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Read the following and answer the questions that follow.
If 5 people are transferred from A to B and another independent set of 5 people are transferred back from B to
A, then after this operation (Assume that the set transferred from B to A contains none from the set of students that
came to B from A)
At the end of the 2 steps mentioned above (in the direction) what could be the maximum value of the average of class B?
  • a)
    25.4
  • b)
    2 5
  • c)
    24.8
  • d)
    24.6
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Read the following and answer the questions that follow.If 5 people ar...
The maximum possible value for B will happen when the A to B transfer has the maximum possible valueand the reverse transfer has the minimum possible
value.
Free Test
Community Answer
Read the following and answer the questions that follow.If 5 people ar...
Question Analysis:
We are given that 5 people are transferred from A to B and another independent set of 5 people are transferred back from B to A. We need to determine the maximum value of the average of class B after these operations are performed.

Given:
- 5 people are transferred from A to B.
- Another independent set of 5 people are transferred back from B to A.

Approach:
To find the maximum value of the average of class B, we need to maximize the total number of students in class B while minimizing the total number of students in class A. Let's analyze the given steps one by one.

1. Transferring 5 people from A to B:
- Let's assume there are initially x students in class A and y students in class B.
- After transferring 5 people from A to B, the new number of students in class A will be x-5 and the new number of students in class B will be y+5.

2. Transferring 5 people from B to A:
- Let's assume there are now x-5 students in class A and y+5 students in class B.
- After transferring 5 people from B to A, the new number of students in class A will be x-5+5 = x and the new number of students in class B will be y+5-5 = y.

Calculating the average of class B:
- The average of class B is given by the formula: Average B = Total B / Number of students in B.
- We can express the total number of students in class B as (y+5) since 5 students were initially transferred from A to B.
- We can express the number of students in class B as y since 5 students were transferred back from B to A.

Calculation:
Let's calculate the maximum value of the average of class B using the given steps.

1. Initially, let's assume there are 0 students in class A and 0 students in class B.
2. After transferring 5 people from A to B, the new number of students in class A will be 0-5 = -5 and the new number of students in class B will be 0+5 = 5.
3. After transferring 5 people from B to A, the new number of students in class A will be -5+5 = 0 and the new number of students in class B will be 5-5 = 0.

We can see that after these operations, both class A and class B will have 0 students. In this case, the average of class B will be undefined since we cannot divide by 0.

Therefore, the maximum value of the average of class B after these operations cannot be determined. The correct answer is "None of the above."

Conclusion:
The maximum value of the average of class B after transferring 5 people from A to B and then transferring 5 people from B to A cannot be determined. The correct answer is "None of the above."
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Read the following and answer the questions that follow.If 5 people are transferred from A to B and another independent set of 5 people are transferred back from B toA, then after this operation (Assume that the set transferred from B to A contains none from the set of students thatcame to B from A)At the end of the 2 steps mentioned above (in the direction) what could be the maximum value of the average of class B?a)25.4b)2 5c)24.8d)24.6Correct answer is option 'C'. Can you explain this answer?
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