CAT 2022 Averages Question (Medium)

Question

Consider six distinct natural numbers such that the average of the two smallest numbers is 14, and the average of the two largest numbers is 28. Then, the maximum possible value of the average of these six numbers is

Accepted Answer

Step 1 Let the numbers be in increasing order Given , We want to maximize the average i.e., maximize Step 2 Minimize , smallest possible with sum 28 To maximize , choose them just below , Then take , Step 3 Sum Average Final Answer The maximum possible average is 22.5

CAT 2022

Quantitative

Averages

Medium

$Consider six distinct natural numbers such that the average of the two smallest numbers is 14, and the average of the two largest numbers is 28. Then, the maximum possible value of the average of these six numbers is$

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