Bunuel wrote:
There are 68 children in the cafeteria of a school and all of the children have something for lunch. Thirty-four of the children brought lunches from home, 23 of the children bought a drink from the cafeteria beverage machine, and 32 of the children bought fruit in the cafeteria. If 18 children did at least 2 of these things, how many children did exactly two of these things?
A. 3
B. 6
C. 9
D. 13
E. 15
All 68 children had atleast one thing - homelunch, drink, fruit
There are 34 + 23 + 32 = 89 instances of these three things in all.
18 children had at least two so 18 instances have been double counted at least. Let's remove them. We are left with 89 - 18 = 71
Now we still have 3 instances extra so these 3 must have been counted thrice.
Hence 18 - 3 = 15 children consumed exactly two.
Answer (E)
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Karishma
Veritas Prep GMAT Instructor
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