CAT 2019 Averages Question (Medium)

Question

The average of 30 integers is 5. Among these 30 integers, there are exactly 20 which do not exceed 5. What is the highest possible value of the average of these 20 integers?

Accepted Answer

Step 1 Understand the Given Information and Define Variables Total number of integers 30. Average of 30 integers 5. Sum of 30 integers . Exactly 20 integers do not exceed 5. This means these 20 integers are . The remaining integers must be . Step 2 Maximize the Sum of the 20 Integers To maximize the

CAT 2019

Quantitative

Averages

Medium

The average of 30 integers is 5. Among these 30 integers, there are exactly 20 which do not exceed 5. What is the highest possible value of the average of these 20 integers?

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