)$.
Numbers to be divided completely are $70 - 5 = 65$ and $125 - 8 = 117$. [0.5 Mark]
$\text{HCF}(65, 117) = 13$. [0.5 Mark]
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🎯 Official CBSE Marking Scheme:
Correct subtraction of remainders: 0.5 Mark
Correct HCF: 0.5 Mark
Correct Answer: $13$
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