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Difficulty:
35%
(medium)
Question Stats:
75% (01:51) correct
25%
(02:12)
wrong
based on 252
sessions
History
Date
Time
Result
Not Attempted Yet
In a certain group of 55 truly disturbed people, 22 people wear Crocs, 18 pull the wings off of flies, and 32 people root for the Yankees. If each of the 55 people does at least one activity and three people do all three, how many of them do exactly two activities?
(A) 3
(B) 8
(C) 11
(D) 14
(E) 17
_________________
(A) 3
(B) 8
(C) 11
(D) 14
(E) 17
_________________
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PyjamaScientist
Admitted - Which School Forum Moderator
Joined: 25 Oct 2020
Last visit: 14 Jul 2026
Posts: 1,123
Schools: Ross '25 (M$)
GMAT 1: 740 Q49 V42 (Online)
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Though Harry advised to use double matrix during the discussion of this question on 24 hr marathon, I still feel comfortable with using Venn diagrams. I do not remember any formulas, you don't have to actually, if you understand what all you have and what is it that you need to find. If you understand that part, then it becomes just subtracting some areas from other and compensating for extra subtractions in your areas.
Also, I've still have no idea why Yankee fans are considered "disturbed" here. Lol.
Posted from my mobile device
_________________
Also, I've still have no idea why Yankee fans are considered "disturbed" here. Lol.
Posted from my mobile device
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Posts: 3
PyjamaScientist
can you do it using the formula please!
Formula for overlapping set with exactly 2 question:
A+B+C-(exactly 2)-2*(all 3) + neither = tot
22+18+32-x-2*3 + 0 =-6 55
-x=-11
x=11
A+B+C-(exactly 2)-2*(all 3) + neither = tot
22+18+32-x-2*3 + 0 =-6 55
-x=-11
x=11
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