a and b, when divided by 7 and 6 respectively, leave remainders p and q respectively. What is the maximum value of p + q?

A. 5

B. 6

C. 12

D. 11

D. 11

There exist integers m and n such that a = 7m + p and b = 6n + q such that

0<p<7⇒

Maximum value of p will be 6.

0<q<6⇒

Maximum value of p will be 5.

Therefore, the maximum value of p + q will be 11.

a and b, when divided by 7 and 6 respectively, leave remainders p and q respectively. What is the maximum value of p + q? , a and b, when divided by 7 and 6 respectively, leave remainders p and q respectively. What is the maximum value of p + q?