There are at least three people in the room. At most two : GMAT Critical Reasoning (CR)
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# There are at least three people in the room. At most two

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

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06 May 2005, 14:42
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19. 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.

I hate this kind of problems !! Any useful tricks ????
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07 May 2005, 04:51
C.... There is no limit to the number of people in the room.

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.
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07 May 2005, 07:05
Will choose D

C can be consistent with the information given in the sentence, but D cannot be - as as per the stem, Atmost two people can recognize each other
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07 May 2005, 08:49
D)...

there can be one or two, who recognize everybody else in the room. there cannot be more people, who recognize everybody else, because it says at most two people recognize each other. otherwise there would be more who recognize each other. so if there are 3 people in the room. 2 know each other and 1 knows everybody else. C) would be consistent. the 1 person recognizes the other two. but the two other only know each other and although the 1 regognizes them doesnt mean that they regognize him. so D) ist not consistent. if there are 2 that recognize everybody else, so these two would also recognize each other and they would also recognize the 3rd person. this again does not mean that the 3rd person recognizes them. so in this case D) is out as well. so there is no case where D) is true, is it ?
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Re: CR: People in room [#permalink]

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07 May 2005, 21:24
WinWinMBA wrote:
Which one of the following is NOT consistent with the above?

i do not know, why i frequently overlook.
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08 May 2005, 08:15
I'll tell you why (D) is not the answer. Assuming that there are 3 (A, B and C) people in the room. A & B recognize each other. It is also very much possible that A/B also recognizes C and C also recognizes A/B because the statement clearly says that ATLEAST two people in the room recognize each other and ATLEAST one person recognizes everybody else. So, I can extrapolate from the given info to state that every person in the room recognizes every other person in the room.
Correct me if I'm wrong.

Only option which is NOT consistent is (B). OA please????
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08 May 2005, 08:19
Sorry folks .... even I have this problem of overlooking. I mistook atmost for atleast ... very evident from my previous reply. (D) looks fine now and hence I wud vote for (D) now.
Sorry again
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Re: CR: People in room [#permalink]

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08 May 2005, 20:37
[quote="WinWinMBA"]19. 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.
"at least three people in the room", could be more. Consistent.

(B) No two people in the room recognize each other.
"At most two people in the room recognize each other." Could be less. Consistent.

(C) At most one person in the room recognizes everybody else in the room.
"At least one person in the room recognizes everybody else in the room". So only one person recognizes everybody else in the room. Consistent.

(D) Anyone in the room who recognizes any other person in the room is also recognized by that person.
"At least one person in the room recognizes everybody else in the room." Say A knows B and C and other people in the room. This choice says that A would also be recognized by B and C. So A and B recognize each other, and A and C recognize each other. However, this is INCONSISTANT with "At most two people in the room recognize each other."

(E) Two people in the room recognize every one else in the room.
"At least one person in the room recognizes everybody else in the room." Could be more. Consistent.

So D.
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10 May 2005, 16:13
The OA is D.
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10 May 2005, 17:15
1) There are at least three people in the room.
2) At most two people in the room recognize each other
3) 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.
- possible. we're told there are at least 3 people in the room.

(B) No two people in the room recognize each other.
- Possible. We're told at most two people recognize each other.

(C) At most one person in the room recognizes everybody else in the room.
- At most one person, means only person in the room recognize everybody else. This is possible since we're told at least one person recognize everybody else.

(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
- Possible. We're told at least 1 person know everybody else.

D is the best choice. Anyone in the romo who recognize any other person is not supported for by any of the three premises given to us.
10 May 2005, 17:15
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# There are at least three people in the room. At most two

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