All Courses
Explore Courses UPSC Exam UPSC Test Series Free Notes EduRev Infinity Get the App Login Join for Free
Sign in Open App
CAT Exam  >  CAT Questions  >  InstructionsFun Sports (FS) provides training... Start Learning for Free
SaveJoin the Discussion on the App
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. Due to academic pressure, students who were enrolled in all three sports were asked to withdraw from one of the three sports. After the withdrawal, the number of students enrolled in G was six less than the number of students enrolled in L, while the number of students enrolled in K went down by one. After the withdrawal, how many students were enrolled in both G and L?
  • a)
    6
  • b)
    5
  • c)
    7
  • d)
    8
Correct answer is option 'A'. Can you explain this answer?
FREE This question is part of
Download PDF Attempt Test
Download PDF Attempt this Test
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} Hence, the number of students enrolled in K = 18 + z = {18, 19, 20} It is given that after withdrawal the number of students enrolled in K went down by one. This one student must have left sports K. Hence we can say that the remaining 3 students must have left either G or L.
Before withdraw there were a total of 24 students were enrolled in exactly 1 sports, 11 students were enrolled in exactly 2 courses and 4 students were enrolled in all three courses.
The students which were enrolled in all three sports, withdrew from one of the sports. Hence, we can say that now the number of students who were enrolled in exactly 2 courses = 11 + 4 = 15.
It is given that the number of students enrolled in G was six less than the number of students enrolled in L. Let 'a' be the number of students who were enrolled in G and K but not L. Then, the number of students who were enrolled in L and K but not G = a + 5 Consequently, we can say that the number of students enrolled in G and L but not K = 15 - (2a + 5) = 10 - 2a

Number of students enrolled in this case = a + a+5 + 9 = 14 + 2a. We can see that '14+2a' is an even number. It is given that the number of students enrolled in K went down by one. Therefore, we can say that the number of students enrolled in K earlier was an odd number.
Hence, the number of students enrolled in K = 18 + z = {18, 19, 20} We can see that only '19' is an odd number. Hence, we can say that the number of students enrolled in K after withdrawal = 18


From the diagram we can see that the number of students enrolled in both G and L = 6. Hence, option A is the correct answer.
View all questions of this test
Most Upvoted Answer
InstructionsFun Sports (FS) provides training in three sports - Gilli-...
Analysis:

Given Information:
- Total number of students = 39
- Number of students enrolled only in L = 2 * (students enrolled in all three sports)
- Total students enrolled in G = 17
- Number of students enrolled only in G = Number of students enrolled only in L - 1
- Number of students enrolled only in K = Number of students enrolled in both K and L
- Maximum student enrollment is in L
- 10 students enrolled in G are also enrolled in at least one more sport

Calculation:
1. Let x be the number of students enrolled in all three sports.
2. Number of students enrolled only in L = 2x
3. Number of students enrolled only in G = 2x - 1
4. Number of students enrolled only in K = Number of students enrolled in both K and L = x
5. Total students enrolled in G = Number of students enrolled only in G + Number of students enrolled in both G and L = 17
6. Number of students enrolled in G and L after withdrawal = Number of students enrolled in both G and L - 6

Solution:
- Total students enrolled in G after withdrawal = 17 - 6 = 11
- Total students enrolled in K after withdrawal = x - 1
- Total students enrolled in L after withdrawal = 39 - (2x + 2x - 1 + x) = 39 - 3x + 1
- Since the maximum student enrollment is in L, we can say 39 - 3x + 1 = 17
- Solving the equation, we get x = 7
- Number of students enrolled in both G and L after withdrawal = x = 7
Therefore, the correct answer is option A) 6 students were enrolled in both G and L after the withdrawal.
Attention CAT Students!
To make sure you are not studying endlessly, EduRev has designed CAT study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in CAT.
< Previous Question Next Question >
Explore Courses for CAT exam

Similar CAT Doubts

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.Due to academic pressure, students who were enrolled in all three sports were asked to withdraw from one of the three sports. After the withdrawal, the number of students enrolled in G was six less than the number of students enrolled in L, while the number of students enrolled in K went down by one. After the withdrawal, how many students were enrolled in both G and K? Correct answer is '2'. 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?

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?

There were seven elective courses - El to E7 - running in a specific term in a college. Each of the 300 students enrolled had chosen just one elective from among these seven. However, before the start of the term, E7 was withdrawn as the instructor concerned had left the college. The students who had opted for E7 were allowed to join any of the remaining electives, Also, the students who had chosen other electives were given one chance to change their choice. The table below captures the movement of the students from one elective to another during this process. Movement from one elective to the same elective simply means no movement. Some numbers in the table got accidentally erased; however, it is known that these were either 0 or 1. Further, the following are known: Before the change process there were 6 more students in El than in E4, but after the reshuffle, the number of students in E4 was 3 more than that in El. The number of students in E2 increased by 30 after the change process. Before the change process, E4 had 2 more students than E6, while E2 had 10 more students than E3Q.Later, the college imposed a condition that if after the change of electives, the enrollment in any elective (other than E7) dropped to less than 20 students, all the students who had left that course will be required to re­enroll for that elective.Which of the following is a correct sequence of electives in decreasing order of their final enrollments?

There were seven elective courses - El to E7 - running in a specific term in a college. Each of the 300 students enrolled had chosen just one elective from among these seven. However, before the start of the term, E7 was withdrawn as the instructor concerned had left the college. The students who had opted for E7 were allowed to join any of the remaining electives, Also, the students who had chosen other electives were given one chance to change their choice. The table below captures the movement of the students from one elective to another during this process. Movement from one elective to the same elective simply means no movement. Some numbers in the table got accidentally erased; however, it is known that these were either 0 or 1. Further, the following are known: Before the change process there were 6 more students in El than in E4, but after the reshuffle, the number of students in E4 was 3 more than that in El. The number of students in E2 increased by 30 after the change process. Before the change process, E4 had 2 more students than E6, while E2 had 10 more students than E3Q.After the change process, which course among El to E6 had the largest change in its enrollment as a percentage of its original enrollment?

Top Courses for CATView all

Top Courses for CAT

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.Due to academic pressure, students who were enrolled in all three sports were asked to withdraw from one of the three sports. After the withdrawal, the number of students enrolled in G was six less than the number of students enrolled in L, while the number of students enrolled in K went down by one. After the withdrawal, how many students were enrolled in both G and L?a)6b)5c)7d)8Correct answer is option 'A'. 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.Due to academic pressure, students who were enrolled in all three sports were asked to withdraw from one of the three sports. After the withdrawal, the number of students enrolled in G was six less than the number of students enrolled in L, while the number of students enrolled in K went down by one. After the withdrawal, how many students were enrolled in both G and L?a)6b)5c)7d)8Correct answer is option 'A'. 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.Due to academic pressure, students who were enrolled in all three sports were asked to withdraw from one of the three sports. After the withdrawal, the number of students enrolled in G was six less than the number of students enrolled in L, while the number of students enrolled in K went down by one. After the withdrawal, how many students were enrolled in both G and L?a)6b)5c)7d)8Correct answer is option 'A'. 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.Due to academic pressure, students who were enrolled in all three sports were asked to withdraw from one of the three sports. After the withdrawal, the number of students enrolled in G was six less than the number of students enrolled in L, while the number of students enrolled in K went down by one. After the withdrawal, how many students were enrolled in both G and L?a)6b)5c)7d)8Correct answer is option 'A'. 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.Due to academic pressure, students who were enrolled in all three sports were asked to withdraw from one of the three sports. After the withdrawal, the number of students enrolled in G was six less than the number of students enrolled in L, while the number of students enrolled in K went down by one. After the withdrawal, how many students were enrolled in both G and L?a)6b)5c)7d)8Correct answer is option 'A'. 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.Due to academic pressure, students who were enrolled in all three sports were asked to withdraw from one of the three sports. After the withdrawal, the number of students enrolled in G was six less than the number of students enrolled in L, while the number of students enrolled in K went down by one. After the withdrawal, how many students were enrolled in both G and L?a)6b)5c)7d)8Correct answer is option 'A'. 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.Due to academic pressure, students who were enrolled in all three sports were asked to withdraw from one of the three sports. After the withdrawal, the number of students enrolled in G was six less than the number of students enrolled in L, while the number of students enrolled in K went down by one. After the withdrawal, how many students were enrolled in both G and L?a)6b)5c)7d)8Correct answer is option 'A'. 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.Due to academic pressure, students who were enrolled in all three sports were asked to withdraw from one of the three sports. After the withdrawal, the number of students enrolled in G was six less than the number of students enrolled in L, while the number of students enrolled in K went down by one. After the withdrawal, how many students were enrolled in both G and L?a)6b)5c)7d)8Correct answer is option 'A'. 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.Due to academic pressure, students who were enrolled in all three sports were asked to withdraw from one of the three sports. After the withdrawal, the number of students enrolled in G was six less than the number of students enrolled in L, while the number of students enrolled in K went down by one. After the withdrawal, how many students were enrolled in both G and L?a)6b)5c)7d)8Correct answer is option 'A'. 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.Due to academic pressure, students who were enrolled in all three sports were asked to withdraw from one of the three sports. After the withdrawal, the number of students enrolled in G was six less than the number of students enrolled in L, while the number of students enrolled in K went down by one. After the withdrawal, how many students were enrolled in both G and L?a)6b)5c)7d)8Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice CAT tests.
Explore Courses for CAT exam

Top Courses for CAT

Explore Courses

Suggested Free Tests

Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev
Get App
© EduRev
Education Revolution
Follow Us
Signup to see your scores go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup