A number when divided by a certain divisor left remainder 251, when twice the number was divided by the same divisor, the remainder was 112. Find the divisor?
Choose the correct choice from the following choices
A) 370	B) 365	C) 390	D) 456	E) 460

Rationale: "easy solution : n = dq 1 + 251 2 n = 2 dq 1 + 502 - ( 1 ) 2 n = dq 2 + 112 - ( 2 ) as ( 1 ) = ( 2 ) = 2 n d * ( q 2 - 2 q 1 ) = 390 d * some integer = 390 checking all options only ( c ) syncs with it . answer c"
Answer: C