CAT 2019 Question Paper | Quants Slot 1

CAT Questions

CAT 2019 probably had 1 message for all- Get your arithmetic concepts right and you are sorted for half the CAT syllabus at least. The topic under arithmetic gives the best bang for the buck in term of preparation required versus the marks scored. The questions in CAT are solvable with good preparation & they are not curveballs from Arithmetic. Solve as many arithmetic questions from CAT previous year question papers to ensure you are on top of your CAT Preparation.

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

1. 51
2. 53
3. 49
4. 48

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Video Explanation

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Explanatory Answer

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

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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 "

Hence, the answer is 51

Choice A is the correct answer.