I can solve the below question by putting the each possibility into the questions conditions but I want to find out the value without putting the possibility .
The number m yields a remainder p when divided by 14 and a remainder q when divided by 7. If p = q + 7, then which one of the following could be the value of m ?
(A) 45 (B) 53 (C) 72 (D) 85 (E) 100
Since p = q + 7, the quickest way is to find the remainder p, if it is less than 7, remove the choice, if p is equal to or greater than 7 and less than 13 then check q. And, there is no unique solution!