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Instructions
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. If the numbers of students enrolled in K and L are in the ratio 19:22, then what is the number of students enrolled in L?
  • a)
    18
  • b)
    17
  • c)
    22
  • d)
    19
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
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
⇒ y = 5

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}
It is given that the numbers of students enrolled in K and L are in the ratio 19:22.

z = 1 which is a possible solution as well.
In this case the number of students enrolled in L = 23 - z = 23 - 1 = 22. Hence, option C is the correct answer.
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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.If the numbers of students enrolled in K and L are in the ratio 19:22, then what is the number of students enrolled in L?a)18b)17c)22d)19Correct answer is option 'C'. Can you explain this answer?
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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.If the numbers of students enrolled in K and L are in the ratio 19:22, then what is the number of students enrolled in L?a)18b)17c)22d)19Correct answer is option 'C'. 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.If the numbers of students enrolled in K and L are in the ratio 19:22, then what is the number of students enrolled in L?a)18b)17c)22d)19Correct answer is option 'C'. 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.If the numbers of students enrolled in K and L are in the ratio 19:22, then what is the number of students enrolled in L?a)18b)17c)22d)19Correct answer is option 'C'. 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.If the numbers of students enrolled in K and L are in the ratio 19:22, then what is the number of students enrolled in L?a)18b)17c)22d)19Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT. Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free.
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.If the numbers of students enrolled in K and L are in the ratio 19:22, then what is the number of students enrolled in L?a)18b)17c)22d)19Correct answer is option 'C'. 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.If the numbers of students enrolled in K and L are in the ratio 19:22, then what is the number of students enrolled in L?a)18b)17c)22d)19Correct answer is option 'C'. 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.If the numbers of students enrolled in K and L are in the ratio 19:22, then what is the number of students enrolled in L?a)18b)17c)22d)19Correct answer is option 'C'. 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.If the numbers of students enrolled in K and L are in the ratio 19:22, then what is the number of students enrolled in L?a)18b)17c)22d)19Correct answer is option 'C'. 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.If the numbers of students enrolled in K and L are in the ratio 19:22, then what is the number of students enrolled in L?a)18b)17c)22d)19Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice CAT tests.
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