CAT Exam > CAT Questions > In a sports club, a poll was taken as to whic...
Start Learning for Free
In a sports club, a poll was taken as to which IPL club(s) they follow. It was found out that 597 people followed RCB, 667 followed SRH, 496 people follow KKR and 395 people follow CSK. A person can follow none of the clubs, one club or more than one club. Based on the information, answer the following questions.
Q. If it is known that the total number of people in the sports club were 2300 and out of them, only 395 followed none of the clubs, what can be the maximum number of people who follow exactly 3 clubs?
Correct answer is '125'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
In a sports club, a poll was taken as to which IPL club(s) they follow...
I + II + III + IV = 2300 - 395 = 1905
I + 2 II + 3 III + 4 IV = 597 + 667 + 496 + 395 = 2155
II + 2 III + 3 IV = 2155 - 1905 = 250
To maximise III, we can distribute 250 to III
250 / 2 = 125.
Hence, a maximum number of 125 people follow 3 clubs.
I + 2 II + 3 III + 4 IV = 597 + 667 + 496 + 395 = 2155
II + 2 III + 3 IV = 2155 - 1905 = 250
To maximise III, we can distribute 250 to III
250 / 2 = 125.
Hence, a maximum number of 125 people follow 3 clubs.
Most Upvoted Answer
In a sports club, a poll was taken as to which IPL club(s) they follow...
Understanding the problem:
- Total number of people in the sports club = 2300.
- Number of people who follow RCB = 597.
- Number of people who follow SRH = 667.
- Number of people who follow KKR = 496.
- Number of people who follow CSK = 395.
- Number of people who follow none of the clubs = 395.
Solution:
To find the maximum number of people who follow exactly 3 clubs, we need to make some assumptions.
Assumption 1: All the people who follow none of the clubs follow exactly 3 clubs.
This assumption is valid because if someone follows none of the clubs, they can follow any combination of the remaining clubs.
Assumption 2: No one follows all 4 clubs.
This assumption is also valid because if someone follows all 4 clubs, they cannot follow exactly 3 clubs.
Using the above assumptions, we can find the maximum number of people who follow exactly 3 clubs as follows:
- Number of people who follow none of the clubs = 395.
- Total number of people who follow at least one club = 2300 - 395 = 1905.
- Maximum number of people who follow exactly 3 clubs = Total number of people who follow at least one club - (Number of people who follow exactly one club + Number of people who follow exactly two clubs + Number of people who follow all 4 clubs).
- Number of people who follow exactly one club = 597 + 667 + 496 + 395 (subtracting the people who follow none of the clubs).
- Number of people who follow exactly two clubs = (Number of people who follow exactly one club) / 2 (assuming equal distribution).
- Number of people who follow all 4 clubs = 0 (based on Assumption 2 above).
- Maximum number of people who follow exactly 3 clubs = 1905 - (597 + 667 + 496 + 395 + 582) = 125.
Therefore, the maximum number of people who follow exactly 3 clubs is 125.
- Total number of people in the sports club = 2300.
- Number of people who follow RCB = 597.
- Number of people who follow SRH = 667.
- Number of people who follow KKR = 496.
- Number of people who follow CSK = 395.
- Number of people who follow none of the clubs = 395.
Solution:
To find the maximum number of people who follow exactly 3 clubs, we need to make some assumptions.
Assumption 1: All the people who follow none of the clubs follow exactly 3 clubs.
This assumption is valid because if someone follows none of the clubs, they can follow any combination of the remaining clubs.
Assumption 2: No one follows all 4 clubs.
This assumption is also valid because if someone follows all 4 clubs, they cannot follow exactly 3 clubs.
Using the above assumptions, we can find the maximum number of people who follow exactly 3 clubs as follows:
- Number of people who follow none of the clubs = 395.
- Total number of people who follow at least one club = 2300 - 395 = 1905.
- Maximum number of people who follow exactly 3 clubs = Total number of people who follow at least one club - (Number of people who follow exactly one club + Number of people who follow exactly two clubs + Number of people who follow all 4 clubs).
- Number of people who follow exactly one club = 597 + 667 + 496 + 395 (subtracting the people who follow none of the clubs).
- Number of people who follow exactly two clubs = (Number of people who follow exactly one club) / 2 (assuming equal distribution).
- Number of people who follow all 4 clubs = 0 (based on Assumption 2 above).
- Maximum number of people who follow exactly 3 clubs = 1905 - (597 + 667 + 496 + 395 + 582) = 125.
Therefore, the maximum number of people who follow exactly 3 clubs is 125.
Community Answer
In a sports club, a poll was taken as to which IPL club(s) they follow...
Solution:
Given data:
- Number of people who follow RCB = 597
- Number of people who follow SRH = 667
- Number of people who follow KKR = 496
- Number of people who follow CSK = 395
- Total number of people in the sports club = 2300
- Number of people who follow none of the clubs = 395
Let's first calculate the total number of people who follow at least one club:
Total number of people who follow at least one club = 2300 - 395 = 1905
Let's now find out the maximum number of people who follow exactly 3 clubs:
To maximize the number of people who follow exactly 3 clubs, we need to consider the following scenario:
- All the people who follow CSK also follow RCB and SRH
- All the people who follow KKR also follow RCB and SRH
- All the people who follow RCB and SRH do not follow any other club
Using this scenario, we can calculate the maximum number of people who follow exactly 3 clubs as follows:
- Number of people who follow CSK, KKR, RCB and SRH = 395 (since all the people who follow CSK and KKR also follow RCB and SRH)
- Number of people who follow RCB and SRH only = Total number of people who follow RCB + Total number of people who follow SRH - Number of people who follow both RCB and SRH
= 597 + 667 - (1905 - 395)
= 654
- Therefore, the maximum number of people who follow exactly 3 clubs = Number of people who follow CSK, KKR, RCB and SRH - Number of people who follow RCB and SRH only
= 395 - 654
= -259
However, this is not a possible scenario as the number of people who follow exactly 3 clubs cannot be negative. Hence, we need to modify our scenario to make it possible.
Let's modify our scenario as follows:
- All the people who follow CSK also follow RCB and SRH
- All the people who follow KKR also follow RCB and SRH
- All the people who follow RCB also follow SRH
- All the people who follow SRH do not follow any other club
Using this modified scenario, we can calculate the maximum number of people who follow exactly 3 clubs as follows:
- Number of people who follow CSK, KKR, RCB and SRH = 395 (since all the people who follow CSK and KKR also follow RCB and SRH)
- Number of people who follow RCB and SRH only = Total number of people who follow RCB + Total number of people who follow SRH - 2*(Number of people who follow both RCB and SRH)
= 597 + 667 - 2*(1905 - 395)
= 308
- Therefore, the maximum number of people who follow exactly 3 clubs = Number of people who follow CSK, KKR, RCB and SRH - Number of people who follow RCB and SRH only
= 395 - 308
= 87
Therefore, the maximum number of people who follow exactly 3 clubs is 87.
Given data:
- Number of people who follow RCB = 597
- Number of people who follow SRH = 667
- Number of people who follow KKR = 496
- Number of people who follow CSK = 395
- Total number of people in the sports club = 2300
- Number of people who follow none of the clubs = 395
Let's first calculate the total number of people who follow at least one club:
Total number of people who follow at least one club = 2300 - 395 = 1905
Let's now find out the maximum number of people who follow exactly 3 clubs:
To maximize the number of people who follow exactly 3 clubs, we need to consider the following scenario:
- All the people who follow CSK also follow RCB and SRH
- All the people who follow KKR also follow RCB and SRH
- All the people who follow RCB and SRH do not follow any other club
Using this scenario, we can calculate the maximum number of people who follow exactly 3 clubs as follows:
- Number of people who follow CSK, KKR, RCB and SRH = 395 (since all the people who follow CSK and KKR also follow RCB and SRH)
- Number of people who follow RCB and SRH only = Total number of people who follow RCB + Total number of people who follow SRH - Number of people who follow both RCB and SRH
= 597 + 667 - (1905 - 395)
= 654
- Therefore, the maximum number of people who follow exactly 3 clubs = Number of people who follow CSK, KKR, RCB and SRH - Number of people who follow RCB and SRH only
= 395 - 654
= -259
However, this is not a possible scenario as the number of people who follow exactly 3 clubs cannot be negative. Hence, we need to modify our scenario to make it possible.
Let's modify our scenario as follows:
- All the people who follow CSK also follow RCB and SRH
- All the people who follow KKR also follow RCB and SRH
- All the people who follow RCB also follow SRH
- All the people who follow SRH do not follow any other club
Using this modified scenario, we can calculate the maximum number of people who follow exactly 3 clubs as follows:
- Number of people who follow CSK, KKR, RCB and SRH = 395 (since all the people who follow CSK and KKR also follow RCB and SRH)
- Number of people who follow RCB and SRH only = Total number of people who follow RCB + Total number of people who follow SRH - 2*(Number of people who follow both RCB and SRH)
= 597 + 667 - 2*(1905 - 395)
= 308
- Therefore, the maximum number of people who follow exactly 3 clubs = Number of people who follow CSK, KKR, RCB and SRH - Number of people who follow RCB and SRH only
= 395 - 308
= 87
Therefore, the maximum number of people who follow exactly 3 clubs is 87.
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
|
|
Top Courses for CATView all
In a sports club, a poll was taken as to which IPL club(s) they follow. It was found out that 597 people followed RCB, 667 followed SRH, 496 people follow KKR and 395 people follow CSK. A person can follow none of the clubs, one club or more than one club. Based on the information, answer the following questions.Q.If it is known that the total number of people in the sports club were 2300 and out of them, only 395 followed none of the clubs, what can be the maximum number of people who follow exactly 3 clubs?Correct answer is '125'. Can you explain this answer?
Question Description
In a sports club, a poll was taken as to which IPL club(s) they follow. It was found out that 597 people followed RCB, 667 followed SRH, 496 people follow KKR and 395 people follow CSK. A person can follow none of the clubs, one club or more than one club. Based on the information, answer the following questions.Q.If it is known that the total number of people in the sports club were 2300 and out of them, only 395 followed none of the clubs, what can be the maximum number of people who follow exactly 3 clubs?Correct answer is '125'. 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 In a sports club, a poll was taken as to which IPL club(s) they follow. It was found out that 597 people followed RCB, 667 followed SRH, 496 people follow KKR and 395 people follow CSK. A person can follow none of the clubs, one club or more than one club. Based on the information, answer the following questions.Q.If it is known that the total number of people in the sports club were 2300 and out of them, only 395 followed none of the clubs, what can be the maximum number of people who follow exactly 3 clubs?Correct answer is '125'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a sports club, a poll was taken as to which IPL club(s) they follow. It was found out that 597 people followed RCB, 667 followed SRH, 496 people follow KKR and 395 people follow CSK. A person can follow none of the clubs, one club or more than one club. Based on the information, answer the following questions.Q.If it is known that the total number of people in the sports club were 2300 and out of them, only 395 followed none of the clubs, what can be the maximum number of people who follow exactly 3 clubs?Correct answer is '125'. Can you explain this answer?.
In a sports club, a poll was taken as to which IPL club(s) they follow. It was found out that 597 people followed RCB, 667 followed SRH, 496 people follow KKR and 395 people follow CSK. A person can follow none of the clubs, one club or more than one club. Based on the information, answer the following questions.Q.If it is known that the total number of people in the sports club were 2300 and out of them, only 395 followed none of the clubs, what can be the maximum number of people who follow exactly 3 clubs?Correct answer is '125'. 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 In a sports club, a poll was taken as to which IPL club(s) they follow. It was found out that 597 people followed RCB, 667 followed SRH, 496 people follow KKR and 395 people follow CSK. A person can follow none of the clubs, one club or more than one club. Based on the information, answer the following questions.Q.If it is known that the total number of people in the sports club were 2300 and out of them, only 395 followed none of the clubs, what can be the maximum number of people who follow exactly 3 clubs?Correct answer is '125'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a sports club, a poll was taken as to which IPL club(s) they follow. It was found out that 597 people followed RCB, 667 followed SRH, 496 people follow KKR and 395 people follow CSK. A person can follow none of the clubs, one club or more than one club. Based on the information, answer the following questions.Q.If it is known that the total number of people in the sports club were 2300 and out of them, only 395 followed none of the clubs, what can be the maximum number of people who follow exactly 3 clubs?Correct answer is '125'. Can you explain this answer?.
Solutions for In a sports club, a poll was taken as to which IPL club(s) they follow. It was found out that 597 people followed RCB, 667 followed SRH, 496 people follow KKR and 395 people follow CSK. A person can follow none of the clubs, one club or more than one club. Based on the information, answer the following questions.Q.If it is known that the total number of people in the sports club were 2300 and out of them, only 395 followed none of the clubs, what can be the maximum number of people who follow exactly 3 clubs?Correct answer is '125'. 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 In a sports club, a poll was taken as to which IPL club(s) they follow. It was found out that 597 people followed RCB, 667 followed SRH, 496 people follow KKR and 395 people follow CSK. A person can follow none of the clubs, one club or more than one club. Based on the information, answer the following questions.Q.If it is known that the total number of people in the sports club were 2300 and out of them, only 395 followed none of the clubs, what can be the maximum number of people who follow exactly 3 clubs?Correct answer is '125'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
In a sports club, a poll was taken as to which IPL club(s) they follow. It was found out that 597 people followed RCB, 667 followed SRH, 496 people follow KKR and 395 people follow CSK. A person can follow none of the clubs, one club or more than one club. Based on the information, answer the following questions.Q.If it is known that the total number of people in the sports club were 2300 and out of them, only 395 followed none of the clubs, what can be the maximum number of people who follow exactly 3 clubs?Correct answer is '125'. Can you explain this answer?, a detailed solution for In a sports club, a poll was taken as to which IPL club(s) they follow. It was found out that 597 people followed RCB, 667 followed SRH, 496 people follow KKR and 395 people follow CSK. A person can follow none of the clubs, one club or more than one club. Based on the information, answer the following questions.Q.If it is known that the total number of people in the sports club were 2300 and out of them, only 395 followed none of the clubs, what can be the maximum number of people who follow exactly 3 clubs?Correct answer is '125'. Can you explain this answer? has been provided alongside types of In a sports club, a poll was taken as to which IPL club(s) they follow. It was found out that 597 people followed RCB, 667 followed SRH, 496 people follow KKR and 395 people follow CSK. A person can follow none of the clubs, one club or more than one club. Based on the information, answer the following questions.Q.If it is known that the total number of people in the sports club were 2300 and out of them, only 395 followed none of the clubs, what can be the maximum number of people who follow exactly 3 clubs?Correct answer is '125'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice In a sports club, a poll was taken as to which IPL club(s) they follow. It was found out that 597 people followed RCB, 667 followed SRH, 496 people follow KKR and 395 people follow CSK. A person can follow none of the clubs, one club or more than one club. Based on the information, answer the following questions.Q.If it is known that the total number of people in the sports club were 2300 and out of them, only 395 followed none of the clubs, what can be the maximum number of people who follow exactly 3 clubs?Correct answer is '125'. 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