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Find the greatest number which on dividing 1657 and 2037 leaves remainders 6 and 5 respectively.

A. 129

B. 136

C. 127

D. 199

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Correct Answer :

C. 127


Required number = H.C.F. of (1657 - 6) and (2037 - 5) = H.C.F. of 1651 and 2032
H.C.F of 1651 and 2032 =127

Required number = 127.

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