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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 the following data is additionally given, which of the following can be a possible number of people who followed all but CSK?
  1. Every person follows at least one club.
  2. No person follows exactly 2 clubs.
  3. The number of persons who follow all but RCB is 49.
  4. The number of persons who follow all but SRH is 53.
  5. The number of persons who follow all but KKR is 37.
  6. The total number of people in the sports club is 1307.
  • a)
    63
  • b)
    64
  • c)
    65
  • d)
    62
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
In a sports club, a poll was taken as to which IPL club(s) they follow...
Let the number of people who followed all but CSK be x.
Now, 
I + II + III + IV = 1307.
I + 2 II + 3 III + 4 IV = 2155
Hence,
II + 2 III + 3 IV = 2155 - 1307 = 848
Now it is given that II = 0
Also, III = 49 + 53 + 37 + x = 139 + x
Hence, 2(139 + x) + 3 IV = 848
278 + 2x + 3 IV = 848
2x + 3 IV = 570
Now, IV = (570 - 2x)/3
IV = 190 - 2x/3
Since, IV must be an integer, x must be a multiple of 3 for sure. 
Hence, 63 is a possibility and none other option is possible. 
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Most Upvoted Answer
In a sports club, a poll was taken as to which IPL club(s) they follow...
To find the number of people who followed all but CSK, we can use the principle of inclusion-exclusion.

Let's assume the number of people who followed all but CSK is x.

Number of people who followed RCB = 597
Number of people who followed SRH = 667
Number of people who followed KKR = 496
Number of people who followed CSK = 395

Total number of people in the sports club = 1307

Number of people who followed at least one club = Number of people who followed RCB + Number of people who followed SRH + Number of people who followed KKR + Number of people who followed CSK

= 597 + 667 + 496 + 395 = 2155

Number of people who followed exactly two clubs = Number of people who followed both RCB and SRH + Number of people who followed both RCB and KKR + Number of people who followed both RCB and CSK + Number of people who followed both SRH and KKR + Number of people who followed both SRH and CSK + Number of people who followed both KKR and CSK

Let's assume the number of people who followed both RCB and SRH is a.
Similarly, let's assume the number of people who followed both RCB and KKR is b.
The number of people who followed both RCB and CSK is x. (As these people also follow all but CSK)
Similarly, let's assume the number of people who followed both SRH and KKR is y.
The number of people who followed both SRH and CSK is x. (As these people also follow all but CSK)
The number of people who followed both KKR and CSK is x. (As these people also follow all but CSK)

Number of people who followed exactly two clubs = a + b + x + y + x + x
= a + b + 3x + y

According to the given information, no person follows exactly 2 clubs. So,
a + b + 3x + y = 0

Now, let's find the number of people who follow none of the clubs.

Number of people who follow none of the clubs = Total number of people in the sports club - Number of people who follow at least one club

= 1307 - 2155 = -848 (which is not possible)

Since the number of people who follow none of the clubs is negative, it means our assumption is incorrect.

Therefore, we need to find the value of x, the number of people who followed all but CSK.

Number of people who follow all but RCB = 49
Number of people who follow all but SRH = 53
Number of people who follow all but KKR = 37

Number of people who follow exactly two clubs = 0 (given)

Let's assume the number of people who follow all four clubs is y.

Number of people who follow at least one club = Number of people who follow RCB + Number of people who follow SRH + Number of people who follow KKR + Number of people who follow CSK + Number of people who follow all four clubs

= 597 + 667 + 496 + 395 + y

Number of people who follow at least one club = Total number of people in the sports club (1307)

597 + 667 +
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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 the following data is additionally given, which of the following can be a possible number of people who followed all but CSK? Every person follows at least one club. No person follows exactly 2 clubs. The number of persons who follow all but RCB is 49. The number of persons who follow all but SRH is 53. The number of persons who follow all but KKR is 37. The total number of people in the sports club is 1307.a)63b)64c)65d)62Correct answer is option 'A'. Can you explain this answer?
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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 the following data is additionally given, which of the following can be a possible number of people who followed all but CSK? Every person follows at least one club. No person follows exactly 2 clubs. The number of persons who follow all but RCB is 49. The number of persons who follow all but SRH is 53. The number of persons who follow all but KKR is 37. The total number of people in the sports club is 1307.a)63b)64c)65d)62Correct answer is option 'A'. 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 the following data is additionally given, which of the following can be a possible number of people who followed all but CSK? Every person follows at least one club. No person follows exactly 2 clubs. The number of persons who follow all but RCB is 49. The number of persons who follow all but SRH is 53. The number of persons who follow all but KKR is 37. The total number of people in the sports club is 1307.a)63b)64c)65d)62Correct answer is option 'A'. 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 the following data is additionally given, which of the following can be a possible number of people who followed all but CSK? Every person follows at least one club. No person follows exactly 2 clubs. The number of persons who follow all but RCB is 49. The number of persons who follow all but SRH is 53. The number of persons who follow all but KKR is 37. The total number of people in the sports club is 1307.a)63b)64c)65d)62Correct answer is option 'A'. 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 the following data is additionally given, which of the following can be a possible number of people who followed all but CSK? Every person follows at least one club. No person follows exactly 2 clubs. The number of persons who follow all but RCB is 49. The number of persons who follow all but SRH is 53. The number of persons who follow all but KKR is 37. The total number of people in the sports club is 1307.a)63b)64c)65d)62Correct answer is option 'A'. 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 the following data is additionally given, which of the following can be a possible number of people who followed all but CSK? Every person follows at least one club. No person follows exactly 2 clubs. The number of persons who follow all but RCB is 49. The number of persons who follow all but SRH is 53. The number of persons who follow all but KKR is 37. The total number of people in the sports club is 1307.a)63b)64c)65d)62Correct answer is option 'A'. 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 the following data is additionally given, which of the following can be a possible number of people who followed all but CSK? Every person follows at least one club. No person follows exactly 2 clubs. The number of persons who follow all but RCB is 49. The number of persons who follow all but SRH is 53. The number of persons who follow all but KKR is 37. The total number of people in the sports club is 1307.a)63b)64c)65d)62Correct answer is option 'A'. 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 the following data is additionally given, which of the following can be a possible number of people who followed all but CSK? Every person follows at least one club. No person follows exactly 2 clubs. The number of persons who follow all but RCB is 49. The number of persons who follow all but SRH is 53. The number of persons who follow all but KKR is 37. The total number of people in the sports club is 1307.a)63b)64c)65d)62Correct answer is option 'A'. 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 the following data is additionally given, which of the following can be a possible number of people who followed all but CSK? Every person follows at least one club. No person follows exactly 2 clubs. The number of persons who follow all but RCB is 49. The number of persons who follow all but SRH is 53. The number of persons who follow all but KKR is 37. The total number of people in the sports club is 1307.a)63b)64c)65d)62Correct answer is option 'A'. 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 the following data is additionally given, which of the following can be a possible number of people who followed all but CSK? Every person follows at least one club. No person follows exactly 2 clubs. The number of persons who follow all but RCB is 49. The number of persons who follow all but SRH is 53. The number of persons who follow all but KKR is 37. The total number of people in the sports club is 1307.a)63b)64c)65d)62Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice CAT tests.
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