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08 Jul 2020, 12:22
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Difficulty:
45%
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Question Stats:
68% (02:08) correct
32%
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wrong
based on 676
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A hundred students of Midtown college were asked to pick their preference for one of three genres of movies: romantic, drama, and tragedy. Each of them picked one of the three genres. More than half picked romantic, more than a quarter picked drama and at least one picked tragedy. When asked about the genre of the movie Titanic, however, more than three quarter viewed it as a romantic movie.
If all of the statements above are true, which one of the following must also be true?
A: Only the students whose preferences were romantic and drama genres of movies viewed Titanic as a romantic movie.
B: Only the students whose preferences were romantic and tragedy genres of movies viewed Titanic as a romantic movie.
C: At least one student from each genre of movies viewed Titanic as a romantic movie.
D: Some students whose preference was romantic genres of movies viewed Titanic as a romantic movie.
E: Some students whose preference was tragedy genres of movies viewed Titanic as a romantic movie.
If all of the statements above are true, which one of the following must also be true?
A: Only the students whose preferences were romantic and drama genres of movies viewed Titanic as a romantic movie.
B: Only the students whose preferences were romantic and tragedy genres of movies viewed Titanic as a romantic movie.
C: At least one student from each genre of movies viewed Titanic as a romantic movie.
D: Some students whose preference was romantic genres of movies viewed Titanic as a romantic movie.
E: Some students whose preference was tragedy genres of movies viewed Titanic as a romantic movie.
ajaygaur319
Joined: 05 May 2019
Last visit: 01 Jan 2021
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Location: India
Schools: NYU Tech MBA "21
10 Jul 2020, 06:14
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Total number of students: 100
According to the statement, let's assume:
The total number of students who had preferences for romantic movies: 51
The total number of students who had preferences for Drama movies: 26
The total number of students who had preferences for Tragedy movies: <= 23
A: Only the students whose preferences were romantic and drama genres of movies viewed Titanic as a romantic movie. - We cannot say that because someone who prefers tragedy might have viewed as romantic
B: Only the students whose preferences were romantic and tragedy genres of movies viewed Titanic as a romantic movie. - Romantic + Tragedy = 74 but three quarters (75) viewed it as a romantic movie. Cannot be true
C: At least one student from each genre of movies viewed Titanic as a romantic movie. - Romantic + Drama = 76. It might happen that only such people watched this movie and termed that romantic
D: Some students whose preference was romantic genres of movies viewed Titanic as a romantic movie. - True, at least a few people must have thought Titanic as Romantic because Drama + Tragedy = 49 and to make 75, some people from romantic genre must've seen this as romantic
E: Some students whose preference was tragedy genres of movies viewed Titanic as a romantic movie. - Doesn't have to be true because rest 2 can have a sum of 76
(D) is the correct answer.
According to the statement, let's assume:
The total number of students who had preferences for romantic movies: 51
The total number of students who had preferences for Drama movies: 26
The total number of students who had preferences for Tragedy movies: <= 23
A: Only the students whose preferences were romantic and drama genres of movies viewed Titanic as a romantic movie. - We cannot say that because someone who prefers tragedy might have viewed as romantic
B: Only the students whose preferences were romantic and tragedy genres of movies viewed Titanic as a romantic movie. - Romantic + Tragedy = 74 but three quarters (75) viewed it as a romantic movie. Cannot be true
C: At least one student from each genre of movies viewed Titanic as a romantic movie. - Romantic + Drama = 76. It might happen that only such people watched this movie and termed that romantic
D: Some students whose preference was romantic genres of movies viewed Titanic as a romantic movie. - True, at least a few people must have thought Titanic as Romantic because Drama + Tragedy = 49 and to make 75, some people from romantic genre must've seen this as romantic
E: Some students whose preference was tragedy genres of movies viewed Titanic as a romantic movie. - Doesn't have to be true because rest 2 can have a sum of 76
(D) is the correct answer.
05 Aug 2020, 04:28
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