If 10-10 elements are transferred from Set A to Set B,then Set B to Set C and then from Set C to Set A but the received elements cannot be transferred to the next set. e.g. the elements obtained from Set A cannot be transferred to C through Set B. The average of which Set is maximum

Options

A. (a) A
B. (b) B
C. (c) C
D. (d) can't be determined

Answer

To solve the problem, we need to analyze the transfer of elements between the sets and how it affects their averages. Let's break it down step by step.

### Step-by-Step Solution:

1. **Understanding the Sets and Transfers**:
- Let’s denote the initial averages of Set A, Set B, and Set C as \( A_1 \), \( B_1 \), and \( C_1 \) respectively.
- We are transferring 10 elements from Set A to Set B, from Set B to Set C, and from Set C back to Set A.

2. **Transfer from Set A to Set B**:
- When 10 elements are transferred from Set A to Set B, the average of Set A changes. Let’s denote the new average of Set A after the transfer as \( A_2 \).
- The average of Set B also changes after receiving the 10 elements. Let’s denote the new average of Set B as \( B_2 \).

3. **Transfer from Set B to Set C**:
- Next, Set B transfers 10 elements to Set C. The average of Set B changes again to \( B_3 \), and Set C’s average changes to \( C_2 \).

4. **Transfer from Set C back to Set A**:
- Finally, Set C transfers 10 elements back to Set A. The average of Set C changes to \( C_3 \), and Set A’s average changes to \( A_3 \).

5. **Constraints on Transfers**:
- The key point here is that the elements received from the previous set cannot be transferred to the next set. This means that the elements transferred from Set A to Set B cannot be transferred again from Set B to Set C, and so on.

6. **Determining the Maximum Average**:
- Since we do not have specific values for the initial averages \( A_1 \), \( B_1 \), and \( C_1 \), we cannot definitively calculate the new averages after the transfers.
- The averages of the sets depend on the specific values of the elements in each set, which are not provided.

7. **Conclusion**:
- Therefore, without knowing the initial averages or the values of the elements in each set, we cannot determine which set has the maximum average after all the transfers.

### Final Answer:
The answer is that it **cannot be determined** which set has the maximum average.