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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 total number of people in the sports club is 1306, and everyone follows a minimum of one of the four clubs and the number of people who support all 4 clubs is the maximum, what is the ratio of the number of people who follow only RCB to those who follow only SRH?
  • a)
    157/187
  • b)
    3/4
  • c)
    9/11
  • d)
    157/192
Correct answer is option 'D'. 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...
I + II + II + IV = 1306
I + 2 II + 3 III + 4 IV = 2155
II + 2 III + 3 IV = 849
To maximise 4, we must distribute these 849 counts to IV.
So, IV = 849 / 3 = 283.
Hence, II = III = 0.
So, people who follow only RCB = 597 - 283 = 314
And, people who follow only SRH = 667 - 283 = 384
Required ratio = 314/384 = 157/192
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Most Upvoted Answer
In a sports club, a poll was taken as to which IPL club(s) they follow...
Given data:
- Total number of people in the sports club = 1306
- 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

Approach:
To find the ratio of people who follow only RCB to those who follow only SRH, we need to calculate the number of people who follow only RCB and the number of people who follow only SRH.

Solution:
To find the number of people who follow only RCB, we need to subtract the number of people who follow both RCB and other clubs from the total number of people who follow RCB.

Number of people who follow only RCB = Number of people who follow RCB - Number of people who follow both RCB and other clubs

To find the number of people who follow both RCB and other clubs, we subtract the number of people who follow only RCB, SRH, KKR, and CSK from the total number of people in the sports club.

Number of people who follow both RCB and other clubs = Total number of people in the sports club - (Number of people who follow only RCB + Number of people who follow only SRH + Number of people who follow only KKR + Number of people who follow only CSK)

Similarly, we can calculate the number of people who follow only SRH using the same approach.

Number of people who follow only SRH = Number of people who follow SRH - Number of people who follow both SRH and other clubs

Number of people who follow both SRH and other clubs = Total number of people in the sports club - (Number of people who follow only RCB + Number of people who follow only SRH + Number of people who follow only KKR + Number of people who follow only CSK)

Calculations:
Number of people who follow both RCB and other clubs = 1306 - (597 + 667 + 496 + 395) = 1306 - 2155 = -849 (Since it is not possible to have a negative number, we can consider it as 0)

Number of people who follow only RCB = 597 - 0 = 597

Number of people who follow both SRH and other clubs = 1306 - (597 + 667 + 496 + 395) = 1306 - 2155 = -849 (Again, we consider it as 0)

Number of people who follow only SRH = 667 - 0 = 667

Therefore, the ratio of the number of people who follow only RCB to those who follow only SRH is 597:667, which can be simplified as 157:192.

Hence, the correct answer is option D) 157/192.
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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 total number of people in the sports club is 1306, and everyone follows a minimum of one of the four clubs and the number of people who support all 4 clubs is the maximum, what is the ratio of the number of people who follow only RCB to those who follow only SRH?a)157/187b)3/4c)9/11d)157/192Correct answer is option 'D'. 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 total number of people in the sports club is 1306, and everyone follows a minimum of one of the four clubs and the number of people who support all 4 clubs is the maximum, what is the ratio of the number of people who follow only RCB to those who follow only SRH?a)157/187b)3/4c)9/11d)157/192Correct answer is option 'D'. 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 total number of people in the sports club is 1306, and everyone follows a minimum of one of the four clubs and the number of people who support all 4 clubs is the maximum, what is the ratio of the number of people who follow only RCB to those who follow only SRH?a)157/187b)3/4c)9/11d)157/192Correct answer is option 'D'. 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 total number of people in the sports club is 1306, and everyone follows a minimum of one of the four clubs and the number of people who support all 4 clubs is the maximum, what is the ratio of the number of people who follow only RCB to those who follow only SRH?a)157/187b)3/4c)9/11d)157/192Correct answer is option 'D'. Can you explain this answer?.
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