All actors are exuberant people and all exuberant people are extroverts, but nevertheless it is true that some shy people are actors.
(A) Some shy people are extroverts
( B) Some shy extroverts are not actors
Suspicion: Do we start here
Some shy people are actors. In order to be a shy extrovert, it must be that some shy people are actors. ? All actors have to be exuberant. This leads them to being extroverted. Thus, some shy extroverts have to be 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.
Are you sure you didn't leave out some crucial
part ot the question. Maybe something like: Which of the following is NOT necessarily true?
A). Since ALL actors are both exuberant and extroverts, and some shy people are actors, then those shy people who are actors are also extroverts. (TRUE)
B) There is nothing in the statement that precludes the possibility that of all the extroverts, ONLY actors are shy. If that is so then B is FALSE.
C). Since all actors are exuberant, those actors that are shy are also exuberant. TRUE
D). Since all actors are extroverts (if "ACTOR" then "EXTROVERT"), then if you are not an extrovert, you cannot be an actor (contrapositive: if NOT "EXTROVERT" then NOT "ACTOR"). TRUE
E). Since all actors are extroverts, those actors that are shy are also extrovert. TRUE
Former Senior Instructor, Manhattan GMAT and VeritasPrep
Vice President, Midtown NYC Investment Bank, Structured Finance IT
MFE, Haas School of Business, UC Berkeley, Class of 2005
MBA, Anderson School of Management, UCLA, Class of 1993