The greatest number which on dividing 1657 and 2037 leaves remainders 6 and 5 re

Question

The greatest number which on dividing 1657 and 2037 leaves remainders 6 and 5 respectively, is:

Options:

A . 123

B . 127

C . 235

D . 305

Answer: Option B

Required number = H.C.F. of (1657 - 6) and (2037 - 5)

= H.C.F. of 1651 and 2032 = 127.

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