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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 maximum possible average achieved by class E at the end of the operation?
(a) 25.2
(b) 23.25
(c) 26
(d) 23.75
Correct answer is 'b'. Can you explain this answer?
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Read the following and answer the question that follow.If 5 people ar...
The maximum value for E will happen in the case of Q4. Then the increment for group E is
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31* 5 – 18 * 5 = 5 * (31 – 18) = 65.
Thus the maximum possible value is 465 / 20 = 23.25.
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Read the following and answer the question that follow.If 5 people ar...
Calculating the maximum possible average for class E
To calculate the maximum possible average achieved by class E at the end of the operation, we need to consider the initial average of class E and the impact of the transfers between E and R.
Initial average of class E
- Let's assume the initial average of class E before any transfers is A.
Effect of transfers
- When 5 people are transferred from E to R, the total number of people in class E decreases by 5, and the sum of their scores also decreases by 5A.
- Then, when another independent set of 5 people are transferred back from R to E, the total number of people in class E increases by 5, but the sum of their scores remains the same.
Calculating the new average
- After the transfers, the total sum of the scores in class E is the same as before the transfers, but the total number of people has changed.
- The new average of class E can be calculated as (Initial sum - 5A + 5A) / (Initial number of people + 5).
Maximum possible average
- To find the maximum possible average, we need to consider the scenario where the 5 people transferred from E to R had the lowest scores and the 5 people transferred back from R to E had the highest scores.
- This scenario would result in the maximum increase in the average of class E.
Therefore, the maximum possible average achieved by class E at the end of the operation is 23.25, which is option (b).
To calculate the maximum possible average achieved by class E at the end of the operation, we need to consider the initial average of class E and the impact of the transfers between E and R.
Initial average of class E
- Let's assume the initial average of class E before any transfers is A.
Effect of transfers
- When 5 people are transferred from E to R, the total number of people in class E decreases by 5, and the sum of their scores also decreases by 5A.
- Then, when another independent set of 5 people are transferred back from R to E, the total number of people in class E increases by 5, but the sum of their scores remains the same.
Calculating the new average
- After the transfers, the total sum of the scores in class E is the same as before the transfers, but the total number of people has changed.
- The new average of class E can be calculated as (Initial sum - 5A + 5A) / (Initial number of people + 5).
Maximum possible average
- To find the maximum possible average, we need to consider the scenario where the 5 people transferred from E to R had the lowest scores and the 5 people transferred back from R to E had the highest scores.
- This scenario would result in the maximum increase in the average of class E.
Therefore, the maximum possible average achieved by class E at the end of the operation is 23.25, which is option (b).
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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 maximum possible average achieved by class E at the end of the operation?(a) 25.2(b) 23.25(c) 26(d) 23.75Correct answer is 'b'. Can you explain this answer?
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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 maximum possible average achieved by class E at the end of the operation?(a) 25.2(b) 23.25(c) 26(d) 23.75Correct answer is 'b'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about 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 maximum possible average achieved by class E at the end of the operation?(a) 25.2(b) 23.25(c) 26(d) 23.75Correct answer is 'b'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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 maximum possible average achieved by class E at the end of the operation?(a) 25.2(b) 23.25(c) 26(d) 23.75Correct answer is 'b'. Can you explain this answer?.
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 maximum possible average achieved by class E at the end of the operation?(a) 25.2(b) 23.25(c) 26(d) 23.75Correct answer is 'b'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about 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 maximum possible average achieved by class E at the end of the operation?(a) 25.2(b) 23.25(c) 26(d) 23.75Correct answer is 'b'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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 maximum possible average achieved by class E at the end of the operation?(a) 25.2(b) 23.25(c) 26(d) 23.75Correct answer is 'b'. Can you explain this answer?.
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