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Fun Sports (FS) provides training in three sports - Gilli-danda (G), Kho-Kho (K), and Ludo (L). Currently it has an enrollment of 39 students each of whom is enrolled in at least one of the three sports. The following details are known:
1. The number of students enrolled only in L is double the number of students enrolled in all the three sports.
2. There are a total of 17 students enrolled in G.
3. The number of students enrolled only in G is one less than the number of students enrolled only in L.
4. The number of students enrolled only in K is equal to the number of students who are enrolled in both K and L.
5. The maximum student enrollment is in L.
6. Ten students enrolled in G are also enrolled in at least one more sport.
Q. What is the minimum number of students enrolled in both G and L but not in K?
Fun Sports (FS) provides training in three sports - Gilli-danda (G), Kho-Kho (K), and Ludo (L). Currently it has an enrollment of 39 students each of whom is enrolled in at least one of the three sports. The following details are known:
1. The number of students enrolled only in L is double the number of students enrolled in all the three sports.
2. There are a total of 17 students enrolled in G.
3. The number of students enrolled only in G is one less than the number of students enrolled only in L.
4. The number of students enrolled only in K is equal to the number of students who are enrolled in both K and L.
5. The maximum student enrollment is in L.
6. Ten students enrolled in G are also enrolled in at least one more sport.
Q. What is the minimum number of students enrolled in both G and L but not in K?
Correct answer is '4'. Can you explain this answer?
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InstructionsFun Sports (FS) provides training in three sports - Gilli-...
Let 'x' be the number of students enrolled in all three sports. Then the number of students enrolled only in L = 2x It is given that there are a total of 17 students enrolled in G. Also, ten students enrolled in G are also enrolled in at least one more sport. Hence, the number of students enrolled in only G = 17 - 10 = 7
The number of students enrolled only in G is one less than the number of students enrolled only in L. Hence, the number of students enrolled only in L = 7+1
Let us assume that 'y' students are enrolled in K and L but not G. Then, the number of students enrolled only in K = y + 4
Let us assume that 'z' be the the number of students enrolled in G and K but not L. Then, the number of students enrolled G and L bot not K = 10 - 4 - z = 6 - z
It is given that a total of 39 students in the sports.
7 + z + 4 + 6 - z + 8 + y + y + 4 = 39
Number of students enrolled in G = 17
Number of students enrolled in K = 9 + 4 + 5 + z = 18 + z
Number of students enrolled in L = 6 - z + 4 + 5 + 8 = 23 - z
It is given that the maximum student enrollment is in L.
Therefore, we can say that z can take three values = {0, 1, 2} The number of students enrolled in both G and L but not in K = 6 - z. This number will be minimum when 'z' is maximum. z_{max} = 2 Therefore, the minimum number of students enrolled in both G and L but not in K = 6 - 2 = 4
The number of students enrolled only in G is one less than the number of students enrolled only in L. Hence, the number of students enrolled only in L = 7+1
Let us assume that 'y' students are enrolled in K and L but not G. Then, the number of students enrolled only in K = y + 4
Let us assume that 'z' be the the number of students enrolled in G and K but not L. Then, the number of students enrolled G and L bot not K = 10 - 4 - z = 6 - z
It is given that a total of 39 students in the sports.
7 + z + 4 + 6 - z + 8 + y + y + 4 = 39
Number of students enrolled in G = 17
Number of students enrolled in K = 9 + 4 + 5 + z = 18 + z
Number of students enrolled in L = 6 - z + 4 + 5 + 8 = 23 - z
It is given that the maximum student enrollment is in L.
Therefore, we can say that z can take three values = {0, 1, 2} The number of students enrolled in both G and L but not in K = 6 - z. This number will be minimum when 'z' is maximum. z_{max} = 2 Therefore, the minimum number of students enrolled in both G and L but not in K = 6 - 2 = 4
Most Upvoted Answer
InstructionsFun Sports (FS) provides training in three sports - Gilli-...
Understanding the Problem
- Total students enrolled: 39
- Sports: Gilli-danda (G), Kho-Kho (K), Ludo (L)
Key Points from the Information Given
- Students enrolled only in L (denote as x) = 2 * Students in all three sports (denote as z)
- Total students in G = 17
- Students only in G (denote as a) = x - 1 (one less than only L)
- Students only in K (denote as b) = Students in both K and L (denote as c)
- Maximum enrollment is in L
- Ten students in G are also in at least one other sport
Defining Variables
- Let:
- z = students in all three sports
- x = students only in L = 2z
- a = students only in G = x - 1
- b = students only in K
- c = students in both K and L
- d = students in both G and K
- e = students in both G and L but not in K
Setting Up the Equations
1. Total Enrollment: a + b + c + d + e + z + x = 39
2. From the information provided:
- a + z + e + d + 10 (students in G who are in other sports) = 17
- Since x = 2z, we can express everything in terms of z.
Calculating Minimum Enrollment in G and L
- Substituting values, we find that:
- Maximum for L leads to b being less than or equal to c.
- The equation balances out with z = 2, leading to x = 4.
- To maintain the integrity of students in G and L:
- e (students in G and L but not K) = 4.
Conclusion
The minimum number of students enrolled in both G and L but not in K is 4. This is derived from balancing the equations and ensuring all conditions are met while maintaining enrollment limits.
- Total students enrolled: 39
- Sports: Gilli-danda (G), Kho-Kho (K), Ludo (L)
Key Points from the Information Given
- Students enrolled only in L (denote as x) = 2 * Students in all three sports (denote as z)
- Total students in G = 17
- Students only in G (denote as a) = x - 1 (one less than only L)
- Students only in K (denote as b) = Students in both K and L (denote as c)
- Maximum enrollment is in L
- Ten students in G are also in at least one other sport
Defining Variables
- Let:
- z = students in all three sports
- x = students only in L = 2z
- a = students only in G = x - 1
- b = students only in K
- c = students in both K and L
- d = students in both G and K
- e = students in both G and L but not in K
Setting Up the Equations
1. Total Enrollment: a + b + c + d + e + z + x = 39
2. From the information provided:
- a + z + e + d + 10 (students in G who are in other sports) = 17
- Since x = 2z, we can express everything in terms of z.
Calculating Minimum Enrollment in G and L
- Substituting values, we find that:
- Maximum for L leads to b being less than or equal to c.
- The equation balances out with z = 2, leading to x = 4.
- To maintain the integrity of students in G and L:
- e (students in G and L but not K) = 4.
Conclusion
The minimum number of students enrolled in both G and L but not in K is 4. This is derived from balancing the equations and ensuring all conditions are met while maintaining enrollment limits.
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InstructionsFun Sports (FS) provides training in three sports - Gilli-danda (G), Kho-Kho (K), and Ludo (L). Currently it has an enrollment of 39 students each of whom is enrolled in at least one of the three sports. The following details are known:1. The number of students enrolled only in L is double the number of students enrolled in all the three sports.2. There are a total of 17 students enrolled in G.3. The number of students enrolled only in G is one less than the number of students enrolled only in L.4. The number of students enrolled only in K is equal to the number of students who are enrolled in both K and L.5. The maximum student enrollment is in L.6. Ten students enrolled in G are also enrolled in at least one more sport.Q.What is the minimum number of students enrolled in both G and L but not in K?Correct answer is '4'. Can you explain this answer?
Question Description
InstructionsFun Sports (FS) provides training in three sports - Gilli-danda (G), Kho-Kho (K), and Ludo (L). Currently it has an enrollment of 39 students each of whom is enrolled in at least one of the three sports. The following details are known:1. The number of students enrolled only in L is double the number of students enrolled in all the three sports.2. There are a total of 17 students enrolled in G.3. The number of students enrolled only in G is one less than the number of students enrolled only in L.4. The number of students enrolled only in K is equal to the number of students who are enrolled in both K and L.5. The maximum student enrollment is in L.6. Ten students enrolled in G are also enrolled in at least one more sport.Q.What is the minimum number of students enrolled in both G and L but not in K?Correct answer is '4'. 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 InstructionsFun Sports (FS) provides training in three sports - Gilli-danda (G), Kho-Kho (K), and Ludo (L). Currently it has an enrollment of 39 students each of whom is enrolled in at least one of the three sports. The following details are known:1. The number of students enrolled only in L is double the number of students enrolled in all the three sports.2. There are a total of 17 students enrolled in G.3. The number of students enrolled only in G is one less than the number of students enrolled only in L.4. The number of students enrolled only in K is equal to the number of students who are enrolled in both K and L.5. The maximum student enrollment is in L.6. Ten students enrolled in G are also enrolled in at least one more sport.Q.What is the minimum number of students enrolled in both G and L but not in K?Correct answer is '4'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for InstructionsFun Sports (FS) provides training in three sports - Gilli-danda (G), Kho-Kho (K), and Ludo (L). Currently it has an enrollment of 39 students each of whom is enrolled in at least one of the three sports. The following details are known:1. The number of students enrolled only in L is double the number of students enrolled in all the three sports.2. There are a total of 17 students enrolled in G.3. The number of students enrolled only in G is one less than the number of students enrolled only in L.4. The number of students enrolled only in K is equal to the number of students who are enrolled in both K and L.5. The maximum student enrollment is in L.6. Ten students enrolled in G are also enrolled in at least one more sport.Q.What is the minimum number of students enrolled in both G and L but not in K?Correct answer is '4'. Can you explain this answer?.
InstructionsFun Sports (FS) provides training in three sports - Gilli-danda (G), Kho-Kho (K), and Ludo (L). Currently it has an enrollment of 39 students each of whom is enrolled in at least one of the three sports. The following details are known:1. The number of students enrolled only in L is double the number of students enrolled in all the three sports.2. There are a total of 17 students enrolled in G.3. The number of students enrolled only in G is one less than the number of students enrolled only in L.4. The number of students enrolled only in K is equal to the number of students who are enrolled in both K and L.5. The maximum student enrollment is in L.6. Ten students enrolled in G are also enrolled in at least one more sport.Q.What is the minimum number of students enrolled in both G and L but not in K?Correct answer is '4'. 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 InstructionsFun Sports (FS) provides training in three sports - Gilli-danda (G), Kho-Kho (K), and Ludo (L). Currently it has an enrollment of 39 students each of whom is enrolled in at least one of the three sports. The following details are known:1. The number of students enrolled only in L is double the number of students enrolled in all the three sports.2. There are a total of 17 students enrolled in G.3. The number of students enrolled only in G is one less than the number of students enrolled only in L.4. The number of students enrolled only in K is equal to the number of students who are enrolled in both K and L.5. The maximum student enrollment is in L.6. Ten students enrolled in G are also enrolled in at least one more sport.Q.What is the minimum number of students enrolled in both G and L but not in K?Correct answer is '4'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for InstructionsFun Sports (FS) provides training in three sports - Gilli-danda (G), Kho-Kho (K), and Ludo (L). Currently it has an enrollment of 39 students each of whom is enrolled in at least one of the three sports. The following details are known:1. The number of students enrolled only in L is double the number of students enrolled in all the three sports.2. There are a total of 17 students enrolled in G.3. The number of students enrolled only in G is one less than the number of students enrolled only in L.4. The number of students enrolled only in K is equal to the number of students who are enrolled in both K and L.5. The maximum student enrollment is in L.6. Ten students enrolled in G are also enrolled in at least one more sport.Q.What is the minimum number of students enrolled in both G and L but not in K?Correct answer is '4'. Can you explain this answer?.
Solutions for InstructionsFun Sports (FS) provides training in three sports - Gilli-danda (G), Kho-Kho (K), and Ludo (L). Currently it has an enrollment of 39 students each of whom is enrolled in at least one of the three sports. The following details are known:1. The number of students enrolled only in L is double the number of students enrolled in all the three sports.2. There are a total of 17 students enrolled in G.3. The number of students enrolled only in G is one less than the number of students enrolled only in L.4. The number of students enrolled only in K is equal to the number of students who are enrolled in both K and L.5. The maximum student enrollment is in L.6. Ten students enrolled in G are also enrolled in at least one more sport.Q.What is the minimum number of students enrolled in both G and L but not in K?Correct answer is '4'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT.
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Here you can find the meaning of InstructionsFun Sports (FS) provides training in three sports - Gilli-danda (G), Kho-Kho (K), and Ludo (L). Currently it has an enrollment of 39 students each of whom is enrolled in at least one of the three sports. The following details are known:1. The number of students enrolled only in L is double the number of students enrolled in all the three sports.2. There are a total of 17 students enrolled in G.3. The number of students enrolled only in G is one less than the number of students enrolled only in L.4. The number of students enrolled only in K is equal to the number of students who are enrolled in both K and L.5. The maximum student enrollment is in L.6. Ten students enrolled in G are also enrolled in at least one more sport.Q.What is the minimum number of students enrolled in both G and L but not in K?Correct answer is '4'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
InstructionsFun Sports (FS) provides training in three sports - Gilli-danda (G), Kho-Kho (K), and Ludo (L). Currently it has an enrollment of 39 students each of whom is enrolled in at least one of the three sports. The following details are known:1. The number of students enrolled only in L is double the number of students enrolled in all the three sports.2. There are a total of 17 students enrolled in G.3. The number of students enrolled only in G is one less than the number of students enrolled only in L.4. The number of students enrolled only in K is equal to the number of students who are enrolled in both K and L.5. The maximum student enrollment is in L.6. Ten students enrolled in G are also enrolled in at least one more sport.Q.What is the minimum number of students enrolled in both G and L but not in K?Correct answer is '4'. Can you explain this answer?, a detailed solution for InstructionsFun Sports (FS) provides training in three sports - Gilli-danda (G), Kho-Kho (K), and Ludo (L). Currently it has an enrollment of 39 students each of whom is enrolled in at least one of the three sports. The following details are known:1. The number of students enrolled only in L is double the number of students enrolled in all the three sports.2. There are a total of 17 students enrolled in G.3. The number of students enrolled only in G is one less than the number of students enrolled only in L.4. The number of students enrolled only in K is equal to the number of students who are enrolled in both K and L.5. The maximum student enrollment is in L.6. Ten students enrolled in G are also enrolled in at least one more sport.Q.What is the minimum number of students enrolled in both G and L but not in K?Correct answer is '4'. Can you explain this answer? has been provided alongside types of InstructionsFun Sports (FS) provides training in three sports - Gilli-danda (G), Kho-Kho (K), and Ludo (L). Currently it has an enrollment of 39 students each of whom is enrolled in at least one of the three sports. The following details are known:1. The number of students enrolled only in L is double the number of students enrolled in all the three sports.2. There are a total of 17 students enrolled in G.3. The number of students enrolled only in G is one less than the number of students enrolled only in L.4. The number of students enrolled only in K is equal to the number of students who are enrolled in both K and L.5. The maximum student enrollment is in L.6. Ten students enrolled in G are also enrolled in at least one more sport.Q.What is the minimum number of students enrolled in both G and L but not in K?Correct answer is '4'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice InstructionsFun Sports (FS) provides training in three sports - Gilli-danda (G), Kho-Kho (K), and Ludo (L). Currently it has an enrollment of 39 students each of whom is enrolled in at least one of the three sports. The following details are known:1. The number of students enrolled only in L is double the number of students enrolled in all the three sports.2. There are a total of 17 students enrolled in G.3. The number of students enrolled only in G is one less than the number of students enrolled only in L.4. The number of students enrolled only in K is equal to the number of students who are enrolled in both K and L.5. The maximum student enrollment is in L.6. Ten students enrolled in G are also enrolled in at least one more sport.Q.What is the minimum number of students enrolled in both G and L but not in K?Correct answer is '4'. Can you explain this answer? tests, examples and also practice CAT tests.
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