A number when divided by a certain divisor left remainder 241, when twice the number was divided by the same divisor, the remainder was 102. Find the divisor? Choose the correct choice from the following options:
A) 370  B) 365  C) 380  D) 456  E) 460

Rationale: "easy solution : n = dq 1 + 241 2 n = 2 dq 1 + 482 - ( 1 ) 2 n = dq 2 + 102 - ( 2 ) as ( 1 ) = ( 2 ) = 2 n d * ( q 2 - 2 q 1 ) = 380 d * some integer = 380 checking all options only ( c ) syncs with it . answer c"
Answer: C