Then the average of such m + n numbers is

If the average of m numbers is n2 and that of n numbers is m2, then the average of such m + n numbers is
(a) mn
(b) m + n
(c) m/n
(d) (m + n)/2

Anurag Mishra Professor Asked on 1st April 2016 in Reasoning Questions.
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1 Answer(s)

Answer: (a) m n

Solution:-
The average of m numbers = n2
Therefore, the sum of m numbers = m x n2

The average of n numbers = m2
Therefore, the sum of n numbers = n x m2

Total sum of m and n numbers = (m x n2 + n x m2)
= m n (n + m)

Then, the total average of m and n numbers = m n (n + m)/(n + m)
= m n

Hence, the correct answer is option (a) m n.

Anurag Mishra Professor Answered on 2nd April 2016.
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