IIFT 2019 Question Paper | Quants

CAT Questions

The best way to boost your IIFT prep is to practice the actual IIFT Question Papers. 2IIM offers you exactly that, in a student friendly format to take value from this. In the 2019 IIFT, quants were a mixed bag of questions of varying difficulty, with some routine questions and the others were very demanding. Some beautiful questions that laid emphasis on Learning ideas from basics and being able to comprehend more than remembering gazillion formulae and shortcuts.

Question 11: A cricket team has 11 players and each of them has played 20 matches till date. Virat, Rohit, Mahendra, Rahul and Shikhar have scored runs at an average of 60, 55, 50, 45 and 40 respectively. Rest of the players have scored at an average of 25 each. In the next 10 matches, Virat and Rohit each scored 900 runs whereas Mahendra scored twice that of Rahul. After 30 matches, if Virat's new average score is twice that of Rahul, what is the approximate average score of Mahendra?

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Video Explanation

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Explanatory Answer

The question links Virat's data to Mahendra's and Rahul's data, and all the other information is stray information.

Virat's total runs = (20 * 60) + 900
= 2100

Virat's average = \\frac{2100}{30}) = 70, which is twice of Rahul's average.
So, Rahul's average in 30 matches = (runs in first 20 matches + runs in last 10 matches)
(900 + L₁₀)/30 = 35

900 + last 10 matches = 1050

So in the last 10 matches Rahul has scores 150 runs.
Mahendra scored twice that of Rahul in the last 10 matches,
So, mahendra scored 300 runs in the last 10 matches

Average runs scored by Mahendra = \\frac{(50*20) + 300}{30})
= \\frac{1300}{30})
=43.33
So, approximately 43

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The question is "After 30 matches, if Virat's new average score is twice that of Rahul, what is the approximate average score of Mahendra?"

Hence, the answer is, "43"