Gmat_mission wrote: ↑Sat Mar 24, 2018 4:27 am
10 children have ordered a total of 17 hamburgers, and each child has ordered at least one hamburger. Has any child ordered more than 3 hamburgers?
(1) Exactly two children have ordered three hamburgers each.
(2) No child has ordered exactly two hamburgers.
Statement 1:
Two children A and B with 3 hamburgers each = 2*3 = 6 hamburgers
Remaining 8 children C through J with at least one hamburger each = 8*1 = 8 hamburgers
Remaining hamburgers to be distributed among C through J = 17-6-8 = 3
Case 1: C receives the 3 remaining hamburgers
In this case, C has a total of 4 hamburgers, so the answer to the question stem is YES.
Case 2: C, D and E each receive 1 more hamburger
In this case, C, D, and E each have 2 hamburgers.
Since no child has more than 3 hamburgers, the answer to the question stem is NO.
INSUFFICIENT.
Statement 2:
10 children with at least 1 hamburger each = 10*1 = 10
Remaining hamburgers to be distributed = 17-10 = 7
Since no child receives exactly 2 hamburgers, none of the 10 children may receive exactly 1 more hamburger.
Since 7 is ODD, it is not possible for every child who receives additional hamburgers to receive exactly 2.
Implication:
At least 1 child must receive 3 OR MORE hamburgers, yielding a total of 4 OR MORE hamburgers for that child.
Thus, the answer to the question stem is YES.
SUFFICIENT.
The correct answer is
B.
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