IPMAT Indore 2022 (SA) - Let 50 distinct positive integers be chosen such that the highest among them is 100, and the average of the largest 25 integers among them exceeds the average of the remaining integers by 50. Then the maximum possible value of the sum of all the 50 integers is _________. | PYQs + Solutions | AfterBoards
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IPMAT Indore 2022

Arithmetic
>
Averages

Medium

Let 50 distinct positive integers be chosen such that the highest among them is 100, and the average of the largest 25 integers among them exceeds the average of the remaining integers by 50. Then the maximum possible value of the sum of all the 50 integers is _________.

Entered answer:

Correct Answer: 3150

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