Solved UPSC CDS/OTA Question
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Q · Average Medium · 45s
The average weight of 8 persons is increased by 2.5 kg, when one of them who weighs 56 kg is replaced by a new man. Find the weight of a new man?
TopicAverage
Question Typemultiple choice
DifficultyMedium
Marking+1 / −0.33
Test Duration30 min
Step-by-Step Solution
The complete worked solution.
Every step explained — no skipped algebra.
Let initial average be x
So, initial sum = 8x
Let the weight of new man be y
Then, 8x - 56 + y = 8(x + 2.5)
y = 20 + 56 = 76
So the weight of new man = y = 76
Final Answer: Option B — 76 kg