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05 Jun 2020, 08:08
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
5%
(low)
Question Stats:
96% (01:06) correct
4%
(02:01)
wrong
based on 138
sessions
History
Date
Time
Result
Not Attempted Yet
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
A. 28
B. 32
C. 40
D. 48
E. 56
Updated on: 20 Sep 2020, 08:08
Originally posted by BrentGMATPrepNow on 05 Jun 2020, 09:02.
Last edited by BrentGMATPrepNow on 20 Sep 2020, 08:08, edited 1 time in total.
Last edited by BrentGMATPrepNow on 20 Sep 2020, 08:08, edited 1 time in total.
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Bunuel
One approach is to use the Double Matrix Method. This technique can be used for questions featuring a population in which each member has two characteristics associated with it (aka overlapping sets questions).
Here, we have a population of students, and the two characteristics are:
- took Math seminar or did not take Math seminar
- took Business Basics seminar or did not take Business Basics seminar
Add all of the information to our diagram to get the following:
Answer: B
Aside: We can also use Venn diagrams or a formula to solve overlapping sets questions. However, as difficulty levels increase, it becomes harder to apply those other approaches, whereas the Double Matrix Method works every time.
This question type is VERY COMMON on the GMAT, so be sure to master the technique.
To learn more about the Double Matrix Method, watch this video:
EXTRA PRACTICE QUESTION
General Discussion
05 Jun 2020, 08:18
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IMO B
Let x be students enrolled for both
Maths =80
Both = x
Business = 60
Only Business =80-x
Neither of subjects = 12
so 80 + (60-x) + 12 = 120
152-x = 120
x =32
Let x be students enrolled for both
Maths =80
Both = x
Business = 60
Only Business =80-x
Neither of subjects = 12
so 80 + (60-x) + 12 = 120
152-x = 120
x =32
