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

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24 Oct 2005, 16:43
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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
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VP
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24 Oct 2005, 17:11
C.
if number of people in the room is 3
2 people can recognize everyone else (still keeping the condition that
"At most two people in the room recognize each other")

It took more than 2 mins for me.
Director
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25 Oct 2005, 04:22
Sushom you are posting some real good CRs. I am really curious to know the source! They are refreshingly different and fun to do!

I will pick C for this one!
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25 Oct 2005, 09:05
well even i had picked C...but OA is D

this is LSAT CR..
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28 Oct 2005, 20:35
I got D

Consider 5 persons v, w, x, y , z in the room.

U can eliminate

A - From above
B- From question stem - At most two people in the room recognize each other
C - From question stem - At most two people in the room recognize each other
E- This contradicts # of people who recongnize each other from the stem.

IN D - from stem : At most two people in the room recognize each other.
this is possible if two people know each other. Hence the conclusion !

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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28 Oct 2005, 21:08
hkm_gmat wrote:
I got D

Consider 5 persons v, w, x, y , z in the room.

U can eliminate

A - From above
B- From question stem - At most two people in the room recognize each other
C - From question stem - At most two people in the room recognize each other
E- This contradicts # of people who recongnize each other from the stem.

IN D - from stem : At most two people in the room recognize each other.
this is possible if two people know each other. Hence the conclusion !

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

How is D inconsistent with the argument, if there are EXACTLY 3 people in the room?

A B C
A<->B
A<->C

satisfies all conditions in the argument.
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28 Oct 2005, 21:16
duttsit wrote:
hkm_gmat wrote:
I got D

Consider 5 persons v, w, x, y , z in the room.

U can eliminate

A - From above
B- From question stem - At most two people in the room recognize each other
C - From question stem - At most two people in the room recognize each other
E- This contradicts # of people who recongnize each other from the stem.

IN D - from stem : At most two people in the room recognize each other.
this is possible if two people know each other. Hence the conclusion !

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

How is D inconsistent with the argument, if there are EXACTLY 3 people in the room?

A B C
A<->B
A<->C

satisfies all conditions in the argument.

Even if there are exactly 3 guys in the room as you have said D holds.

If A knows B, then B knows A and as per the passage A cannot know C.
If A knows C, then C knows A and as per the passage A cannot know B.

THe passage says, at least one person can recognize everyone else in the room, but not necessarily be recognized by everyone else.

But D says anyone who recognizes the other two, will also be recognized by the other two and it is inconsistent.
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29 Oct 2005, 00:11
My vote is for D.
29 Oct 2005, 00:11
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