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Study the following information and answer the given question.
In a college, there are three student clubs (cricket club, football club, and hockey club). Number of students only in cricket club is 4 times the number of students in both football and hockey clubs. Ratio of students only in football club to the students only in hockey club is 3 : 2. While the ratio of students only in hockey club to the students only in cricket club is 1 : 2. 3 students are participating in all the clubs. The number of students in both cricket and football clubs is the same as that of students only in the hockey club. Students who are in both cricket and hockey clubs are 10 and the number of students in football and hockey clubs is twice. 75% of the students in the college are not in any of these clubs.
Q. Find the number of students in cricket and football only.
- a)31
- b)33
- c)37
- d)41
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Study the following information and answer the given question.In a col...
Given:
Students participating in all the clubs are 3, i.e. m = 3 ...(1)
Number of students only in cricket is 4 times the number of students in both football and hockey clubs,
i.e. p = 4(m + c) ...(2)
Ratio of the number of students only in football club to the number of students only in hockey club is 3 : 2.
q/r = 3/2 ...(3)
Ratio of the number of students only in hockey club to the number of students only in cricket club is 1 : 2.
r/p = 1/2 ...(4)
The number of students in both cricket and football clubs is the same as the number of students only in the hockey club.
a + m = r ...(5)
The number of students in both cricket and hockey clubs are 10 and the number of students in football and hockey clubs is twice that number.
b + m = 10 ...(6)
m + c = 20 ...(7)
Putting the value of m from (1) in (6) and (7), gives:
b = 7
c = 17
Putting value of m + c from (7) in (2), gives:
p = 4(20)
p = 80
Putting 'p' in (4),
r = 40
And, putting 'r' in (3) gives q = 60.
Further, putting value of r in (5),
a + 3 = 40
a = 37
Total number of students = p + q + r + a + b + c + m
= 80 + 60 + 40 + 37 + 7 + 17 + 3
= 244
75% of the students in the college are not in any of these clubs, this means that 25% attend the club, i.e. 0.25(x) = 244,
where x = total no of students in college.
x = 976
The number of students in football and cricket only is 37.
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Study the following information and answer the given question.In a college, there are three student clubs (cricket club, football club, and hockey club). Number of students only in cricket club is 4 times the number of students in both football and hockey clubs. Ratio of students only in football club to the students only in hockey club is 3 : 2. While the ratio of students only in hockey club to the students only in cricket club is 1 : 2. 3 students are participating in all the clubs. The number of students in both cricket and football clubs is the same as that of students only in the hockey club. Students who are in both cricket and hockey clubs are 10 and the number of students in football and hockey clubs is twice. 75% of the students in the college are not in any of these clubs.Q.Find the number of students in cricket and football only.a)31b)33c)37d)41Correct answer is option 'C'. Can you explain this answer?
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Study the following information and answer the given question.In a college, there are three student clubs (cricket club, football club, and hockey club). Number of students only in cricket club is 4 times the number of students in both football and hockey clubs. Ratio of students only in football club to the students only in hockey club is 3 : 2. While the ratio of students only in hockey club to the students only in cricket club is 1 : 2. 3 students are participating in all the clubs. The number of students in both cricket and football clubs is the same as that of students only in the hockey club. Students who are in both cricket and hockey clubs are 10 and the number of students in football and hockey clubs is twice. 75% of the students in the college are not in any of these clubs.Q.Find the number of students in cricket and football only.a)31b)33c)37d)41Correct answer is option 'C'. Can you explain this answer? for CLAT 2025 is part of CLAT preparation. The Question and answers have been prepared according to the CLAT exam syllabus. Information about Study the following information and answer the given question.In a college, there are three student clubs (cricket club, football club, and hockey club). Number of students only in cricket club is 4 times the number of students in both football and hockey clubs. Ratio of students only in football club to the students only in hockey club is 3 : 2. While the ratio of students only in hockey club to the students only in cricket club is 1 : 2. 3 students are participating in all the clubs. The number of students in both cricket and football clubs is the same as that of students only in the hockey club. Students who are in both cricket and hockey clubs are 10 and the number of students in football and hockey clubs is twice. 75% of the students in the college are not in any of these clubs.Q.Find the number of students in cricket and football only.a)31b)33c)37d)41Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for CLAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Study the following information and answer the given question.In a college, there are three student clubs (cricket club, football club, and hockey club). Number of students only in cricket club is 4 times the number of students in both football and hockey clubs. Ratio of students only in football club to the students only in hockey club is 3 : 2. While the ratio of students only in hockey club to the students only in cricket club is 1 : 2. 3 students are participating in all the clubs. The number of students in both cricket and football clubs is the same as that of students only in the hockey club. Students who are in both cricket and hockey clubs are 10 and the number of students in football and hockey clubs is twice. 75% of the students in the college are not in any of these clubs.Q.Find the number of students in cricket and football only.a)31b)33c)37d)41Correct answer is option 'C'. Can you explain this answer?.
Study the following information and answer the given question.In a college, there are three student clubs (cricket club, football club, and hockey club). Number of students only in cricket club is 4 times the number of students in both football and hockey clubs. Ratio of students only in football club to the students only in hockey club is 3 : 2. While the ratio of students only in hockey club to the students only in cricket club is 1 : 2. 3 students are participating in all the clubs. The number of students in both cricket and football clubs is the same as that of students only in the hockey club. Students who are in both cricket and hockey clubs are 10 and the number of students in football and hockey clubs is twice. 75% of the students in the college are not in any of these clubs.Q.Find the number of students in cricket and football only.a)31b)33c)37d)41Correct answer is option 'C'. Can you explain this answer? for CLAT 2025 is part of CLAT preparation. The Question and answers have been prepared according to the CLAT exam syllabus. Information about Study the following information and answer the given question.In a college, there are three student clubs (cricket club, football club, and hockey club). Number of students only in cricket club is 4 times the number of students in both football and hockey clubs. Ratio of students only in football club to the students only in hockey club is 3 : 2. While the ratio of students only in hockey club to the students only in cricket club is 1 : 2. 3 students are participating in all the clubs. The number of students in both cricket and football clubs is the same as that of students only in the hockey club. Students who are in both cricket and hockey clubs are 10 and the number of students in football and hockey clubs is twice. 75% of the students in the college are not in any of these clubs.Q.Find the number of students in cricket and football only.a)31b)33c)37d)41Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for CLAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Study the following information and answer the given question.In a college, there are three student clubs (cricket club, football club, and hockey club). Number of students only in cricket club is 4 times the number of students in both football and hockey clubs. Ratio of students only in football club to the students only in hockey club is 3 : 2. While the ratio of students only in hockey club to the students only in cricket club is 1 : 2. 3 students are participating in all the clubs. The number of students in both cricket and football clubs is the same as that of students only in the hockey club. Students who are in both cricket and hockey clubs are 10 and the number of students in football and hockey clubs is twice. 75% of the students in the college are not in any of these clubs.Q.Find the number of students in cricket and football only.a)31b)33c)37d)41Correct answer is option 'C'. Can you explain this answer?.
Solutions for Study the following information and answer the given question.In a college, there are three student clubs (cricket club, football club, and hockey club). Number of students only in cricket club is 4 times the number of students in both football and hockey clubs. Ratio of students only in football club to the students only in hockey club is 3 : 2. While the ratio of students only in hockey club to the students only in cricket club is 1 : 2. 3 students are participating in all the clubs. The number of students in both cricket and football clubs is the same as that of students only in the hockey club. Students who are in both cricket and hockey clubs are 10 and the number of students in football and hockey clubs is twice. 75% of the students in the college are not in any of these clubs.Q.Find the number of students in cricket and football only.a)31b)33c)37d)41Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for CLAT.
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