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30 Apr 2025, 05:04
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
75%
(hard)
Question Stats:
48% (01:53) correct
52%
(02:05)
wrong
based on 124
sessions
History
Date
Time
Result
Not Attempted Yet
Marcus owns a movie collection consisting 160 movies, each of them is either a comedy, action movie, or both. He has watched 25% of the comedies and 60% of the action movies. What percentage of the entire collection has Marcus watched?
(1) Marcus owns 80 comedies.
(2) Marcus owns 120 action movies.
Gentle note to all experts and tutors: Please refrain from replying to this question until the Official Answer (OA) is revealed. Let students attempt to solve it first. You are all welcome to contribute posts after the OA is posted. Thank you all for your cooperation!
(1) Marcus owns 80 comedies.
(2) Marcus owns 120 action movies.
Gentle note to all experts and tutors: Please refrain from replying to this question until the Official Answer (OA) is revealed. Let students attempt to solve it first. You are all welcome to contribute posts after the OA is posted. Thank you all for your cooperation!
10 May 2025, 13:00
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Official Solution:
Marcus owns a movie collection consisting 160 movies, each of them is either a comedy, action movie, or both. He has watched 25% of the comedies and 60% of the action movies. What percentage of the entire collection has Marcus watched?
(1) Marcus owns 80 comedies.
This allows us to calculate how many comedies he has watched (25% of 80 = 20), but we still cannot determine the total number of movies he watched. Not sufficient.
(2) Marcus owns 120 action movies.
This allows us to calculate how many action movies he has watched (60% of 120 = 72), but we still cannot determine the total number of movies he watched. Not sufficient.
(1)+(2) We can determine that 80 + 120 - 160 = 40 movies are categorized as both a comedy and an action movie. We also know that Marcus watched 20 comedies and 72 action movies. However, some of the movies he watched may fall into both categories, meaning they could have been counted twice. Without knowing how many of the watched movies overlap, we cannot determine the total number of distinct movies he has watched. Therefore, we cannot calculate the percentage of the 160 movies he watched. Not sufficient.
Answer: E
Marcus owns a movie collection consisting 160 movies, each of them is either a comedy, action movie, or both. He has watched 25% of the comedies and 60% of the action movies. What percentage of the entire collection has Marcus watched?
(1) Marcus owns 80 comedies.
This allows us to calculate how many comedies he has watched (25% of 80 = 20), but we still cannot determine the total number of movies he watched. Not sufficient.
(2) Marcus owns 120 action movies.
This allows us to calculate how many action movies he has watched (60% of 120 = 72), but we still cannot determine the total number of movies he watched. Not sufficient.
(1)+(2) We can determine that 80 + 120 - 160 = 40 movies are categorized as both a comedy and an action movie. We also know that Marcus watched 20 comedies and 72 action movies. However, some of the movies he watched may fall into both categories, meaning they could have been counted twice. Without knowing how many of the watched movies overlap, we cannot determine the total number of distinct movies he has watched. Therefore, we cannot calculate the percentage of the 160 movies he watched. Not sufficient.
Answer: E
General Discussion
08 May 2025, 14:33
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Bunuel
- Comedy Movie = C
- Action Movie = A
- Both = B
Therefore C + A + B = 160
Statement 1
(1) Marcus owns 80 comedies.
C + B = 80
No information on A. Hence, the statement alone is not sufficient. Eliminate A and D.
Statement 2
(2) Marcus owns 120 action movies.
A + B = 120
No information on C. Hence, the statement alone is not sufficient. Eliminate B.
Combined
A + 2B + C = 200
B = 40 , A = 80 and C = 40
Case 1: Let's assume Marcus watch 10 comedy and action movies, and 62 only action movies.
Ratio = 72 / 160 = 9/20
Case 2: Let's assume Marcus watch 10 only comedy , and 72 only action movies.
Ration = 82 / 160 = 41/80
As we are getting two different answers, the statements combined is also not sufficient.
Option E
