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25 Oct 2016, 16:13
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
(hard)
Question Stats:
62% (01:50) correct
39%
(01:35)
wrong
based on 200
sessions
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If a jar of candies is divided among 3 children, how many candies did the child that received the fewest pieces receive?
(1) The two children that received the greatest number of pieces received a total of 13 pieces.
(2) The two children that received the fewest number of pieces received a total of 11 pieces.
(1) The two children that received the greatest number of pieces received a total of 13 pieces.
(2) The two children that received the fewest number of pieces received a total of 11 pieces.
amandeep_k
GMAT 2: 710 Q50 V35
Posts: 31
26 Nov 2016, 04:25
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duahsolo
Let x be the number of candies with child who received least candies, y who received 2nd highest and z be the highest so from question x<y<Z
(1) y+z =13 no information of x so z can be 11, y can be 2 and x can be 1 or z can be 10 y can be 3 and x can be 1 or 2, SO not Sufficient
(2) x+y=11 again x can be 1 and y 10 or x can be 2 and y 9 so not sufficient
Subtracting 2 from 1 (z-x=2) so x,y,z are consecutive integers so only one possible solution x=5,y=6,z=7
25 Sep 2017, 10:08
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Bunuel
Let the three children be \(A\), \(B\) & \(C\) where candy distribution is \(A>B>C\). we need to find \(C\) the lowest
Statement 1: implies that \(A+B = 13\). or \(A=13-B\).
Hence \((A,B)\) can be: (12,1), (11,2), (10,3), (9,4), (8,5), (7,6). No information given about the lowest distribution Hence Insufficient,
Statement 2: implies that \(B+C=11\). or \(C=11-B\)
Hence \((B,C)\) can be: (10,1), (9,2), (8,3), (7,4), (6,5). There are multiple values of C possible. Hence Insufficient
Combining 1 & 2, we know that \(A>B>C\) and \(A+B=13\) and \(B+C=11\), from the given pair of possible values for \((A,B)\) and \((B,C)\), only one value satisfies the given conditions simultaneously
\(A=7\), \(B=6\) and \(C=5\). Hence Sufficient
Option C
