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 will happen to R’s average?
  • a)
    Increase if E’s average decreases
  • b)
    Decrease always
  • c)
    Cannot be said
  • d)
    Decrease if E’s average decreases
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...
Will always decrease since the net value transferred from R to E will be higher than the net value transferred from E to R.
View all questions of this test
Most Upvoted Answer
Read the following and answer the question that follow.If 5 people ar...
Explanation:

  • Initially, let the number of students in E be E1, and the average be A1.

  • Let the number of students in R be R1, and the average be B1.

  • After transferring 5 students from E to R, let the number of students in E be E2 and the number of students in R be R2.

  • Therefore, E2 = E1 - 5 and R2 = R1 + 5.

  • Also, the total number of students in E and R remains the same, i.e. E1 + R1 = E2 + R2.

  • After transferring another set of 5 students from R to E, let the number of students in E be E3 and the number of students in R be R3.

  • Therefore, E3 = E2 + 5 = E1 - 5 + 5 = E1 and R3 = R2 - 5 = R1 + 5 - 5 = R1.

  • The total number of students in E and R remains the same, i.e. E3 + R3 = E1 + R1.

  • Now, the average of E after the transfer is still A1 because the same number of students are still in E and the sum of their marks hasn't changed.

  • But the average of R has decreased because 5 students with higher marks have left R and have been replaced by 5 students with lower marks from E.

  • Therefore, R’s average will always decrease after this operation.


Therefore, the correct answer is option 'B' - Decrease always.
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

Top Courses for CAT

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 will happen to R’s average? a) Increase if E’s average decreasesb) Decrease alwaysc) Cannot be saidd) Decrease if E’s average decreasesCorrect 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 will happen to R’s average? a) Increase if E’s average decreasesb) Decrease alwaysc) Cannot be saidd) Decrease if E’s average decreasesCorrect 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 will happen to R’s average? a) Increase if E’s average decreasesb) Decrease alwaysc) Cannot be saidd) Decrease if E’s average decreasesCorrect 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 will happen to R’s average? a) Increase if E’s average decreasesb) Decrease alwaysc) Cannot be saidd) Decrease if E’s average decreasesCorrect 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 will happen to R’s average? a) Increase if E’s average decreasesb) Decrease alwaysc) Cannot be saidd) Decrease if E’s average decreasesCorrect 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 will happen to R’s average? a) Increase if E’s average decreasesb) Decrease alwaysc) Cannot be saidd) Decrease if E’s average decreasesCorrect 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 will happen to R’s average? a) Increase if E’s average decreasesb) Decrease alwaysc) Cannot be saidd) Decrease if E’s average decreasesCorrect 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 will happen to R’s average? a) Increase if E’s average decreasesb) Decrease alwaysc) Cannot be saidd) Decrease if E’s average decreasesCorrect 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 will happen to R’s average? a) Increase if E’s average decreasesb) Decrease alwaysc) Cannot be saidd) Decrease if E’s average decreasesCorrect 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 will happen to R’s average? a) Increase if E’s average decreasesb) Decrease alwaysc) Cannot be saidd) Decrease if E’s average decreasesCorrect 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