Question

The mean of p, q and r is same as the mean of q, 2r and s. Then which of the following is correct?

(a) p = q = r (b) q = r = s (c) q = r (d) p = r + s

Answer 1

Mean of p, q and r = Mean of q, 2r and s
$$\begin{gathered} \frac{p+q+r}{3}=\frac{q+2r+s}{3} \\ \Rightarrow p+q+r=q+2r+s \\ \Rightarrow p=r+s \end{gathered}$$
Hence, the correct option is (d).