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Question 34 : Ramesh and Gautam are among 22 students who write an examination. Ramesh scores 82.5. The average score of the 21 students other than Gautam is 62. The average score of all the 22 students is one more than the average score of the 21 students other than Ramesh. The score of Gautam is

- 51
- 53
- 49
- 48

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It is given that, a1, a2, a3,..... Ramesh, Gautham, ...., a22 writes an examination

Given that, Average score of the 21 students other than Gautham = 62

So, Total Score - Gautham's score = 62 x 21

Ramesh scored 82.5

It is given that, when Ramesh leaves, the average score drops down by 1 mark.

Which means that Ramesh scored more than the Overall class average.

Since his departure has resulted in the decrease of the overall class average by 1, his score is 21 more than the average.

Overall Class average = 82.5 - 21 = 61.5 marks

Total Score - Gautham's score = 62 x 21

61.5 x 22 - 62 x 21 = Gautham's score

1353 - 1302 = Gautham's score

Gautham's score = 51 marks

The question is **"Ramesh and Gautam are among 22 students who write an examination. Ramesh scores 82.5. The average score of the 21 students other than Gautam is 62. The average score of all the 22 students is one more than the average score of the 21 students other than Ramesh. The score of Gautam is " **

**Choice A** is the correct answer.

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