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Updated on: 09 Oct 2018, 08:19
Originally posted by vaivish1723 on 25 Jan 2010, 10:09.
Last edited by Bunuel on 09 Oct 2018, 08:19, edited 1 time in total.
Last edited by Bunuel on 09 Oct 2018, 08:19, edited 1 time in total.
Renamed the topic and edited the question.
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
75%
(hard)
Question Stats:
53% (02:00) correct
47%
(01:52)
wrong
based on 901
sessions
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Time
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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.
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.
28 Jan 2010, 04:38
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Rule#1: There are at least three people in the room. (Room has >=3people)
Rule#2: At most two people in the room recognize each other. (Max 2 people recognize each other)
Rule#3: At least one person in the room recognizes everybody else in the room. (>= 1 person recog. everyone else)
(A) Four people are in the room.
Consistent. This does not violate any rule above.
(B) No two people in the room recognize each other.
Consistent. Relates to the Rule #2. Rule says that at max. there can be 2 people who recognize each other and at the minimum there can be 0 people. Here 0 people recognize each other. Hence consistent.
(C) At most one person in the room recognizes everybody else in the room.
Consistent. Rule #3. Answer can be >= 1. Here it is 1.
(D) Anyone in the room who recognizes any other person in the room is also recognized by that person.
Not consistent. Violates Rule #2. Because of the number of people in the room is 3, then all the 3 recognize each other. And this is more than 2 people. Hence not consistent.
(E) Two people in the room recognize every one else in the room.
Consistent. Based on Rule #3. (>= 1 person)
Rule#2: At most two people in the room recognize each other. (Max 2 people recognize each other)
Rule#3: At least one person in the room recognizes everybody else in the room. (>= 1 person recog. everyone else)
(A) Four people are in the room.
Consistent. This does not violate any rule above.
(B) No two people in the room recognize each other.
Consistent. Relates to the Rule #2. Rule says that at max. there can be 2 people who recognize each other and at the minimum there can be 0 people. Here 0 people recognize each other. Hence consistent.
(C) At most one person in the room recognizes everybody else in the room.
Consistent. Rule #3. Answer can be >= 1. Here it is 1.
(D) Anyone in the room who recognizes any other person in the room is also recognized by that person.
Not consistent. Violates Rule #2. Because of the number of people in the room is 3, then all the 3 recognize each other. And this is more than 2 people. Hence not consistent.
(E) Two people in the room recognize every one else in the room.
Consistent. Based on Rule #3. (>= 1 person)
General Discussion
29 Oct 2011, 22:43
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Picked D in 89 seconds.
Strategy: Pick 3 or 4 as the total number of people in the room and then apply all 3 rules ( including the one in the answer choice under scrutiny). This will clearly show a disagreement in D.
Strategy: Pick 3 or 4 as the total number of people in the room and then apply all 3 rules ( including the one in the answer choice under scrutiny). This will clearly show a disagreement in D.
22 Jun 2012, 09:01
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O is D.
Since there are at least 3 people in the room, D is inconsistent since those 3 people will all recognise each other, but we are told that at most 2 people recognise each other. Inconsistent.
Cheers,
Der alte Fritz
Since there are at least 3 people in the room, D is inconsistent since those 3 people will all recognise each other, but we are told that at most 2 people recognise each other. Inconsistent.
Cheers,
Der alte Fritz
