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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. What could be the minimum possible average of class E at the end of the operation?
  • a)
    21.4
  • b)
    20.25
  • c)
    28.5
  • d)
    19.2
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Read the following and answer the question that follow.If 5 people ar...
The minimum possible average will happen for the transfer we saw in Q. 3. Thus the answer will be 405 / 20 = 20.25.
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Most Upvoted Answer
Read the following and answer the question that follow.If 5 people ar...

Explanation:

Initial Average of Class E:
- Let's assume the initial average of class E is x.

Transferring 5 people from E to R:
- If 5 people are transferred from E to R, the total number of people in E decreases by 5 and the total number of people in R increases by 5.
- As the average of class E is x, the total sum of marks in class E before transfer is 5x.
- After transferring 5 people to R, the total sum of marks in class E becomes 5x - 5.
- Therefore, the new average of class E becomes (5x - 5)/(x - 5).

Transferring 5 people from R to E:
- Another independent set of 5 people are transferred back from R to E.
- As per the condition, this set does not contain any student from the previous set of 5 people transferred from E to R.
- Therefore, the total sum of marks in class E after this transfer becomes 5x - 5 + 5 = 5x.

Final Average of Class E:
- The total number of people in class E remains the same after the second transfer, which is 5.
- Therefore, the final average of class E after both transfers is 5x/5 = x.

Minimum Possible Average:
- As we want to find the minimum possible average of class E, we need to find the minimum value of x.
- Since the initial average of class E is x, the minimum possible value of x can be when x = 20.
- Therefore, the minimum possible average of class E at the end of the operation is 20.

Therefore, the correct answer is option B) 20.25.
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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. What could be the minimum possible average of class E at the end of the operation?a) 21.4b) 20.25c) 28.5d) 19.2Correct answer is option 'B'. Can you explain this answer?
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