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# Steve and JoAnne are both members of a certain club, though

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Manager
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Steve and JoAnne are both members of a certain club, though [#permalink]

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24 Jul 2004, 22:38
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100% (01:48) correct 0% (00:00) wrong based on 1 sessions

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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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Senior Manager
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24 Jul 2004, 23:42
I think it is D.

The consent is based on the knowledge of the inclusion or the exclusion of the other member. However, it is NOT known upfront whether the inclusion is preferred or the exclusion.

Thus, D looks quite feasible. Because, each member may like the other member to be present or absent. Thus, all the ways are feasible.

anuramm 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.

_________________

Awaiting response,

Thnx & Rgds,
Chandra

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Manager
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25 Jul 2004, 05:50
A tough one. I thought it was D first, but then I switched to A. I might be wrong, but here's my shot at reasoning through this question.

Cecily asks Steve. He says I can't consent until I know JoAnne's decision.
Cecily then asks JoAnne. She says I can't consent until I know Steve's decion.

Cecily cannot appint without anyone's consent.

They will be going in circles like this forever.
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25 Jul 2004, 12:54
SmashingGrace: going by the GMAT kind of answers, we can straight away eliminate A. This is because of the word "can", if this word were to be "may" then I agree with your reasoning!
else my FA would be D (mallelac's reasoning)

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Director
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25 Jul 2004, 18:42
Will go with A on this one
Circular Arguement (same explanation as SmashingGrace)

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Director
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25 Jul 2004, 19:53

Circular argument. Steve waits Joanne's appointment, Joanne waits Steve's appointment. They both will be waiting forever.

not a GMAT kind, I guess.

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25 Jul 2004, 20:41
Even i marked A for the reasons explained by SmashingGrace. But the OA is E.

(E) Because of the resolutions of Steve and JoAnne, neither of them can be appointed before a decision is made about the other one. That rules out making a positive decision to appoint in either case because no such decision could be the FIRST decision. But nothing in the scenario rules out Cecily's first making a negative decision (the decision, say, not to appoint Steve). Then she could inform JoAnne of that fact; JoAnne might then consent to the appointment and thus be appointed. Or, of course, the first negative decision might have been made about JoAnne, resulting in the possible appointment of Steve.

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Director
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25 Jul 2004, 21:01
anuramm wrote:
But nothing in the scenario rules out Cecily's first making a negative decision (the decision, say, not to appoint Steve).

true.

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26 Jul 2004, 11:31
Well if the answer is E with that reasoning then I got it by accident.

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Senior Manager
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26 Jul 2004, 19:49
At first, I didn't really understand "though they are not speaking to each other" means they don't like each other or they just don't know. I ponder between D and E then I picked E.
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"Life is like a box of chocolates, you never know what you'r gonna get"

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26 Jul 2004, 19:49
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