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Steve and JoAnne are both members of a certain club, though [#permalink]
 30 Jan 2008, 20:24
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Steve and JoAnne are both members of a certain club, though they are not speaking to each other. Cecily, the club president, is appointing members to the fundraising committee, but she has resolved that she will not appoint anyone without his or her explicit consent. Steve tells Cecily, 'I will not consent to appointment on that committee unless I know whether JoAnne is to be a member of it.' And JoAnne says, 'I will not consent to be a member of that committee unless I know whether Steve will be appointed to it.' If all three of these people stick by these resolutions, then: A) Neither of them can be appointed to the committee. B) The situation described in the scenario cannot arise, because it is inherently incoherent. C) They must either both be appointed or both be left out. D) The committee may finally have one of them, both of them, or neither of them as members. E) Either one of them can be appointed, but not both.
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vscid wrote: Steve and JoAnne are both members of a certain club, though they are not speaking to each other. Cecily, the club president, is appointing members to the fundraising committee, but she has resolved that she will not appoint anyone without his or her explicit consent. Steve tells Cecily, 'I will not consent to appointment on that committee unless I know whether JoAnne is to be a member of it.' And JoAnne says, 'I will not consent to be a member of that committee unless I know whether Steve will be appointed to it.'
If all three of these people stick by these resolutions, then:
A) Neither of them can be appointed to the committee.
B) The situation described in the scenario cannot arise, because it is inherently incoherent.
C) They must either both be appointed or both be left out.
D) The committee may finally have one of them, both of them, or neither of them as members.
E) Either one of them can be appointed, but not both. Im probably wrong here, but I take A. Since neither will consent unless they know the other is appointed and Cecill won't appoint without consent. Neither can be appointed. Essentially they cannot be appointed w/o consenting.
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A
After having listened to both of them, Cecily can't even approach them next time without knowing answers to their questions
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A for the same reason as discussed above..
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Guys, some help needed.
Why A?
neither of them will consent ..unless they know about the other.. but even if they know about the other, its not clear whether they would consent or not?
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I'l try pick E. For example, committee has 8 positions and 7 of them is occupied by neither Steve nor JoAnne. Steve consents to Cecily to be eighth member of the committee because Cecily can unambiguously say that JoAnne is not a member of the committee. good q. +1
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I picked C, becasue from what i the argument states neither one will want to be a member of the club unless the other is appointed. Therefore they can either get both or get niether of them.
This reminds me of the kids play "if John is not going to the party, i am not going either" In this case either both go either none.
Anything wrong with my reasoning?
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I picked D
Steve tells Cecily. JoAnne tells Cecily. Cecily appoints both.
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I picked D. But looks like the OA is E. http://gmatclub.com/forum/11-t3760
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walker wrote: I'l try pick E.
For example, committee has 8 positions and 7 of them is occupied by neither Steve nor JoAnne.
Steve consents to Cecily to be eighth member of the committee because Cecily can unambiguously say that JoAnne is not a member of the committee.
good q. +1 2 positions and no other members apart from Steve and Joanne?
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well E was straight forward..but i kept thinking there is a trap...it cant be that simple..
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srp wrote: 2 positions and no other members apart from Steve and Joanne? Cecily seems also to be a member. therefore there are at least 3 members.
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OA is E. This one was tricky for me.
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