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### Question

If the average of p and q is 24, the average of q and r is 52, and of r and p is 60, then what is the value of p?

**A**

32.

**B**

33.

**C**

31.

**D**

34.

**Soln.**

**Ans: a**

We have three equations (p + q)/2 = average of pq, (q + r)/2 = average of qr and (r + p)/2 = average of rp. Adding these three we get p + q + r = (average of pq + average of qr + average of rp) = (24 + 52 + 60) = 136. So p = 136 - (q + r) = 136 - (2 × average of q and r) = 136 - 2 × 52 = 32.