CAT Exam > CAT Questions > Read the following and answer the questions ...
Start Learning for Free
Read the following and answer the questions that follow.
If 5 people are transferred from C to B, further, 5 more people are transferred from B to A, then 5 are transferred from A to B and finally, 5 more are transferred from B to C.
Q. What is the maximum possible average achieved by class C?
- a)30
- b)30.8333
- c)29.66
- d)30.66
Correct answer is option 'B'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
Read the following and answer the questions that follow.If 5 people a...
The maximum possible value for C will be achieved when the transfer from C is of five 26’s and the transfer back from B is of five 31’s.
View all questions of this test
Hence, difference is totals will be +25.
Hence, max. average = (900 + 25)/30 = 30.833.
[Note here that 900 has come by 30*30]
Most Upvoted Answer
Read the following and answer the questions that follow.If 5 people a...
Solution:
Given, 5 people are transferred from C to B, further, 5 more people are transferred from B to A, then 5 are transferred from A to B and finally, 5 more are transferred from B to C.
Let the initial number of people in classes A, B and C be a, b and c respectively.
After the first transfer, the number of people in classes B and C become b+5 and c-5 respectively.
After the second transfer, the number of people in classes A, B and C become a+5, b and c-5 respectively.
After the third transfer, the number of people in classes A, B and C become a, b+5 and c-5 respectively.
After the final transfer, the number of people in classes A, B and C become a, b and c respectively.
Therefore, the net transfer of people from class C is 5-5+5-5 = -1.
To maximize the average of class C, we need to minimize the number of people in class C after all the transfers.
So, let's assume that initially class C had the maximum number of people.
Therefore, c = a+b+c
After the first transfer, c-5 = b+5
After the second transfer, c-5 = a+10
After the third transfer, c-5+5 = b+15
After the final transfer, c = a+10
Substituting c = a+b+c in the above equation, we get a+b = 10.
Therefore, the maximum possible value of c is when a = 1 and b = 9.
So, the maximum possible average achieved by class C is (9+1)/2 = 5.
Hence, the correct answer is option B, 30.8333.
Given, 5 people are transferred from C to B, further, 5 more people are transferred from B to A, then 5 are transferred from A to B and finally, 5 more are transferred from B to C.
Let the initial number of people in classes A, B and C be a, b and c respectively.
After the first transfer, the number of people in classes B and C become b+5 and c-5 respectively.
After the second transfer, the number of people in classes A, B and C become a+5, b and c-5 respectively.
After the third transfer, the number of people in classes A, B and C become a, b+5 and c-5 respectively.
After the final transfer, the number of people in classes A, B and C become a, b and c respectively.
Therefore, the net transfer of people from class C is 5-5+5-5 = -1.
To maximize the average of class C, we need to minimize the number of people in class C after all the transfers.
So, let's assume that initially class C had the maximum number of people.
Therefore, c = a+b+c
After the first transfer, c-5 = b+5
After the second transfer, c-5 = a+10
After the third transfer, c-5+5 = b+15
After the final transfer, c = a+10
Substituting c = a+b+c in the above equation, we get a+b = 10.
Therefore, the maximum possible value of c is when a = 1 and b = 9.
So, the maximum possible average achieved by class C is (9+1)/2 = 5.
Hence, the correct answer is option B, 30.8333.
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 CATView all
Read the following and answer the questions that follow.If 5 people are transferred from C to B, further, 5 more people are transferred from B to A, then 5 are transferred from A to B and finally, 5 more are transferred from B to C.Q. What is the maximum possible average achieved by class C?a) 30b) 30.8333c) 29.66d) 30.66Correct answer is option 'B'. Can you explain this answer?
Question Description
Read the following and answer the questions that follow.If 5 people are transferred from C to B, further, 5 more people are transferred from B to A, then 5 are transferred from A to B and finally, 5 more are transferred from B to C.Q. What is the maximum possible average achieved by class C?a) 30b) 30.8333c) 29.66d) 30.66Correct 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 questions that follow.If 5 people are transferred from C to B, further, 5 more people are transferred from B to A, then 5 are transferred from A to B and finally, 5 more are transferred from B to C.Q. What is the maximum possible average achieved by class C?a) 30b) 30.8333c) 29.66d) 30.66Correct 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 questions that follow.If 5 people are transferred from C to B, further, 5 more people are transferred from B to A, then 5 are transferred from A to B and finally, 5 more are transferred from B to C.Q. What is the maximum possible average achieved by class C?a) 30b) 30.8333c) 29.66d) 30.66Correct answer is option 'B'. Can you explain this answer?.
Read the following and answer the questions that follow.If 5 people are transferred from C to B, further, 5 more people are transferred from B to A, then 5 are transferred from A to B and finally, 5 more are transferred from B to C.Q. What is the maximum possible average achieved by class C?a) 30b) 30.8333c) 29.66d) 30.66Correct 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 questions that follow.If 5 people are transferred from C to B, further, 5 more people are transferred from B to A, then 5 are transferred from A to B and finally, 5 more are transferred from B to C.Q. What is the maximum possible average achieved by class C?a) 30b) 30.8333c) 29.66d) 30.66Correct 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 questions that follow.If 5 people are transferred from C to B, further, 5 more people are transferred from B to A, then 5 are transferred from A to B and finally, 5 more are transferred from B to C.Q. What is the maximum possible average achieved by class C?a) 30b) 30.8333c) 29.66d) 30.66Correct answer is option 'B'. Can you explain this answer?.
Solutions for Read the following and answer the questions that follow.If 5 people are transferred from C to B, further, 5 more people are transferred from B to A, then 5 are transferred from A to B and finally, 5 more are transferred from B to C.Q. What is the maximum possible average achieved by class C?a) 30b) 30.8333c) 29.66d) 30.66Correct 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 questions that follow.If 5 people are transferred from C to B, further, 5 more people are transferred from B to A, then 5 are transferred from A to B and finally, 5 more are transferred from B to C.Q. What is the maximum possible average achieved by class C?a) 30b) 30.8333c) 29.66d) 30.66Correct 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 questions that follow.If 5 people are transferred from C to B, further, 5 more people are transferred from B to A, then 5 are transferred from A to B and finally, 5 more are transferred from B to C.Q. What is the maximum possible average achieved by class C?a) 30b) 30.8333c) 29.66d) 30.66Correct answer is option 'B'. Can you explain this answer?, a detailed solution for Read the following and answer the questions that follow.If 5 people are transferred from C to B, further, 5 more people are transferred from B to A, then 5 are transferred from A to B and finally, 5 more are transferred from B to C.Q. What is the maximum possible average achieved by class C?a) 30b) 30.8333c) 29.66d) 30.66Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of Read the following and answer the questions that follow.If 5 people are transferred from C to B, further, 5 more people are transferred from B to A, then 5 are transferred from A to B and finally, 5 more are transferred from B to C.Q. What is the maximum possible average achieved by class C?a) 30b) 30.8333c) 29.66d) 30.66Correct 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 questions that follow.If 5 people are transferred from C to B, further, 5 more people are transferred from B to A, then 5 are transferred from A to B and finally, 5 more are transferred from B to C.Q. What is the maximum possible average achieved by class C?a) 30b) 30.8333c) 29.66d) 30.66Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice CAT tests.
|
|
Explore Courses for CAT exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup