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

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

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New post 03 May 2017, 05:57
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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 CANNOT be true?

(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.

Source: 1000 series
[Reveal] Spoiler: Note:
This is a CR question, but I think it's better to consider a quant question. This quesion could be good for logic :-D
[Reveal] Spoiler: OA

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

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New post 03 May 2017, 19:49
nguyendinhtuong wrote:
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 CANNOT be true?

(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.

Source: 1000 series
[Reveal] Spoiler: Note:
This is a CR question, but I think it's better to consider a quant question. This quesion could be good for logic :-D



Hi,

Not a type of Q that you would see on GMAT. But good for reasoning..

Para:- points to consider..
1) ATLEAST 3 in room.......so there can be 3,4,5 and upwards but not 0,1 or 2
2) AT MOST 2 know each other...so there can be none or one couple knowing each but not >2
3) ATLEAST 1 recognise everyone else in the room.......so there can be 1, 2, 3,4,5 and upwards but not 0

Let's see the statements...

(A) Four people are in the room.
Point 1 tells us it can be 4...... CAN be true

(B) No two people in the room recognize each other.
point 2 confirms this, it can be 0...... CAN be true

(C) At most one person in the room recognizes everybody else in the room.
point 3 tells us that 1 can be ans.... Had it been 0, it would have been Wrong..... CAN be true

(D) Anyone in the room who recognizes any other person in the room is also recognized by that person.
This is in contrast to point 2..
Say there are 3 person. ONE out of these three knows other two as per point 3.
Which would mean the other two would know THIS person.
Meaning more than two people know each other. Against point 2
CANNOT be true.


(E) Two people in the room recognize every one else in the room.
No restrictions as per the statement above..... CAN be true

D
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Re: There are at least three people in the room. At most two people in the   [#permalink] 03 May 2017, 19:49
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