SSC GD Constable 6 Feb 2025 Shift 1 Paper

Section: Elementary Mathematics

Question : 56 of 80

Marks: +1, -0

What is the greatest number which when divides 92 and 215, leaves remainders 7 and 11, respectively?

Solution:

The required number is the HCF (Highest Common Factor) of:
(92-7) and (215-11).
Calculations:

92-7=85

215-11=204

Find

{\HCF}(85,204)

.
Prime factorization:

85=5 × 17

204=2 × 2 × 3 × 17

Common factor: 17

⇒ HCF=17

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