Solved UPSC CDS/OTA Question
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Q · Average Medium · 45s
The average runs scored by a cricketer in 42 innings is 30. The difference between his maximum and minimum score in an innings is 100. If these two innings are not taken into consideration, then the average score of the remaining 40 innings is 28. Calculate the maximum runs scored by him in an innings?
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 the minimum score = x.
∴ Maximum score = x + 100
∴ x + (x + 100) = 30 × 42 – 40 × 28
⇒ 2x + 100 = 1260 – 1120 = 140
⇒ 2x = 140 – 100 = 40
∴ x = 20
Hence, the maximum score = x + 100
= 20 + 100 = 120
Final Answer: Option B - 120