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UPSC Prelims

Mathematics

Theme:

Average / औसत

Q80 2022, Average

The average weight of A, B, C is 40 kg. The average weight of B, D, E is 42 kg and the weight of F is equal to that of B. What is the average weight of A, B, C, D, E and F?

A, B, C का औसत भार 40 kg है; B, D, E का औसत भार 42 kg है और F का भार B के भार के बराबर है। A, B, C, D, E और F का औसत भार क्या है?

Explanation Please wait..

As per the question B = F.

Average weight of B, D, E is 42. Replace B by F here.

We have, average weight of F, D and E is 42. (F+D+E/3)

Again, It is given that average weight of A, B, C is 40.

A+B+C = 120 and D +E +F = 126.

Total of A to F (A+B+C+D+E+F) = 120 + 126 = 246.

So, average = 246/6 = 41.

Alternately you can do it by allegation method.

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