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19 Nov 2020, 00:54
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Bunuel
I. Person 3 does not salt also does not take relish; TRUE
II. Persons 1 and 2 take pepper and take relish too.; TRUE
III. Person 3 does not relish and also does not take salt.; TRUE
THE ANSWER IS E.
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avigutman
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GMAT 1: 780 Q51 V45
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28 Feb 2021, 05:51
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Video solution from Quant Reasoning starts at 9:36
Subscribe for more: https://www.youtube.com/QuantReasoning? ... irmation=1
Subscribe for more: https://www.youtube.com/QuantReasoning? ... irmation=1
14 Mar 2021, 18:48
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Tricky little question: Takes about a minute to figure out the trick (if you can see it under pressure) and then finding the answer isn't too bad.
We are told that there are 3 Unique People.
Recorded 'Likes':
2 likes for Relish: R = 2
2 likes for Pepper: P = 2
2 likes for Salt: S = 2
"the one who takes no salt takes no pepper"
this means there must be at least one person who takes (RELISH ONLY) - call him A
"the one who takes no pepper takes no relish"
this means there must be at least one person who takes (SALT ONLY) - call him B
Salt: of the 2 recorded "likes" ------> 1 person is B (Salt Only)
Pepper: 2 likes
Relish: of the 2 recorded "likes" -----> 1 person is A - Relish Only
1st, assuming that A and B is a different persona an realizing that one person AT MOST can like all 3 things ---- even if we had the 3rd person (call him C) Like ALL 3 condiments, we would end up with:
A - relish only
B - salt only
C - relish + salt + pepper
___________________
2 "likes" for relish
2 "likes" for salt
and only 1 "like" for pepper
we are missing 1 "like" for pepper when we assume A and B is a different person.
Thus, the only way all the facts can be true given there is only 3 Unique people is when A and B is the SAME PERSON.
1 person - likes NONE of the 3 condiments
and
2 people - like ALL 3 of the condiments (relish + salt + pepper)
Understanding this, it becomes easy to attack the Roman Numerals.
I. the person who take no salt also takes no relish
TRUE - there is 1 person who likes NONE and 2 people who like All 3
II. any of the three persons who take pepper also take relish and salt
TRUE - we have 1 person who must like NONE and the other 2 people must like ALL 3
III. the person who takes no relish is not one of those who take salt
TRUE - the person who takes no relish is the 1 person who must like NONE - so this person who takes no relish will NOT take salt
-E- all 3 roman numerals must be true
We are told that there are 3 Unique People.
Recorded 'Likes':
2 likes for Relish: R = 2
2 likes for Pepper: P = 2
2 likes for Salt: S = 2
"the one who takes no salt takes no pepper"
this means there must be at least one person who takes (RELISH ONLY) - call him A
"the one who takes no pepper takes no relish"
this means there must be at least one person who takes (SALT ONLY) - call him B
Salt: of the 2 recorded "likes" ------> 1 person is B (Salt Only)
Pepper: 2 likes
Relish: of the 2 recorded "likes" -----> 1 person is A - Relish Only
1st, assuming that A and B is a different persona an realizing that one person AT MOST can like all 3 things ---- even if we had the 3rd person (call him C) Like ALL 3 condiments, we would end up with:
A - relish only
B - salt only
C - relish + salt + pepper
___________________
2 "likes" for relish
2 "likes" for salt
and only 1 "like" for pepper
we are missing 1 "like" for pepper when we assume A and B is a different person.
Thus, the only way all the facts can be true given there is only 3 Unique people is when A and B is the SAME PERSON.
1 person - likes NONE of the 3 condiments
and
2 people - like ALL 3 of the condiments (relish + salt + pepper)
Understanding this, it becomes easy to attack the Roman Numerals.
I. the person who take no salt also takes no relish
TRUE - there is 1 person who likes NONE and 2 people who like All 3
II. any of the three persons who take pepper also take relish and salt
TRUE - we have 1 person who must like NONE and the other 2 people must like ALL 3
III. the person who takes no relish is not one of those who take salt
TRUE - the person who takes no relish is the 1 person who must like NONE - so this person who takes no relish will NOT take salt
-E- all 3 roman numerals must be true
