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11 Mar 2008, 23:22
Kudos
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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
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
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12 Mar 2008, 08:20
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Statement 1:
Tells us exactly two children have ordered three hamburgers each. But does not tells how many of children might have ordered 2 hamburgers. So asnwer cannot be given by this statement alone.
Statement 2:
Tells us no child has ordered exactly two hamburgers. But does not tells us how many ordered 3 hamburgers, So asnwer cannot be given by this statement alone.
Combining both statements we have
No children ordered 2 hamburgers, 2 children ordered 3 hamburgers, 10 children ordered single hamberger.
So total hamburgers = 10 + 6 - 2 = 14 (Remember children who ordered 3 hambergers are already included in children single hamburger that is why 2 is substracted).
Total hamburgers ordered = 17
Remaining hamburgers = 17 - 14 = 3
All of these three needs to be ordered by 1 person alone. Because if 1 person ordered 2 of them and another 1 person order the remaining 1, in that case second person will have 2 hamburgers, which cannot be true as statement 2 tells us.
So we know only 1 person ordered 4 hamburgers.
Answer C.
Tells us exactly two children have ordered three hamburgers each. But does not tells how many of children might have ordered 2 hamburgers. So asnwer cannot be given by this statement alone.
Statement 2:
Tells us no child has ordered exactly two hamburgers. But does not tells us how many ordered 3 hamburgers, So asnwer cannot be given by this statement alone.
Combining both statements we have
No children ordered 2 hamburgers, 2 children ordered 3 hamburgers, 10 children ordered single hamberger.
So total hamburgers = 10 + 6 - 2 = 14 (Remember children who ordered 3 hambergers are already included in children single hamburger that is why 2 is substracted).
Total hamburgers ordered = 17
Remaining hamburgers = 17 - 14 = 3
All of these three needs to be ordered by 1 person alone. Because if 1 person ordered 2 of them and another 1 person order the remaining 1, in that case second person will have 2 hamburgers, which cannot be true as statement 2 tells us.
So we know only 1 person ordered 4 hamburgers.
Answer C.
12 Mar 2008, 10:17
Kudos
Bookmarks
It should be B
Statement 1 : let us say first two children ordered three hamburgers each then we left with remaining 11 to distribute among 8 children. it can be three children ordering 2 each and rest 1 each or one ordering four burgers and rest 1 each . so answer can be yes or no.
INSUFF.
Statement2 : no one ordered exactly two . so so only possible case is three children ordering three burgers each and one child ordering 4 and remaining 1 each. so answer is definite yes.
SUFF.
Statement 1 : let us say first two children ordered three hamburgers each then we left with remaining 11 to distribute among 8 children. it can be three children ordering 2 each and rest 1 each or one ordering four burgers and rest 1 each . so answer can be yes or no.
INSUFF.
Statement2 : no one ordered exactly two . so so only possible case is three children ordering three burgers each and one child ordering 4 and remaining 1 each. so answer is definite yes.
SUFF.
