Real Numbers
NCERT Exemplar Ch 01
CBSE_NCERT_EXEMPLAR_CH01
Grade 10
Question:
The largest number which divides $70$ and $125$, leaving remainders $5$ and $8$ respectively, is:
$13$
$65$
$875$
$1750$
Step-by-Step Solution
Key Concept: The required number is $\text{HCF}(70 - 5, 125 - 8) = \text{HCF}(65, 117)$.
Stepwise Solution:
Numbers to be divided completely are $70 - 5 = 65$ and $125 - 8 = 117$. [0.5 Mark]
$\text{HCF}(65, 117) = 13$. [0.5 Mark]
Marking Scheme:
• Correct subtraction of remainders: 0.5 Mark
• Correct HCF: 0.5 Mark
Correct Answer: $13$
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