66th B.P.S.C. (Pre) 2020
If the average of m numbers is n² and the average of n numbers is m², then the average of m + n numbers is-
a$\frac{n}{m}$
b$\frac{m}{n}$
cm n✓ Correct
dm – n
eNone of the above/More than one of the above
Explanation
Required Average = $\frac{mn^2 + nm^2}{(m + n)}$ = $\frac{mn(n + m)}{(m + n)}$ = m n
general-mental-ability