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The average of eight numbers is 20. The average of five of these numbers is 12. The average of the remaining three numbers is
Question

The average of eight numbers is 20. The average of five of these numbers is 12. The average of the remaining three numbers is

A.

33.33

B.

34.33

C.

35.33

D.

32.33

Correct option is A

Given:

Average of 8 numbers = 20

Average of five of these numbers = 12

Formula Used:

Average =Sum of observationsNumber of observations \frac{Sum\ of \ observations}{Number\ of \ observations}​​

Solution:

Total of 8 numbers  = 8 ×\times​ 20  = 160

Total of 5 numbers = 5 ×\times ​12 = 60

Total of remaining numbers = 160 - 60 = 100

Average of remaining numbers =1003=3313 or 33.333= \frac{100}{3} =33\frac{1}{3}\ or\ 33.333​​

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