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IPMAT Indore 2022 - QA (SA) Q14 Explanation

Author : Akash Kumar Singh

December 27, 2024

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Explanation:

(3150)

We have to find maximum value of the sum of 50 numbers.

Highest of all the distinct 50 numbers, is 100.

So, in order to maximum the sum of all 50 numbers, highest 25 numbers should be 76, 77, 78,…..,100.

There average of these 25 numbers will be 88.

According to the question, rest of the 25 numbers should have their average 88 – 50 = 38

Thus, the sum of those 25 numbers will be 38x25.

Sum of all these 50 nos. = 25 × 88 + 25 × 38

= 25 × 126

= 3150