The number x yields a remainder p when divided by 13 and a remainder q when divided by 7. If p = q + 7, then which one of the following could be the value of x ?  Choose the correct choice from the following choices
A) 45  B) 36  C) 72  D) 85  E) 100
I solved this question in the following way:   Q&lt;7 so Q can be from 0 to 4 and P&lt;13 so P can be from 0 to 12, BUT the constraint is P=Q +7 so this will mean that P can be in the range from 7 to 12.   x=13k + P or x= 13k + 7 to 12 and look at the answer as, place different values for k, 36 will give 36 which is 13*2 + 10, the other answers are out of the range
<result>B</result>
The number x yields a remainder p when divided by 13 and a remainder q when divided by 7. If p = q + 7, then which one of the following could be the value of x ?