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In a class of 120 students, 80 enrolled for a Mathematics seminar, 60 enrolled for Business Basics seminar, while 12 did not enroll for either of the 2 seminars. How many students enrolled for both the seminars?
- a)28
- b)32
- c)40
- d)48
- e)56
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
In a class of 120 students, 80 enrolled for a Mathematics seminar, 60 ...
Given: A class of 120 students who are classified on their enrollment for 2 seminars:
- Mathematics – Enrolled/ Did not Enroll
- Business Basics – Enrolled/ Did not Enroll
Representing the given information visually:
TO find: Number of students who enrolled for both seminars
Approach:
- We’ve already done the first step of the approach by representing the given information visually
- Now, we will complete the table to get to the answer
Working Out
- (Number of students who didn’t enroll for mathematics) = 120 – 80 = 40
- So, (Number of students who Enrolled for BB – Didn’t enroll for Mathematics) = 40 – 12 = 28
- (Number of students who enrolled for both seminars) = 60 – 28 = 32
Answer: Option B
This question is part of UPSC exam. View all GMAT courses
Most Upvoted Answer
In a class of 120 students, 80 enrolled for a Mathematics seminar, 60 ...
Given:
Total number of students = 120
Number of students enrolled in Mathematics seminar = 80
Number of students enrolled in Business Basics seminar = 60
Number of students who did not enroll in either seminar = 12
To find:
Number of students who enrolled in both seminars
Solution:
To find the number of students who enrolled in both seminars, we need to use the formula:
Total number of students = Number of students in Mathematics seminar + Number of students in Business Basics seminar - Number of students in both seminars + Number of students who did not enroll in either seminar
Substituting the given values, we get:
120 = 80 + 60 - x + 12
x = 32
Therefore, the number of students who enrolled in both seminars is 32.
Answer: Option B) 32
Total number of students = 120
Number of students enrolled in Mathematics seminar = 80
Number of students enrolled in Business Basics seminar = 60
Number of students who did not enroll in either seminar = 12
To find:
Number of students who enrolled in both seminars
Solution:
To find the number of students who enrolled in both seminars, we need to use the formula:
Total number of students = Number of students in Mathematics seminar + Number of students in Business Basics seminar - Number of students in both seminars + Number of students who did not enroll in either seminar
Substituting the given values, we get:
120 = 80 + 60 - x + 12
x = 32
Therefore, the number of students who enrolled in both seminars is 32.
Answer: Option B) 32
Community Answer
In a class of 120 students, 80 enrolled for a Mathematics seminar, 60 ...
Given information:
- Total number of students = 120
- Number of students enrolled for Mathematics seminar = 80
- Number of students enrolled for Business Basics seminar = 60
- Number of students who did not enroll for either seminar = 12
To find: How many students enrolled for both seminars?
Solution:
1. We know that the total number of students is 120.
2. Out of these, 12 did not enroll for either of the two seminars. Therefore, the number of students who enrolled for at least one seminar = 120 - 12 = 108.
3. We can use the formula:
Total = Group 1 + Group 2 - Both + Neither
where,
Total = Total number of students
Group 1 = Number of students enrolled for Mathematics seminar
Group 2 = Number of students enrolled for Business Basics seminar
Both = Number of students enrolled for both seminars
Neither = Number of students who did not enroll for either seminar
4. Substituting the given values, we get:
120 = 80 + 60 - Both + 12
5. Simplifying the equation, we get:
Both = 32
Therefore, 32 students enrolled for both Mathematics seminar and Business Basics seminar.
Answer: Option B) 32.
- Total number of students = 120
- Number of students enrolled for Mathematics seminar = 80
- Number of students enrolled for Business Basics seminar = 60
- Number of students who did not enroll for either seminar = 12
To find: How many students enrolled for both seminars?
Solution:
1. We know that the total number of students is 120.
2. Out of these, 12 did not enroll for either of the two seminars. Therefore, the number of students who enrolled for at least one seminar = 120 - 12 = 108.
3. We can use the formula:
Total = Group 1 + Group 2 - Both + Neither
where,
Total = Total number of students
Group 1 = Number of students enrolled for Mathematics seminar
Group 2 = Number of students enrolled for Business Basics seminar
Both = Number of students enrolled for both seminars
Neither = Number of students who did not enroll for either seminar
4. Substituting the given values, we get:
120 = 80 + 60 - Both + 12
5. Simplifying the equation, we get:
Both = 32
Therefore, 32 students enrolled for both Mathematics seminar and Business Basics seminar.
Answer: Option B) 32.
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In a class of 120 students, 80 enrolled for a Mathematics seminar, 60 enrolled for Business Basics seminar, while 12 did not enroll for either of the 2 seminars. How many students enrolled for both the seminars?a)28b)32c)40d)48e)56Correct answer is option 'B'. Can you explain this answer?
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