**If p,q,r and S are distinct single digit positive numbers ,Then what is the greatest value of (P + q)(r+s)?**

**230****225****224****221**

To find the greatest value of (P + q)(r + s), we need to determine the highest possible values for P, Q, R, and S.

Since P, Q, R, and S are distinct single-digit positive numbers, the highest values we can assign are:

P = 9

Q = 6

R = 7

S = 8

Substituting these values into the expression (P + Q)(R + S), we have:

(9 + 6)(7 + 8) = 15 * 15 = 225

Therefore, the greatest value of (P + Q)(R + S) is 225

**The correct answer is: 225**