CAT Exam  >  CAT Questions  >   Read the following and answer the question t... Start Learning for Free
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.
View all questions of this test
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.
Attention CAT Students!
To make sure you are not studying endlessly, EduRev has designed CAT study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in CAT.
Explore Courses for CAT exam

Similar CAT Doubts

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?
Question Description
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? 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 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? 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 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?.
Solutions 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 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? in English & in Hindi are available as part of our courses for CAT. Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free.
Here you can find the meaning of 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? defined & explained in the simplest way possible. Besides giving the explanation of 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?, a detailed solution 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 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? has been provided alongside types of 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? theory, EduRev gives you an ample number of questions to practice 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? tests, examples and also practice CAT tests.
Explore Courses for CAT exam

Top Courses for CAT

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev