All actors are exuberant people and all exuberant people are extrovert

Question

All actors are exuberant people and all exuberant people are extroverts, but nevertheless it is true that some shy people are actors.

If the statements above are true, each of the following must also be true EXCEPT:

(A) Some shy people are extroverts.
(B) Some shy extroverts are not actors.
(C) Some exuberant people who are actors are shy.
(D) All people who are not extroverts are not actors.
(E) Some extroverts are shy.

chetan2u · Accepted Answer

Hi  Vyshak ,

The answer should be B only ..
One way could be to draw circles for each set of people..
 https://gmatclub.com/forum/download/file.php?mode=view&id=29552

lets see the choices:-
(A) Some shy people are extroverts. 
Some shy people are extroverts, as some shy people are actors and actors are extroverts

(B) Some shy extroverts are not actors. 
We know All actors are exuberant..
and we just know some shy are actors, so these 'some shy are also part of extroverts..
But we do not know anything about remaining SHY people. Are some of them in EXTROVERT or NOT can not be said with the info here
as you can see answer can be YES-- shaded portion-- or NO.
INCORRECT and the ANSWER
 https://gmatclub.com/forum/download/file.php?mode=view&id=29553

(C) Some exuberant people who are actors are shy. 
Correct

(D) All people who are not extroverts are not actors. 
the reasoning is 
if A( actor) then B( extrovert).. MEANS NOT B, then NOT A
so its correct, there is no Actor possible if he is not EXTROVERT because actor is a subset of extrovert

(E) Some extroverts are shy.
Correct

cloudz9 · Answer

A has to be true because all actors are extroverts and some are shy...thus some shy ppl are extroverts.
B doesn't have to be true.
C has to be true because all actors are exuberant and some shy..thus there much be some ppl who are exuberant, shy actors.
D has to be true...if all actors are extroverts, someone who is not an extrovert is not an actor.
E has to be true for same reason as A

Thus ans is B

kwasi7 · Answer

(A) Some shy people are extroverts. 
True
(B) Some shy extroverts are not actors. 
True
(C) Some exuberant people who are actors are shy. 
True
(D) All people who are not extroverts are not actors. 
We can't tell that from the information given.
(E) Some extroverts are shy.
True

So i say D.

christoph · Answer

B) it is...

Minheequang · Answer

IMO  B

All actors are exuberant people and all exuberant people are extroverts, but nevertheless it is true that some shy people are actors.
If the statements above are true, each of the following must also be true EXCEPT:
(A) Some shy people are extroverts --> shy people-->actor-->exuberant-->extrovert -->true
(B) Some shy extroverts are not actors -->  the best: there are some shy people that are actors-->some shy extrovert are actors. But no info about the opposite idea 
(C) Some exuberant people who are actors are shy -->some shy people are actors and all actors are exuberant -->true
(D) All people who are not extroverts are not actors -->all actors are extrovert -->true
(E) Some extroverts are shy -->Some extrovert are actors and some actors are shy -->true

Kurtosis · Answer

Hi  chetan2u ,

Can you help me with this question. OA is B but I picked D. Also, will GMAT test us on these type of questions?

sssanskaar · Answer

As many people have already applied the correct approach here by using Venn-diagram for this solution, we can therefore see that Option B may or may not be true, depending on the size of the sample.

Crytiocanalyst · Answer

(A) Some shy people are extroverts.
Since some actors are shy and these actors are extrovert this can be a possibility - Hence out

(B) Some shy extroverts are not actors.
This may not be a possibility depending on the sample size -Hence in

(C) Some exuberant people who are actors are shy.
This can be a possiblity since there are some shy people as from the argument -Hence out

(D) All people who are not extroverts are not actors.
Yes this is a possiblity from the argument - Hence out

(E) Some extroverts are shy.
Yes this too is a possibility -Hence out 
Therefore IMO B

VerbalBot · Answer

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All actors are exuberant people and all exuberant people are extrovert

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All actors are exuberant people and all exuberant people are extrovert

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