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Instructions:
A B-school has 4 clubs - Sports, Dramatics, Literary, and Quiz. 60 students joined these clubs in the first year. A person can join only one of these 4 clubs. After the first year was over, some students did not like the club they joined and hence, moved from one club to another.
Further the following information is known:
No student moved from the quiz club to the sports club.
The number of students who moved from dramatics club to the sports club is the same as the number of students who moved from the sports club to the dramatics club. The same is the case with sports club and literary club as well.
The number of students who moved out from the sports and quiz clubs are equal.
The number of students who moved to the literary club is one more than the number of persons who moved to the sports club.
At least one student moved from the sports club to literary club.
The number of students who left the quiz club for the dramatics club and the literary club is the same.
A total of 21 students shifted from one club to another.
4 students moved out of dramatics club and 5 students moved out of literary club.
The number of students who joined sports club is exactly half the number of students who left it.
The number of students who left other clubs for dramatics club is 4 more than the number of students who left other clubs for the quiz club.
How many persons moved from the sports club to quiz club?
A B-school has 4 clubs - Sports, Dramatics, Literary, and Quiz. 60 students joined these clubs in the first year. A person can join only one of these 4 clubs. After the first year was over, some students did not like the club they joined and hence, moved from one club to another.
Further the following information is known:
No student moved from the quiz club to the sports club.
The number of students who moved from dramatics club to the sports club is the same as the number of students who moved from the sports club to the dramatics club. The same is the case with sports club and literary club as well.
The number of students who moved out from the sports and quiz clubs are equal.
The number of students who moved to the literary club is one more than the number of persons who moved to the sports club.
At least one student moved from the sports club to literary club.
The number of students who left the quiz club for the dramatics club and the literary club is the same.
A total of 21 students shifted from one club to another.
4 students moved out of dramatics club and 5 students moved out of literary club.
The number of students who joined sports club is exactly half the number of students who left it.
The number of students who left other clubs for dramatics club is 4 more than the number of students who left other clubs for the quiz club.
How many persons moved from the sports club to quiz club?
- a)0
- b)1
- c)2
- d)3
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
Instructions:A B-school has 4 clubs - Sports, Dramatics, Literary, and...
Let us start by tabulating the data available.
We have no information about the number of persons in each club.
The sports-sports cell in the table represents the number of persons from sports club who stayed in sports club. Since we do not have this information (we have information only regarding the movement from one club to another), let us mark all such cells with X.
The cell sports-dramatics (row-column) represents the number of students from sports club who left for dramatics club. Therefore, the cell sports-total will provide the number of students who left the sports club and the cell total-sports will provide the number of students who left other clubs for the sports club.
The number of persons who moved from dramatics club to the sports club is the same as the number of persons who moved from the sports club to the dramatics club. The same is the case with sports club and literary club as well. Let us use ‘a’ to denote the number of persons who moved from the dramatics club to the sports club and ‘b’ to denote the number of persons who moved from sports club to literary club. The number of persons who moved out of sports and quiz clubs is the same. Let us denote it by ‘c’.
A total of 21 students left one club for another. No person moved from the quiz club to sports club (quiz-sports = 0).
We have no information about the number of persons in each club.
The sports-sports cell in the table represents the number of persons from sports club who stayed in sports club. Since we do not have this information (we have information only regarding the movement from one club to another), let us mark all such cells with X.
The cell sports-dramatics (row-column) represents the number of students from sports club who left for dramatics club. Therefore, the cell sports-total will provide the number of students who left the sports club and the cell total-sports will provide the number of students who left other clubs for the sports club.
The number of persons who moved from dramatics club to the sports club is the same as the number of persons who moved from the sports club to the dramatics club. The same is the case with sports club and literary club as well. Let us use ‘a’ to denote the number of persons who moved from the dramatics club to the sports club and ‘b’ to denote the number of persons who moved from sports club to literary club. The number of persons who moved out of sports and quiz clubs is the same. Let us denote it by ‘c’.
A total of 21 students left one club for another. No person moved from the quiz club to sports club (quiz-sports = 0).
The number of persons who moved to the literary club is one more than the number of persons who moved to the sports club. Let the number of persons who moved to the literary club be ‘d+1’ and the number of persons who moved to the sports club be ‘d’.
The number of persons who left the quiz club for the dramatics club and the literary club is the same. Let us denote the number of persons who left the quiz club for dramatics club by ‘e’. 4 students moved out of dramatics club and 5 students moved out of literary club.
The number of persons who left the quiz club for the dramatics club and the literary club is the same. Let us denote the number of persons who left the quiz club for dramatics club by ‘e’. 4 students moved out of dramatics club and 5 students moved out of literary club.
As we can see from the table, c+c+4+5 =21
⇒ c = 6
The number of students who left other clubs for dramatics club is 4 more than the number of students who left other clubs for the quiz club.
Let the number of students who left other clubs for quiz club be ‘f’.
⇒ Number of students who left other clubs for dramatics club = f + 4.
The number of students who joined sports club is exactly half the number of students who left it. We know that 6 students left the sports club. Therefore, 3 students should have joined the sports club. ⇒ d = 3
We can see from the table that e + e = 6
⇒ e = 3
Let us fill the vacant cells with variables from g to k. We get the following table.
⇒ c = 6
The number of students who left other clubs for dramatics club is 4 more than the number of students who left other clubs for the quiz club.
Let the number of students who left other clubs for quiz club be ‘f’.
⇒ Number of students who left other clubs for dramatics club = f + 4.
The number of students who joined sports club is exactly half the number of students who left it. We know that 6 students left the sports club. Therefore, 3 students should have joined the sports club. ⇒ d = 3
We can see from the table that e + e = 6
⇒ e = 3
Let us fill the vacant cells with variables from g to k. We get the following table.
f + f + 4 + 3 + 4 = 21
⇒ 2f = 10
f = 5
a+b = 3
a+b+i = 6
⇒ i = 3
a+h+j = 4 --------------(1)
b+h = 1 ----------------(2)
a+b = 3 ----------------(3)
b+g+k = 5 -------------(4)
j + k = 2 --------------(5)
a+g = 6 ---------------(6)
Let us rewrite every variable in terms of 'a'.
b = 3-a
g =6-a
Substituting these values in (4), we get,
3-a+6-a+k = 5
9-2a+k = 5
k = 2a-4
Substituting the value of 'k' in (5), we get,
j+2a-4 = 2
j = 6-2a
(1)⇒ a+h+j = 4
a + h + 6 - 2a = 4
⇒ h = a - 2
It has been given that at least one student moved from Sports to Literary club. Therefore, the value of 'a' cannot be 3.
We know that k=2a-4. Therefore, the value of 'a' should be at least 2.
2 is the only value that falls within the range.
Solving the equations using a=2, we get the following table:
3 persons have moved from sports club to quiz club. Therefore, option D is the right answer.
⇒ 2f = 10
f = 5
a+b = 3
a+b+i = 6
⇒ i = 3
a+h+j = 4 --------------(1)
b+h = 1 ----------------(2)
a+b = 3 ----------------(3)
b+g+k = 5 -------------(4)
j + k = 2 --------------(5)
a+g = 6 ---------------(6)
Let us rewrite every variable in terms of 'a'.
b = 3-a
g =6-a
Substituting these values in (4), we get,
3-a+6-a+k = 5
9-2a+k = 5
k = 2a-4
Substituting the value of 'k' in (5), we get,
j+2a-4 = 2
j = 6-2a
(1)⇒ a+h+j = 4
a + h + 6 - 2a = 4
⇒ h = a - 2
It has been given that at least one student moved from Sports to Literary club. Therefore, the value of 'a' cannot be 3.
We know that k=2a-4. Therefore, the value of 'a' should be at least 2.
2 is the only value that falls within the range.
Solving the equations using a=2, we get the following table:
3 persons have moved from sports club to quiz club. Therefore, option D is the right answer.
Most Upvoted Answer
Instructions:A B-school has 4 clubs - Sports, Dramatics, Literary, and...
Analysis:
Given Information:
- Total number of students = 60
- Total number of students who shifted clubs = 21
- 4 students moved out of dramatics club
- 5 students moved out of literary club
Key Points:
- No student moved from quiz club to sports club
- Number of students who moved from sports to dramatics = Number of students who moved from dramatics to sports
- Number of students who moved from sports to literary = Number of students who moved from literary to sports
- Number of students who moved out from sports and quiz clubs are equal
- Number of students who moved to literary club = Number of students who moved to sports club + 1
- At least 1 student moved from sports to literary
- Number of students who left quiz for dramatics and literary clubs is the same
- Number of students who joined sports club = Half the number of students who left it
- Number of students who left other clubs for dramatics = 4 more than those who left for quiz club
Solution:
- Let's assume the number of students who moved from sports club to quiz club is x.
- Number of students who left sports club = x/2
- Number of students who left other clubs for dramatics = x + 4
- Number of students who left other clubs for quiz = x
Now, using the information that 21 students shifted clubs, we can form the equation:
x + x/2 + x + 4 + x = 21
4x/2 + 4 = 21
2x + 4 = 21
2x = 17
x = 8.5
Since x must be a whole number, the number of students who moved from sports club to quiz club is 3 (closest whole number to 8.5).
Therefore, the number of persons who moved from the sports club to the quiz club is 3.
Given Information:
- Total number of students = 60
- Total number of students who shifted clubs = 21
- 4 students moved out of dramatics club
- 5 students moved out of literary club
Key Points:
- No student moved from quiz club to sports club
- Number of students who moved from sports to dramatics = Number of students who moved from dramatics to sports
- Number of students who moved from sports to literary = Number of students who moved from literary to sports
- Number of students who moved out from sports and quiz clubs are equal
- Number of students who moved to literary club = Number of students who moved to sports club + 1
- At least 1 student moved from sports to literary
- Number of students who left quiz for dramatics and literary clubs is the same
- Number of students who joined sports club = Half the number of students who left it
- Number of students who left other clubs for dramatics = 4 more than those who left for quiz club
Solution:
- Let's assume the number of students who moved from sports club to quiz club is x.
- Number of students who left sports club = x/2
- Number of students who left other clubs for dramatics = x + 4
- Number of students who left other clubs for quiz = x
Now, using the information that 21 students shifted clubs, we can form the equation:
x + x/2 + x + 4 + x = 21
4x/2 + 4 = 21
2x + 4 = 21
2x = 17
x = 8.5
Since x must be a whole number, the number of students who moved from sports club to quiz club is 3 (closest whole number to 8.5).
Therefore, the number of persons who moved from the sports club to the quiz club is 3.
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Instructions:A B-school has 4 clubs - Sports, Dramatics, Literary, and Quiz. 60 students joined these clubs in the first year. A person can join only one of these 4 clubs. After the first year was over, some students did not like the club they joined and hence, moved from one club to another.Further the following information is known:No student moved from the quiz club to the sports club.The number of students who moved from dramatics club to the sports club is the same as the number of students who moved from the sports club to the dramatics club. The same is the case with sports club and literary club as well.The number of students who moved out from the sports and quiz clubs are equal.The number of students who moved to the literary club is one more than the number of persons who moved to the sports club.At least one student moved from the sports club to literary club.The number of students who left the quiz club for the dramatics club and the literary club is the same.A total of 21 students shifted from one club to another.4 students moved out of dramatics club and 5 students moved out of literary club.The number of students who joined sports club is exactly half the number of students who left it.The number of students who left other clubs for dramatics club is 4 more than the number of students who left other clubs for the quiz club.How many persons moved from the sports club to quiz club?a)0b)1c)2d)3Correct answer is option 'D'. Can you explain this answer?
Question Description
Instructions:A B-school has 4 clubs - Sports, Dramatics, Literary, and Quiz. 60 students joined these clubs in the first year. A person can join only one of these 4 clubs. After the first year was over, some students did not like the club they joined and hence, moved from one club to another.Further the following information is known:No student moved from the quiz club to the sports club.The number of students who moved from dramatics club to the sports club is the same as the number of students who moved from the sports club to the dramatics club. The same is the case with sports club and literary club as well.The number of students who moved out from the sports and quiz clubs are equal.The number of students who moved to the literary club is one more than the number of persons who moved to the sports club.At least one student moved from the sports club to literary club.The number of students who left the quiz club for the dramatics club and the literary club is the same.A total of 21 students shifted from one club to another.4 students moved out of dramatics club and 5 students moved out of literary club.The number of students who joined sports club is exactly half the number of students who left it.The number of students who left other clubs for dramatics club is 4 more than the number of students who left other clubs for the quiz club.How many persons moved from the sports club to quiz club?a)0b)1c)2d)3Correct answer is option 'D'. 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 Instructions:A B-school has 4 clubs - Sports, Dramatics, Literary, and Quiz. 60 students joined these clubs in the first year. A person can join only one of these 4 clubs. After the first year was over, some students did not like the club they joined and hence, moved from one club to another.Further the following information is known:No student moved from the quiz club to the sports club.The number of students who moved from dramatics club to the sports club is the same as the number of students who moved from the sports club to the dramatics club. The same is the case with sports club and literary club as well.The number of students who moved out from the sports and quiz clubs are equal.The number of students who moved to the literary club is one more than the number of persons who moved to the sports club.At least one student moved from the sports club to literary club.The number of students who left the quiz club for the dramatics club and the literary club is the same.A total of 21 students shifted from one club to another.4 students moved out of dramatics club and 5 students moved out of literary club.The number of students who joined sports club is exactly half the number of students who left it.The number of students who left other clubs for dramatics club is 4 more than the number of students who left other clubs for the quiz club.How many persons moved from the sports club to quiz club?a)0b)1c)2d)3Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Instructions:A B-school has 4 clubs - Sports, Dramatics, Literary, and Quiz. 60 students joined these clubs in the first year. A person can join only one of these 4 clubs. After the first year was over, some students did not like the club they joined and hence, moved from one club to another.Further the following information is known:No student moved from the quiz club to the sports club.The number of students who moved from dramatics club to the sports club is the same as the number of students who moved from the sports club to the dramatics club. The same is the case with sports club and literary club as well.The number of students who moved out from the sports and quiz clubs are equal.The number of students who moved to the literary club is one more than the number of persons who moved to the sports club.At least one student moved from the sports club to literary club.The number of students who left the quiz club for the dramatics club and the literary club is the same.A total of 21 students shifted from one club to another.4 students moved out of dramatics club and 5 students moved out of literary club.The number of students who joined sports club is exactly half the number of students who left it.The number of students who left other clubs for dramatics club is 4 more than the number of students who left other clubs for the quiz club.How many persons moved from the sports club to quiz club?a)0b)1c)2d)3Correct answer is option 'D'. Can you explain this answer?.
Instructions:A B-school has 4 clubs - Sports, Dramatics, Literary, and Quiz. 60 students joined these clubs in the first year. A person can join only one of these 4 clubs. After the first year was over, some students did not like the club they joined and hence, moved from one club to another.Further the following information is known:No student moved from the quiz club to the sports club.The number of students who moved from dramatics club to the sports club is the same as the number of students who moved from the sports club to the dramatics club. The same is the case with sports club and literary club as well.The number of students who moved out from the sports and quiz clubs are equal.The number of students who moved to the literary club is one more than the number of persons who moved to the sports club.At least one student moved from the sports club to literary club.The number of students who left the quiz club for the dramatics club and the literary club is the same.A total of 21 students shifted from one club to another.4 students moved out of dramatics club and 5 students moved out of literary club.The number of students who joined sports club is exactly half the number of students who left it.The number of students who left other clubs for dramatics club is 4 more than the number of students who left other clubs for the quiz club.How many persons moved from the sports club to quiz club?a)0b)1c)2d)3Correct answer is option 'D'. 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 Instructions:A B-school has 4 clubs - Sports, Dramatics, Literary, and Quiz. 60 students joined these clubs in the first year. A person can join only one of these 4 clubs. After the first year was over, some students did not like the club they joined and hence, moved from one club to another.Further the following information is known:No student moved from the quiz club to the sports club.The number of students who moved from dramatics club to the sports club is the same as the number of students who moved from the sports club to the dramatics club. The same is the case with sports club and literary club as well.The number of students who moved out from the sports and quiz clubs are equal.The number of students who moved to the literary club is one more than the number of persons who moved to the sports club.At least one student moved from the sports club to literary club.The number of students who left the quiz club for the dramatics club and the literary club is the same.A total of 21 students shifted from one club to another.4 students moved out of dramatics club and 5 students moved out of literary club.The number of students who joined sports club is exactly half the number of students who left it.The number of students who left other clubs for dramatics club is 4 more than the number of students who left other clubs for the quiz club.How many persons moved from the sports club to quiz club?a)0b)1c)2d)3Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Instructions:A B-school has 4 clubs - Sports, Dramatics, Literary, and Quiz. 60 students joined these clubs in the first year. A person can join only one of these 4 clubs. After the first year was over, some students did not like the club they joined and hence, moved from one club to another.Further the following information is known:No student moved from the quiz club to the sports club.The number of students who moved from dramatics club to the sports club is the same as the number of students who moved from the sports club to the dramatics club. The same is the case with sports club and literary club as well.The number of students who moved out from the sports and quiz clubs are equal.The number of students who moved to the literary club is one more than the number of persons who moved to the sports club.At least one student moved from the sports club to literary club.The number of students who left the quiz club for the dramatics club and the literary club is the same.A total of 21 students shifted from one club to another.4 students moved out of dramatics club and 5 students moved out of literary club.The number of students who joined sports club is exactly half the number of students who left it.The number of students who left other clubs for dramatics club is 4 more than the number of students who left other clubs for the quiz club.How many persons moved from the sports club to quiz club?a)0b)1c)2d)3Correct answer is option 'D'. Can you explain this answer?.
Solutions for Instructions:A B-school has 4 clubs - Sports, Dramatics, Literary, and Quiz. 60 students joined these clubs in the first year. A person can join only one of these 4 clubs. After the first year was over, some students did not like the club they joined and hence, moved from one club to another.Further the following information is known:No student moved from the quiz club to the sports club.The number of students who moved from dramatics club to the sports club is the same as the number of students who moved from the sports club to the dramatics club. The same is the case with sports club and literary club as well.The number of students who moved out from the sports and quiz clubs are equal.The number of students who moved to the literary club is one more than the number of persons who moved to the sports club.At least one student moved from the sports club to literary club.The number of students who left the quiz club for the dramatics club and the literary club is the same.A total of 21 students shifted from one club to another.4 students moved out of dramatics club and 5 students moved out of literary club.The number of students who joined sports club is exactly half the number of students who left it.The number of students who left other clubs for dramatics club is 4 more than the number of students who left other clubs for the quiz club.How many persons moved from the sports club to quiz club?a)0b)1c)2d)3Correct answer is option 'D'. 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 Instructions:A B-school has 4 clubs - Sports, Dramatics, Literary, and Quiz. 60 students joined these clubs in the first year. A person can join only one of these 4 clubs. After the first year was over, some students did not like the club they joined and hence, moved from one club to another.Further the following information is known:No student moved from the quiz club to the sports club.The number of students who moved from dramatics club to the sports club is the same as the number of students who moved from the sports club to the dramatics club. The same is the case with sports club and literary club as well.The number of students who moved out from the sports and quiz clubs are equal.The number of students who moved to the literary club is one more than the number of persons who moved to the sports club.At least one student moved from the sports club to literary club.The number of students who left the quiz club for the dramatics club and the literary club is the same.A total of 21 students shifted from one club to another.4 students moved out of dramatics club and 5 students moved out of literary club.The number of students who joined sports club is exactly half the number of students who left it.The number of students who left other clubs for dramatics club is 4 more than the number of students who left other clubs for the quiz club.How many persons moved from the sports club to quiz club?a)0b)1c)2d)3Correct answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Instructions:A B-school has 4 clubs - Sports, Dramatics, Literary, and Quiz. 60 students joined these clubs in the first year. A person can join only one of these 4 clubs. After the first year was over, some students did not like the club they joined and hence, moved from one club to another.Further the following information is known:No student moved from the quiz club to the sports club.The number of students who moved from dramatics club to the sports club is the same as the number of students who moved from the sports club to the dramatics club. The same is the case with sports club and literary club as well.The number of students who moved out from the sports and quiz clubs are equal.The number of students who moved to the literary club is one more than the number of persons who moved to the sports club.At least one student moved from the sports club to literary club.The number of students who left the quiz club for the dramatics club and the literary club is the same.A total of 21 students shifted from one club to another.4 students moved out of dramatics club and 5 students moved out of literary club.The number of students who joined sports club is exactly half the number of students who left it.The number of students who left other clubs for dramatics club is 4 more than the number of students who left other clubs for the quiz club.How many persons moved from the sports club to quiz club?a)0b)1c)2d)3Correct answer is option 'D'. Can you explain this answer?, a detailed solution for Instructions:A B-school has 4 clubs - Sports, Dramatics, Literary, and Quiz. 60 students joined these clubs in the first year. A person can join only one of these 4 clubs. After the first year was over, some students did not like the club they joined and hence, moved from one club to another.Further the following information is known:No student moved from the quiz club to the sports club.The number of students who moved from dramatics club to the sports club is the same as the number of students who moved from the sports club to the dramatics club. The same is the case with sports club and literary club as well.The number of students who moved out from the sports and quiz clubs are equal.The number of students who moved to the literary club is one more than the number of persons who moved to the sports club.At least one student moved from the sports club to literary club.The number of students who left the quiz club for the dramatics club and the literary club is the same.A total of 21 students shifted from one club to another.4 students moved out of dramatics club and 5 students moved out of literary club.The number of students who joined sports club is exactly half the number of students who left it.The number of students who left other clubs for dramatics club is 4 more than the number of students who left other clubs for the quiz club.How many persons moved from the sports club to quiz club?a)0b)1c)2d)3Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of Instructions:A B-school has 4 clubs - Sports, Dramatics, Literary, and Quiz. 60 students joined these clubs in the first year. A person can join only one of these 4 clubs. After the first year was over, some students did not like the club they joined and hence, moved from one club to another.Further the following information is known:No student moved from the quiz club to the sports club.The number of students who moved from dramatics club to the sports club is the same as the number of students who moved from the sports club to the dramatics club. The same is the case with sports club and literary club as well.The number of students who moved out from the sports and quiz clubs are equal.The number of students who moved to the literary club is one more than the number of persons who moved to the sports club.At least one student moved from the sports club to literary club.The number of students who left the quiz club for the dramatics club and the literary club is the same.A total of 21 students shifted from one club to another.4 students moved out of dramatics club and 5 students moved out of literary club.The number of students who joined sports club is exactly half the number of students who left it.The number of students who left other clubs for dramatics club is 4 more than the number of students who left other clubs for the quiz club.How many persons moved from the sports club to quiz club?a)0b)1c)2d)3Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Instructions:A B-school has 4 clubs - Sports, Dramatics, Literary, and Quiz. 60 students joined these clubs in the first year. A person can join only one of these 4 clubs. After the first year was over, some students did not like the club they joined and hence, moved from one club to another.Further the following information is known:No student moved from the quiz club to the sports club.The number of students who moved from dramatics club to the sports club is the same as the number of students who moved from the sports club to the dramatics club. The same is the case with sports club and literary club as well.The number of students who moved out from the sports and quiz clubs are equal.The number of students who moved to the literary club is one more than the number of persons who moved to the sports club.At least one student moved from the sports club to literary club.The number of students who left the quiz club for the dramatics club and the literary club is the same.A total of 21 students shifted from one club to another.4 students moved out of dramatics club and 5 students moved out of literary club.The number of students who joined sports club is exactly half the number of students who left it.The number of students who left other clubs for dramatics club is 4 more than the number of students who left other clubs for the quiz club.How many persons moved from the sports club to quiz club?a)0b)1c)2d)3Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice CAT tests.
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