A number when divided by a certain divisor left remainder 245, when twice the number was divided by the same divisor, the remainder was 112. Find the divisor?  Choose the most appropriate option:  A) 378  B) 365  C) 380  D) 456  E) 460
Easy solution:   N= Dq1+245   2N = 2Dq1 + 490 - (1)   2N = Dq2 + 112 - (2)   As (1) = (2) = 2N   D*(q2-2q1) = 378   D * Some integer = 378   Checking all options only (A) syncs with it.   378nswer 378
<result>A</result>
A number when divided by a certain divisor left remainder 245, when twice the number was divided by the same divisor, the remainder was 112. Find the divisor?