The number a yields a remainder p when divided by 11 and a remainder q when divided by 7. If p = q + 7, then which one of the following could be the value of a ?	Choose the correct choice.
A) 45
B) 43
C) 72
D) 85
E) 100
I solved this question in the following way:   Q&lt;7 so Q can be from 0 to 6 and P&lt;11 so P can be from 0 to 10, BUT the constraint is P=Q +7 so this will mean that P can be in the range from 7 to 10.   a=11k + P or a= 11k + 7 to 10 and look at the answer as, place different values for k, 43 will give 43 which is 11*3 + 10, the other answers are out of the range
<result>B</result>
The number a yields a remainder p when divided by 11 and a remainder q when divided by 7. If p = q + 7, then which one of the following could be the value of a ?