This is a logical puzzle that I found, but I can't for the life of me figure out who likes Actress E and hence I'm stuck. The question is as follows :

At a movie theatre six people are randomly chosen to take part in a survey. Out of the 6 people 4 are working professionals and 2 are college students. These six people each live in 4 different parts of the city namely Area P, Area Q, Area R and Area S. In the survey each person is asked two questions

Question 1 - What type of movies do they like? Each person answered a different type of movie out of Cartoons, Science Fiction, Comedies, Dramas, Documentaries and Tragedies.

Question 2 - Who is their favourite actress? Again each person answered a different actress namely A, B, C, D, E or F. The following information is provided

  • None of the working professionals like Science Fiction or Tragedies.

  • Only two persons live in Area Q and one of them likes Cartoons and the other likes Tragedies

  • One of the persons who lives in Area R likes Documentaries

  • One of the persons who lives in Area S likes Dramas

  • The college students live in Area Q and Area P

  • The person whose favourite actress is C does not like Dramas

  • The person whose favourite actress is E does not like Cartoons

  • Two working professionals who are the only people living in their respective areas have their favourite actresses as B and C .

  • $\begingroup$ You have 2 people in Q, and the implication of at least 2 in R and S. You have at least 1 in P, so that makes 7 areas. $\endgroup$
    – Dr Xorile
    Oct 13 '15 at 23:01
  • $\begingroup$ @DrXorile R and S don't have to have more than one, even if the wording suggests it. $\endgroup$
    – f''
    Oct 13 '15 at 23:01
  • 1
    $\begingroup$ I think there is not enough information to solve this. $\endgroup$
    – f''
    Oct 13 '15 at 23:04
  • $\begingroup$ Unless there's some fault in my logic, either the two college student, or the person who likes comedy likes actress E $\endgroup$
    – Yaze
    Oct 13 '15 at 23:05
  • $\begingroup$ The person who likes comedy likes either B or C. $\endgroup$
    – Dr Xorile
    Oct 13 '15 at 23:07

There is not enough information to determine which person chose Actress E.

Suppose we have a situation that satisfies all of the statements. One person chose A, one chose D and one person chose F. Out of these three people, at most one likes cartoons. Then we can switch E with one of the other two, producing another situation that satisfies all of the statements.

The information we can deduce is as follows:

A professional, who likes documentaries and chose Actress C, lives alone in area R.
A professional, who likes dramas and chose Actress B, lives alone in area S.
A professional, who likes cartoons and did not choose Actress E, lives in area Q.
A student, who likes tragedies, lives in area Q.
A professional, who likes comedies, lives in area P.
A student, who likes science fiction, lives in area P.

Any one of the last three people in that list could have chosen E.

  • 1
    $\begingroup$ This is the same conclusion I got $\endgroup$
    – Yaze
    Oct 13 '15 at 23:14
  • $\begingroup$ It was taken from an example question paper for an entrance examination of a College. Idk, if it's complete or not but your answers does make a lot more sense to me. Thank you for your times and everyone who tried it out. $\endgroup$
    – LoXatoR
    Oct 15 '15 at 12:55

WP1 lives is P, likes Comedy and actress A, D, E, or F

WP2 lives in S, likes Drama and likes B

WP3 lives in R, likes Documentaries and C

WP4 lives in Q, likes Cartoons and likes A, D or F

C1 lives in P, likes SF and doesn't like B or C

C2 lives in Q, likes Tragedies and doesn't like B or C.


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