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# There are at least three people in the room. At most two

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Manager
Joined: 09 Jan 2007
Posts: 240

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There are at least three people in the room. At most two [#permalink]

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27 Feb 2007, 10:27
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There are at least three people in the room. At most two people in the room recognize each other. At least one person in the room recognizes everybody else in the room.
Which one of the following is NOT consistent with the above?
(A) Four people are in the room.
(B) No two people in the room recognize each other.
(C) At most one person in the room recognizes everybody else in the room.
(D) Anyone in the room who recognizes any other person in the room is also recognized by that person.
(E) Two people in the room recognize every one else in the room.

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Senior Manager
Joined: 17 Aug 2005
Posts: 387

Kudos [?]: 148 [0], given: 0

Location: Boston, MA

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27 Feb 2007, 10:52
D.
If there are three people in the room and one person recognizes the other two, no one recognizes anybody else (at MOST two ppl in the room recognize each other). Then its possible that D is not consistent.

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VP
Joined: 22 Oct 2006
Posts: 1436

Kudos [?]: 196 [0], given: 12

Schools: Chicago Booth '11

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27 Feb 2007, 11:25
D as well for logic above

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Manager
Joined: 09 Jan 2007
Posts: 240

Kudos [?]: 40 [0], given: 0

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28 Feb 2007, 22:18
OA is (D)

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28 Feb 2007, 22:18
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# There are at least three people in the room. At most two

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