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Three children, Alice, Brian, and Chris have a total of [#permalink]
 24 Jul 2011, 15:30
Question Stats:
14% (00:00) correct
85% (00:28) wrong based on 0 sessions
Three children, Alice, Brian, and Chris have a total of $1.20 between them. Does Chris have the most money?
(1) Alice has 35 cents.
(2) Chris has 40 cents.
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Re: Three children, Alice, Brian, and Chris have a total of [#permalink]
29 Mar 2012, 05:16
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Re: DS - 700 level - money [#permalink]
24 Jul 2011, 20:01
bschool83 wrote: Three children, Alice, Brian, and Chris have a total of $1.20 between them. Does Chris have the most money?
(1) Alice has 35 cents.
(2) Chris has 40 cents. A + B + C = 120, is C > A and C>B? 1) A = 35, therefore B + C = 120 - 35 = 85. It could be that C = 84 and A = 1, or that C = 1 and B = 84. C is greater than both A and B in one scenario, but not in the other. Insufficient. 2) C = 40, therefore A + B = 120 - 40 = 80. This means that the average of A and B is 40, and either A = B = 40, or A > 40 > B, or B > 40 > A. Either way, C is NOT greater than both A and B. Sufficient.
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Re: Three children, Alice, Brian, and Chris have a total of [#permalink]
27 Mar 2012, 22:11
I have to disagree. In the case where each have 40c ie you have a set (40, 40, 40) they each individually have the most (ie the highest value = 40) and it so happens they each individually have the least, again 40.
Since this provides two cases, Brian having the most when they all share the most (similar to tied for 1st place - they are equally best) and Brian not having the most when any other values are chosen, one requires both (1) and (2) to determine if Chris does/doesn't have the most.
Clearly this is a definition debate around "most" and ties for most, and the question would likely (hopefully) be thrown out by the gmac folks!
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Re: Three children, Alice, Brian, and Chris have a total of [#permalink]
28 Mar 2012, 00:59
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Re: Three children, Alice, Brian, and Chris have a total of [#permalink]
29 Mar 2012, 03:58
Answer should be C, what is the OA?
The explanation is in either of the case A or B, Chris may or may not have the most money.
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Re: Three children, Alice, Brian, and Chris have a total of
[#permalink]
29 Mar 2012, 03:58
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