Question

If p and q are all positive integers and the maximum integer not greater than

31p/8q is 5, find the
minimum value of p +q .

Answer 1

• 71

Explanation:

As per question we have:

• p > 0, q > 0
• 31p/8q ≤ 5 ⇒ 31p ≤ 40q

Since 31 and 40 have no common factors, the minimum values of p and q are 40 and 31 respectively.

So the minimum value of p + q is:

• 40 + 31 = 71