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Read the following and answer the question that follow.
If 5 people are transferred from E to R and another independent set of 5 people are transferred back from R to E, then after this operation (Assume that the set transferred from R to E contains none from the set of students that came to R from E)
Q. At the end of the 2 steps mentioned above (in the direction) what could be the maximum value of the average of class R?
  • a)
    25.4
  • b)
    25
  • c)
    24.6
  • d)
    24.8
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Read the following and answer the question that follow.If 5 people ar...
The maximum possible value for R will happen when the E to R transfer has the maximum possible value and the reverse transfer has the minimum possible value.
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Read the following and answer the question that follow.If 5 people ar...
Calculating the maximum average of class R after the transfers:
- Initially, let's assume the average age of class R is 'x'.
- After transferring 5 people from E to R, the total number of people in R increases by 5.
- Now, after transferring 5 people back from R to E, the total number of people in R remains the same as before.
- However, the total age in class R has increased as the 5 people transferred from E to R are older than the 5 people transferred back.
- This means that the average age of class R has increased after the transfers.

Finding the maximum possible average:
- Let's assume the average age of the 5 people transferred from E to R is y.
- Since these 5 people are older than the average age of class R, y > x.
- Now, after transferring these 5 people back to E, the average age of class R will increase by (y - x)/5.
- To maximize this increase, we need to maximize the value of y.
- The maximum value of y can be achieved by making it equal to the maximum possible age in the group.
- Therefore, the maximum value of y is the maximum possible age of a person in the group.
- Hence, the maximum possible average of class R after the transfers is x + (maximum possible age - x)/5.

Conclusion:
- The correct answer is option 'D' (24.8), as it represents the maximum value of the average age of class R after the transfers.
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Read the following and answer the question that follow.If 5 people are transferred from E to R and another independent set of 5 people are transferred back from R to E, then after this operation (Assume that the set transferred from R to E contains none from the set of students that came to R from E)Q. At the end of the 2 steps mentioned above (in the direction) what could be the maximum value of the average of class R?a) 25.4b) 25c) 24.6d) 24.8Correct answer is option 'D'. Can you explain this answer?
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