CAT 2022 Inequalities Question (Medium)

Question

If and are non-negative real numbers such that , then the average of the maximum and minimum possible values of is

Accepted Answer

Step 1 Given , with We need the average of max and min values of Rewriting Then, As varies from 0 to 3 since , varies from 6 to 3 Max value 6, Min value 3 Average 6 3 2 4.5 Final Answer 4.5

CAT 2022

Quantitative

Inequalities

Medium

If $a$ and $b$ are non-negative real numbers such that $a+2 b=6$ , then the average of the maximum and minimum possible values of $(a+b)$ is

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