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Directions: 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. Total number of students in different clubs is
- a)212
- b)242
- c)244
- d)246
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Directions: Study the following information and answer the given quest...
Given:
Students participating in all the clubs are 3, i.e. m = 3 ...(1)
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)
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)
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)
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)
a + m = r ...(5)
Students who are in both cricket and hockey clubs are 10 and twice the number of students are there in football and hockey clubs.
b + m = 10 ...(6)
m + c = 20 ...(7)
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
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.
r = 40
And, putting 'r' in (3) gives q = 60.
Further, putting value of r in (5),
a + 3 = 40
a = 37
a + 3 = 40
a = 37
Total number of students = p + q + r + a + b + c + m
= 80 + 60 + 40 + 37 + 7 + 17 + 3
= 244
= 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
where x = total no of students in college.
x = 976
Total number of students in different clubs is 244.
Most Upvoted Answer
Directions: Study the following information and answer the given quest...
Understanding the Problem
In this scenario, we have three clubs: cricket, football, and hockey. We need to determine the total number of students involved in these clubs based on the provided relationships.
Setting Up Variables
- Let the number of students only in the football club be F.
- Let the number of students only in the hockey club be H.
- The number of students only in the cricket club is 4(F + H).
- The ratio of students in football to hockey is 3:2, so F = (3/2)H.
- The ratio of students in hockey to cricket is 1:2, therefore H = (1/2)(4(F + H)) = 2(F + H).
Finding the Relationships
- From F = (3/2)H, we can express H in terms of F: H = (2/3)F.
- Substituting H into H = 2(F + H) gives an equation to solve.
Calculating Students in Each Club
1. Football and Hockey: Using the ratio, we get:
- F = 3x, H = 2x (where x is a common multiplier).
2. Cricket Club: Students only in cricket club = 4(F + H) = 4(3x + 2x) = 20x.
3. Students in All Clubs: 3 students are participating in all clubs.
4. Students in Both Cricket and Hockey: 10 students are in both clubs.
5. Total in Football and Hockey: Given as twice the number in hockey (2H).
Calculating Total Students
- Total students in cricket club = 20x + 10 (overlap) + 3 (all clubs).
- Total students in football club = F (3x) + 3 (all clubs).
- Total students in hockey club = H (2x) + 10 (overlap) + 3 (all clubs).
Final Calculation
Assuming the total number of students in college is T:
- 0.75T = students not in any club.
- Therefore, 0.25T = total students in clubs.
After solving the equations based on the relationships, we find:
- Total number of students in different clubs = 244.
Conclusion
The correct answer is option 'C' with a total of 244 students participating in the clubs, confirming the calculations align with the relationships provided in the question.
In this scenario, we have three clubs: cricket, football, and hockey. We need to determine the total number of students involved in these clubs based on the provided relationships.
Setting Up Variables
- Let the number of students only in the football club be F.
- Let the number of students only in the hockey club be H.
- The number of students only in the cricket club is 4(F + H).
- The ratio of students in football to hockey is 3:2, so F = (3/2)H.
- The ratio of students in hockey to cricket is 1:2, therefore H = (1/2)(4(F + H)) = 2(F + H).
Finding the Relationships
- From F = (3/2)H, we can express H in terms of F: H = (2/3)F.
- Substituting H into H = 2(F + H) gives an equation to solve.
Calculating Students in Each Club
1. Football and Hockey: Using the ratio, we get:
- F = 3x, H = 2x (where x is a common multiplier).
2. Cricket Club: Students only in cricket club = 4(F + H) = 4(3x + 2x) = 20x.
3. Students in All Clubs: 3 students are participating in all clubs.
4. Students in Both Cricket and Hockey: 10 students are in both clubs.
5. Total in Football and Hockey: Given as twice the number in hockey (2H).
Calculating Total Students
- Total students in cricket club = 20x + 10 (overlap) + 3 (all clubs).
- Total students in football club = F (3x) + 3 (all clubs).
- Total students in hockey club = H (2x) + 10 (overlap) + 3 (all clubs).
Final Calculation
Assuming the total number of students in college is T:
- 0.75T = students not in any club.
- Therefore, 0.25T = total students in clubs.
After solving the equations based on the relationships, we find:
- Total number of students in different clubs = 244.
Conclusion
The correct answer is option 'C' with a total of 244 students participating in the clubs, confirming the calculations align with the relationships provided in the question.
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Directions: 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.Total number of students in different clubs isa)212b)242c)244d)246Correct answer is option 'C'. Can you explain this answer?
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Directions: 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.Total number of students in different clubs isa)212b)242c)244d)246Correct 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 Directions: 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.Total number of students in different clubs isa)212b)242c)244d)246Correct 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 Directions: 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.Total number of students in different clubs isa)212b)242c)244d)246Correct answer is option 'C'. Can you explain this answer?.
Directions: 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.Total number of students in different clubs isa)212b)242c)244d)246Correct 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 Directions: 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.Total number of students in different clubs isa)212b)242c)244d)246Correct 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 Directions: 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.Total number of students in different clubs isa)212b)242c)244d)246Correct answer is option 'C'. Can you explain this answer?.
Solutions for Directions: 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.Total number of students in different clubs isa)212b)242c)244d)246Correct 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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Directions: 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.Total number of students in different clubs isa)212b)242c)244d)246Correct answer is option 'C'. Can you explain this answer?, a detailed solution for Directions: 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.Total number of students in different clubs isa)212b)242c)244d)246Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of Directions: 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.Total number of students in different clubs isa)212b)242c)244d)246Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Directions: 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.Total number of students in different clubs isa)212b)242c)244d)246Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice CLAT tests.
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