Solved UPSC CDS/OTA Question
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Q · Average Medium · 45s
The batting average of a batsman in 40 innings is 50 runs. If the difference between his highest and lowest score is 172. If these both innings are not taking into consideration then the average becomes 48. Find his highest score?
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.
Sum of 40 innings = 40 x 50 = 2000
Average after lowest and highest innings are not considered
Sum of 38 innings = 48 x 38 = 1824
Difference of both = 176
H + L = 176
H – L = 172
so, H= 174
Final Answer: Option A — 176