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Find the greatest number which divides 285 and 1249 leaving the remainder 9 and 7 respectively.

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135

136

137

138

answer is D.

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Detailed Solution

Concept- When remainder is subtracted from dividend the resultant is divisible by the divisor. So, we must first find the divisible numbers and the HCF of the two numbers will be the answer.
A remainder 9 is obtained when 285 is divided.

A remainder 7 is obtained when 1249 is divided.

The greatest number that divides 285 and 1249 with a remainder 9 and 7 will be the HCF of 276 and 1242.
Factors of 276:

Factors of 1242:

HCF of 276 and 1242 =

Hence, the correct answer is option 4.

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