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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. Find the number of students in football and hockey only.
- a)9
- b)13
- c)17
- d)21
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
The number of students in football and hockey only is 17.
where x = total no of students in college.
x = 976
The number of students in football and hockey only is 17.
Most Upvoted Answer
Directions: Study the following information and answer the given quest...
Given Information:
- There are three student clubs in a college: cricket club, football club, and hockey club.
- The number of students in the cricket club is 4 times the number of students in both the football and hockey clubs.
- The ratio of students in the football club to the students in the hockey club is 3:2.
- The ratio of students in the hockey club to the students in the cricket club is 1:2.
- 3 students are participating in all three clubs.
- The number of students in both the cricket and football clubs is the same as the number of students only in the hockey club.
- The number of students in both the cricket and hockey clubs is 10.
- The number of students in both the football and hockey clubs is twice.
Let's solve the problem step by step:
Step 1: Assign variables for the number of students in each club.
- Let x be the number of students only in the cricket club.
- Let y be the number of students only in the football club.
- Let z be the number of students only in the hockey club.
Step 2: Use the given information to form equations.
- From the given information, x = 4(y + z) since the number of students in the cricket club is 4 times the number of students in both the football and hockey clubs.
- The ratio of students in the football club to the students in the hockey club is 3:2, so we can write y/z = 3/2.
- The ratio of students in the hockey club to the students in the cricket club is 1:2, so we can write z/x = 1/2.
Step 3: Solve the equations formed in Step 2.
- From the equation y/z = 3/2, we can solve for y in terms of z: y = (3/2)z.
- From the equation z/x = 1/2, we can solve for z in terms of x: z = (1/2)x.
- Substitute the value of z in terms of x in the equation y = (3/2)z: y = (3/2)(1/2)x = (3/4)x.
Step 4: Use the given information to form additional equations.
- 3 students are participating in all three clubs, so x + y + z + 3 = total number of students in the college.
- The number of students in both the cricket and football clubs is the same as the number of students only in the hockey club, so x + y = z.
- The number of students in both the cricket and hockey clubs is 10, so x + 10 = z.
- The number of students in both the football and hockey clubs is twice, so y + z = 2(3) = 6.
Step 5: Solve the additional equations formed in Step 4.
- Substitute the value of z in terms of x in the equation x + y = z: x + y = (3/4)x.
- Substitute the value of x + 10 for z in the equation x + y = z: x + y = x + 10.
- Simplify the equation x + y = x + 10
- There are three student clubs in a college: cricket club, football club, and hockey club.
- The number of students in the cricket club is 4 times the number of students in both the football and hockey clubs.
- The ratio of students in the football club to the students in the hockey club is 3:2.
- The ratio of students in the hockey club to the students in the cricket club is 1:2.
- 3 students are participating in all three clubs.
- The number of students in both the cricket and football clubs is the same as the number of students only in the hockey club.
- The number of students in both the cricket and hockey clubs is 10.
- The number of students in both the football and hockey clubs is twice.
Let's solve the problem step by step:
Step 1: Assign variables for the number of students in each club.
- Let x be the number of students only in the cricket club.
- Let y be the number of students only in the football club.
- Let z be the number of students only in the hockey club.
Step 2: Use the given information to form equations.
- From the given information, x = 4(y + z) since the number of students in the cricket club is 4 times the number of students in both the football and hockey clubs.
- The ratio of students in the football club to the students in the hockey club is 3:2, so we can write y/z = 3/2.
- The ratio of students in the hockey club to the students in the cricket club is 1:2, so we can write z/x = 1/2.
Step 3: Solve the equations formed in Step 2.
- From the equation y/z = 3/2, we can solve for y in terms of z: y = (3/2)z.
- From the equation z/x = 1/2, we can solve for z in terms of x: z = (1/2)x.
- Substitute the value of z in terms of x in the equation y = (3/2)z: y = (3/2)(1/2)x = (3/4)x.
Step 4: Use the given information to form additional equations.
- 3 students are participating in all three clubs, so x + y + z + 3 = total number of students in the college.
- The number of students in both the cricket and football clubs is the same as the number of students only in the hockey club, so x + y = z.
- The number of students in both the cricket and hockey clubs is 10, so x + 10 = z.
- The number of students in both the football and hockey clubs is twice, so y + z = 2(3) = 6.
Step 5: Solve the additional equations formed in Step 4.
- Substitute the value of z in terms of x in the equation x + y = z: x + y = (3/4)x.
- Substitute the value of x + 10 for z in the equation x + y = z: x + y = x + 10.
- Simplify the equation x + y = x + 10
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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. Find the number of students in football and hockey only.a)9b)13c)17d)21Correct 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. Find the number of students in football and hockey only.a)9b)13c)17d)21Correct 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. Find the number of students in football and hockey only.a)9b)13c)17d)21Correct 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. Find the number of students in football and hockey only.a)9b)13c)17d)21Correct 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. Find the number of students in football and hockey only.a)9b)13c)17d)21Correct 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. Find the number of students in football and hockey only.a)9b)13c)17d)21Correct 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. Find the number of students in football and hockey only.a)9b)13c)17d)21Correct 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. Find the number of students in football and hockey only.a)9b)13c)17d)21Correct 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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Here you can find the meaning 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. Find the number of students in football and hockey only.a)9b)13c)17d)21Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation 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. Find the number of students in football and hockey only.a)9b)13c)17d)21Correct 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. Find the number of students in football and hockey only.a)9b)13c)17d)21Correct 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. Find the number of students in football and hockey only.a)9b)13c)17d)21Correct 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. Find the number of students in football and hockey only.a)9b)13c)17d)21Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice CLAT tests.
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