The number b yields a remainder p when divided by 15 and a remainder q when divided by 7. If p = q + 7, then which one of the following could be the value of b ? Choose the most appropriate option:
A) 45	B) 52	C) 66	D) 80	E) 96
I solved this question in the following way:   Q&lt;7 so Q can be from 0 to 6 and P&lt;15 so P can be from 0 to 14, BUT the constraint is P=Q +7 so this will mean that P can be in the range from 7 to 14.   b=15k + P or b= 15k + 7 to 14 and look at the answer as, place different values for k, 52 will give 52 which is 15*3 + 7, the other answers are out of the range
<result>B</result>
The number b yields a remainder p when divided by 15 and a remainder q when divided by 7. If p = q + 7, then which one of the following could be the value of b ?