GMAT Exam > GMAT Questions > A certain school has three performing arts ex...
Start Learning for Free
A certain school has three performing arts extracurricular activities: Band, Chorus, or Drama. Students must participate in at least one, and may participate in two or even in all three. There are 120 students in the school. There are 70 students in Band, 73 in the Chorus, and 45 in the Drama. Furthermore, 37 students are in both the Band and Chorus, 20 are in both the Band and the Drama, and 8 students are in all three groups. Twenty-five students are just in the chorus, not in anything else. How many students participate in only the drama?
- a)11
- b)12
- c)14
- d)17
- e)21
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A certain school has three performing arts extracurricular activities:...
Here, we have three categories, so we need three circles. Every student must take at least one of these three performing arts extracurricular activities, so there will be no one outside the three circles.
The sum of all seven = 120 (we never use this number in this question)
The totals for the band (70), the chorus (73), and the drama (45) each involve the sum of four discrete regions. We will have to find other information before we can employ them.
“8 students are in all three groups”
N = 8.
“37 students are in both the Band and Chorus”
37 = K + N = K + 8 —> K = 29
“20 are in both the Band and the Drama”
20 = M + N = M + 8 —> M = 12
“twenty-five students are just in the chorus, not in anything else”
L = 25
We now have identified three of the regions in the Chorus circle, so we can solve for P.
chorus = 73 = K + L + N + P
73 = 29 + 25 + 8 + P
P = 11
Now, we have identified three of the regions in the Drama circle, so we can solve for Q.
drama = 45 = M + N + P + Q
45 = 12 + 8 + 11 + Q
Q = 14
This is precisely what the question was asking: how many students are only in drama? There are 14 students who take only drama.
Answer = C
Most Upvoted Answer
A certain school has three performing arts extracurricular activities:...
Analysis:
To find out how many students participate in only the Drama extracurricular activity, we need to subtract the students who participate in multiple activities from the total number of Drama participants.
Given Information:
- Total number of students = 120
- Number of students in Band = 70
- Number of students in Chorus = 73
- Number of students in Drama = 45
- Number of students in Band and Chorus = 37
- Number of students in Band and Drama = 20
- Number of students in all three groups = 8
- Number of students in only Chorus = 25
Calculation:
First, we need to calculate the number of students who participate in multiple activities:
- Number of students in both Band and Chorus = 37
- Number of students in both Band and Drama = 20
- Number of students in all three groups = 8
Total number of students in multiple activities = 37 + 20 + 8 = 65
Now, we find the total number of students who participate in at least one activity:
Total number of students in at least one activity = Number of students in Band + Number of students in Chorus + Number of students in Drama - Total number of students in multiple activities
Total number of students in at least one activity = 70 + 73 + 45 - 65 = 123
Now, we find the number of students who participate in only the Drama extracurricular activity:
Number of students in only Drama = Number of students in Drama - Number of students in multiple activities
Number of students in only Drama = 45 - 65 = 14
Therefore, the number of students who participate in only the Drama extracurricular activity is 14, option c.
To find out how many students participate in only the Drama extracurricular activity, we need to subtract the students who participate in multiple activities from the total number of Drama participants.
Given Information:
- Total number of students = 120
- Number of students in Band = 70
- Number of students in Chorus = 73
- Number of students in Drama = 45
- Number of students in Band and Chorus = 37
- Number of students in Band and Drama = 20
- Number of students in all three groups = 8
- Number of students in only Chorus = 25
Calculation:
First, we need to calculate the number of students who participate in multiple activities:
- Number of students in both Band and Chorus = 37
- Number of students in both Band and Drama = 20
- Number of students in all three groups = 8
Total number of students in multiple activities = 37 + 20 + 8 = 65
Now, we find the total number of students who participate in at least one activity:
Total number of students in at least one activity = Number of students in Band + Number of students in Chorus + Number of students in Drama - Total number of students in multiple activities
Total number of students in at least one activity = 70 + 73 + 45 - 65 = 123
Now, we find the number of students who participate in only the Drama extracurricular activity:
Number of students in only Drama = Number of students in Drama - Number of students in multiple activities
Number of students in only Drama = 45 - 65 = 14
Therefore, the number of students who participate in only the Drama extracurricular activity is 14, option c.
|
Explore Courses for GMAT exam
|
|
Top Courses for GMATView all
Question Description
A certain school has three performing arts extracurricular activities: Band, Chorus, or Drama. Students must participate in at least one, and may participate in two or even in all three. There are 120 students in the school. There are 70 students in Band, 73 in the Chorus, and 45 in the Drama. Furthermore, 37 students are in both the Band and Chorus, 20 are in both the Band and the Drama, and 8 students are in all three groups. Twenty-five students are just in the chorus, not in anything else. How many students participate in only the drama?a)11b)12c)14d)17e)21Correct answer is option 'C'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about A certain school has three performing arts extracurricular activities: Band, Chorus, or Drama. Students must participate in at least one, and may participate in two or even in all three. There are 120 students in the school. There are 70 students in Band, 73 in the Chorus, and 45 in the Drama. Furthermore, 37 students are in both the Band and Chorus, 20 are in both the Band and the Drama, and 8 students are in all three groups. Twenty-five students are just in the chorus, not in anything else. How many students participate in only the drama?a)11b)12c)14d)17e)21Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A certain school has three performing arts extracurricular activities: Band, Chorus, or Drama. Students must participate in at least one, and may participate in two or even in all three. There are 120 students in the school. There are 70 students in Band, 73 in the Chorus, and 45 in the Drama. Furthermore, 37 students are in both the Band and Chorus, 20 are in both the Band and the Drama, and 8 students are in all three groups. Twenty-five students are just in the chorus, not in anything else. How many students participate in only the drama?a)11b)12c)14d)17e)21Correct answer is option 'C'. Can you explain this answer?.
A certain school has three performing arts extracurricular activities: Band, Chorus, or Drama. Students must participate in at least one, and may participate in two or even in all three. There are 120 students in the school. There are 70 students in Band, 73 in the Chorus, and 45 in the Drama. Furthermore, 37 students are in both the Band and Chorus, 20 are in both the Band and the Drama, and 8 students are in all three groups. Twenty-five students are just in the chorus, not in anything else. How many students participate in only the drama?a)11b)12c)14d)17e)21Correct answer is option 'C'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about A certain school has three performing arts extracurricular activities: Band, Chorus, or Drama. Students must participate in at least one, and may participate in two or even in all three. There are 120 students in the school. There are 70 students in Band, 73 in the Chorus, and 45 in the Drama. Furthermore, 37 students are in both the Band and Chorus, 20 are in both the Band and the Drama, and 8 students are in all three groups. Twenty-five students are just in the chorus, not in anything else. How many students participate in only the drama?a)11b)12c)14d)17e)21Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A certain school has three performing arts extracurricular activities: Band, Chorus, or Drama. Students must participate in at least one, and may participate in two or even in all three. There are 120 students in the school. There are 70 students in Band, 73 in the Chorus, and 45 in the Drama. Furthermore, 37 students are in both the Band and Chorus, 20 are in both the Band and the Drama, and 8 students are in all three groups. Twenty-five students are just in the chorus, not in anything else. How many students participate in only the drama?a)11b)12c)14d)17e)21Correct answer is option 'C'. Can you explain this answer?.
Solutions for A certain school has three performing arts extracurricular activities: Band, Chorus, or Drama. Students must participate in at least one, and may participate in two or even in all three. There are 120 students in the school. There are 70 students in Band, 73 in the Chorus, and 45 in the Drama. Furthermore, 37 students are in both the Band and Chorus, 20 are in both the Band and the Drama, and 8 students are in all three groups. Twenty-five students are just in the chorus, not in anything else. How many students participate in only the drama?a)11b)12c)14d)17e)21Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for GMAT.
Download more important topics, notes, lectures and mock test series for GMAT Exam by signing up for free.
Here you can find the meaning of A certain school has three performing arts extracurricular activities: Band, Chorus, or Drama. Students must participate in at least one, and may participate in two or even in all three. There are 120 students in the school. There are 70 students in Band, 73 in the Chorus, and 45 in the Drama. Furthermore, 37 students are in both the Band and Chorus, 20 are in both the Band and the Drama, and 8 students are in all three groups. Twenty-five students are just in the chorus, not in anything else. How many students participate in only the drama?a)11b)12c)14d)17e)21Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A certain school has three performing arts extracurricular activities: Band, Chorus, or Drama. Students must participate in at least one, and may participate in two or even in all three. There are 120 students in the school. There are 70 students in Band, 73 in the Chorus, and 45 in the Drama. Furthermore, 37 students are in both the Band and Chorus, 20 are in both the Band and the Drama, and 8 students are in all three groups. Twenty-five students are just in the chorus, not in anything else. How many students participate in only the drama?a)11b)12c)14d)17e)21Correct answer is option 'C'. Can you explain this answer?, a detailed solution for A certain school has three performing arts extracurricular activities: Band, Chorus, or Drama. Students must participate in at least one, and may participate in two or even in all three. There are 120 students in the school. There are 70 students in Band, 73 in the Chorus, and 45 in the Drama. Furthermore, 37 students are in both the Band and Chorus, 20 are in both the Band and the Drama, and 8 students are in all three groups. Twenty-five students are just in the chorus, not in anything else. How many students participate in only the drama?a)11b)12c)14d)17e)21Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of A certain school has three performing arts extracurricular activities: Band, Chorus, or Drama. Students must participate in at least one, and may participate in two or even in all three. There are 120 students in the school. There are 70 students in Band, 73 in the Chorus, and 45 in the Drama. Furthermore, 37 students are in both the Band and Chorus, 20 are in both the Band and the Drama, and 8 students are in all three groups. Twenty-five students are just in the chorus, not in anything else. How many students participate in only the drama?a)11b)12c)14d)17e)21Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A certain school has three performing arts extracurricular activities: Band, Chorus, or Drama. Students must participate in at least one, and may participate in two or even in all three. There are 120 students in the school. There are 70 students in Band, 73 in the Chorus, and 45 in the Drama. Furthermore, 37 students are in both the Band and Chorus, 20 are in both the Band and the Drama, and 8 students are in all three groups. Twenty-five students are just in the chorus, not in anything else. How many students participate in only the drama?a)11b)12c)14d)17e)21Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice GMAT tests.
|
|
Explore Courses for GMAT exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up
within 7 days!
within 7 days!
Takes less than 10 seconds to signup