The greatest number which on dividing 1657 and 2037 leaves remainders 6 and 5 respectively, is :	Choose the correct choice from the following options.
A) 123 B) 127 C) 235 D) 305 E) None of these
Solution   Required number = H.C.F. of (1657 - 6) and (2037 - 5)   = H.C.F. of 1651 and 2032 = 127. Answer 127
<result>B</result>
The greatest number which on dividing 1657 and 2037 leaves remainders 6 and 5 respectively, is :