3
$\begingroup$

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 .

$\endgroup$
  • $\begingroup$ 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
7
$\begingroup$

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.

$\endgroup$
  • 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
0
$\begingroup$

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.

$\endgroup$

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.