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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 the college is
- a)848
- b)968
- c)976
- d)984
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 the college is 976.
Most Upvoted Answer
Directions: Study the following information and answer the given quest...
Total number of students in the college = Number of students in cricket club + Number of students in football club + Number of students in hockey club + Number of students not in any of these clubs
Let's solve the problem step by step.
Given information:
1. Number of students only in cricket club is 4 times the number of students in both football and hockey clubs.
2. Ratio of students only in football club to the students only in hockey club is 3:2.
3. Ratio of students only in hockey club to the students only in cricket club is 1:2.
4. 3 students are participating in all the clubs.
5. Number of students in both cricket and football clubs is the same as that of students only in the hockey club.
6. Students who are in both cricket and hockey clubs are 10.
7. The number of students in football and hockey clubs is twice.
Let's assign variables to the unknowns:
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.
Now let's solve the problem step by step:
Step 1: Number of students only in cricket club in terms of y and z.
Number of students only in cricket club = 4 * (y + z)
Step 2: Number of students only in football club in terms of z.
Number of students only in football club = 3/2 * (z + 3)
Step 3: Number of students only in hockey club in terms of x.
Number of students only in hockey club = 2/1 * (x + 3)
Step 4: Number of students in both cricket and football clubs in terms of z.
Number of students in both cricket and football clubs = z
Step 5: Number of students in both cricket and hockey clubs = 10
Step 6: Number of students in football and hockey clubs = 2 * (z + 3)
Step 7: Number of students not in any of these clubs = 75% of the total number of students
Number of students not in any of these clubs = 0.75 * (x + y + z + 10 + z + 2 * (z + 3))
Step 8: Total number of students in the college
Total number of students in the college = x + y + z + z + 3 + 10 + z + 2 * (z + 3) + 0.75 * (x + y + z + 10 + z + 2 * (z + 3))
Simplifying the expression:
Total number of students in the college = x + y + z + z + 3 + 10 + z + 2z + 6 + 0.75x + 0.75y + 0.75z + 7.5 + 1.5z + 9
Combining like terms:
Total number of students in the college = 1.75x + 0.75y + 5.25z + 35.5
Now we need to solve for the values of x, y, and z.
Step 9: Use the given ratios to find the values of x, y, and z.
From the ratio of students only in football club to the students
Let's solve the problem step by step.
Given information:
1. Number of students only in cricket club is 4 times the number of students in both football and hockey clubs.
2. Ratio of students only in football club to the students only in hockey club is 3:2.
3. Ratio of students only in hockey club to the students only in cricket club is 1:2.
4. 3 students are participating in all the clubs.
5. Number of students in both cricket and football clubs is the same as that of students only in the hockey club.
6. Students who are in both cricket and hockey clubs are 10.
7. The number of students in football and hockey clubs is twice.
Let's assign variables to the unknowns:
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.
Now let's solve the problem step by step:
Step 1: Number of students only in cricket club in terms of y and z.
Number of students only in cricket club = 4 * (y + z)
Step 2: Number of students only in football club in terms of z.
Number of students only in football club = 3/2 * (z + 3)
Step 3: Number of students only in hockey club in terms of x.
Number of students only in hockey club = 2/1 * (x + 3)
Step 4: Number of students in both cricket and football clubs in terms of z.
Number of students in both cricket and football clubs = z
Step 5: Number of students in both cricket and hockey clubs = 10
Step 6: Number of students in football and hockey clubs = 2 * (z + 3)
Step 7: Number of students not in any of these clubs = 75% of the total number of students
Number of students not in any of these clubs = 0.75 * (x + y + z + 10 + z + 2 * (z + 3))
Step 8: Total number of students in the college
Total number of students in the college = x + y + z + z + 3 + 10 + z + 2 * (z + 3) + 0.75 * (x + y + z + 10 + z + 2 * (z + 3))
Simplifying the expression:
Total number of students in the college = x + y + z + z + 3 + 10 + z + 2z + 6 + 0.75x + 0.75y + 0.75z + 7.5 + 1.5z + 9
Combining like terms:
Total number of students in the college = 1.75x + 0.75y + 5.25z + 35.5
Now we need to solve for the values of x, y, and z.
Step 9: Use the given ratios to find the values of x, y, and z.
From the ratio of students only in football club to the students
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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 the college isa)848b)968c)976d)984Correct 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 the college isa)848b)968c)976d)984Correct 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 the college isa)848b)968c)976d)984Correct 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 the college isa)848b)968c)976d)984Correct 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 the college isa)848b)968c)976d)984Correct 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 the college isa)848b)968c)976d)984Correct 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 the college isa)848b)968c)976d)984Correct 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 the college isa)848b)968c)976d)984Correct 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. Total number of students in the college isa)848b)968c)976d)984Correct 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. Total number of students in the college isa)848b)968c)976d)984Correct 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 the college isa)848b)968c)976d)984Correct 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 the college isa)848b)968c)976d)984Correct 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 the college isa)848b)968c)976d)984Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice CLAT tests.
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