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Updated on: 23 Oct 2023, 07:26
Originally posted by Sajjad1994 on 27 May 2021, 21:00.
Last edited by BottomJee on 23 Oct 2023, 07:26, edited 2 times in total.
Last edited by BottomJee on 23 Oct 2023, 07:26, edited 2 times in total.
Moved to new forum
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A certain annual film festival has several committees that vote on what films will be shown at the festival. A live-action film must be approved by Committee 1, which must give unanimous approval by its 4 members. An animated film must be approved by Committee 2, whose 3 members must give unanimous approval. A feature-length movie must be approved by a majority of Committee 3, which has 5 members. A short movie must be approved by at least 1 member of Committee 4, which has 2 members. A documentary must be approved by at least 1 of Committee 5’s 3 members. Committee members may serve on more than one committee. A movie that fits into multiple categories must be considered by every applicable committee, and it will be shown only if each of those committees approves.
Every movie shown at the film festival this year was approved by at least 2 committees.: Yes
At least 7 committee members voted to show Movie C at the film festival this year.: No
Movie D received more votes than did Movie B to be shown at the film festival this year.: Yes
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
95%
(hard)
Question Stats:
20% (03:36) correct
80%
(03:51)
wrong
based on 874
sessions
History
Date
Time
Result
Not Attempted Yet
1. For each of the following statements, select Yes if, based on the information provided, the statement can be shown to be true. Otherwise, select No.
| Yes | No | |
| Every movie shown at the film festival this year was approved by at least 2 committees. | ||
| At least 7 committee members voted to show Movie C at the film festival this year. | ||
| Movie D received more votes than did Movie B to be shown at the film festival this year. |
ShowHide Answer
Official Answer
Every movie shown at the film festival this year was approved by at least 2 committees.: Yes
At least 7 committee members voted to show Movie C at the film festival this year.: No
Movie D received more votes than did Movie B to be shown at the film festival this year.: Yes
Movie E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
5%
(low)
Question Stats:
88% (00:44) correct
12%
(01:16)
wrong
based on 609
sessions
History
Date
Time
Result
Not Attempted Yet
2. Which of the following films shown at the festival had the greatest range among its three scores?
| Movie A | |
| Movie B | |
| Movie C | |
| Movie D | |
| Movie E |
ShowHide Answer
Official Answer
Movie E
Movie B: Yes
Movie C: No
Movie E: No
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
5%
(low)
Question Stats:
81% (01:08) correct
19%
(01:04)
wrong
based on 672
sessions
History
Date
Time
Result
Not Attempted Yet
3. For each of the following movies, select Yes if it can be inferred that the movie wins an Audience Pick award at the film festival. Otherwise, select No.
| Yes | No | |
| Movie B | ||
| Movie C | ||
| Movie E |
ShowHide Answer
Official Answer
Movie B: Yes
Movie C: No
Movie E: No
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Attachment:
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18 Dec 2023, 01:28
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Official Explanation
1. For each of the following statements, select Yes if, based on the information provided, the statement can be shown to be true. Otherwise, select No.
Difficulty Level: 750-800
Explanation
Statement 1: The first tab describes each committee and what types of movies it must approve, and it also states that a movie must be approved by all relevant committees. The third tab shows what movies are playing this year. Each movie listed is either live-action or animated. That means that each movie will be considered by either Committee 1 or Committee 2. Each movie in the table is also either short or feature-length, which means that each will have to be approved by either Committee 3 or 4. Each of the two documentaries will also have to be approved by Committee 5, but it’s enough to notice that each movie is reviewed by two committees, and the answer is Yes.
Answer: Yes
Statement 2: According to the third tab, Movie C is a feature-length, live-action movie, so to be shown in the festival, it must have been approved by Committees 1 and 3. Committee 1 has 4 members, who must vote unanimously to approve a movie. Committee 3 has 5 members and only requires a majority, or 3 members, to approve. Thus, Movie C received 7 votes. However, remember that, according to the first tab, people may serve on more than one committee. If, for example, all 4 members of Committee 1 were also on Committee 3, then it’s possible that those 4 members were the only people who voted to show this movie, since they would be a majority of Committee C. The answer is No.
Answer: No
Statement 3: Note that, unlike the last statement, this statement refers to votes, rather than to committee members, so it’s irrelevant whether votes on different committees come from the same person; all that matters is how many votes there were, not who they came from. Movie D is a short, live-action documentary, so it must be approved by Committees 1, 4, and 5. Committee 1 requires a unanimous vote, which is 4 votes. Approval from Committee 4 requires at least 1 out of 2 votes, and approval by Committee 5 requires at least 1 out of 3 votes. That means Movie D received at least 6 votes and at most 9.
Movie B is an animated short film, so it must have been voted on by Committees 2 and 4. Committee 2 requires a unanimous vote by its 3 members, and Committee 4 requires at least 1 out of 2 votes, so Movie B received between 4 and 5 votes. So, even though there’s no way to know for sure exactly how many votes each movie got, every possible number of votes for Movie D is greater than every possible number of votes for Movie B, which means the answer is Yes.
Answer: Yes
Difficulty Level: 750-800
Explanation
Statement 1: The first tab describes each committee and what types of movies it must approve, and it also states that a movie must be approved by all relevant committees. The third tab shows what movies are playing this year. Each movie listed is either live-action or animated. That means that each movie will be considered by either Committee 1 or Committee 2. Each movie in the table is also either short or feature-length, which means that each will have to be approved by either Committee 3 or 4. Each of the two documentaries will also have to be approved by Committee 5, but it’s enough to notice that each movie is reviewed by two committees, and the answer is Yes.
Answer: Yes
Statement 2: According to the third tab, Movie C is a feature-length, live-action movie, so to be shown in the festival, it must have been approved by Committees 1 and 3. Committee 1 has 4 members, who must vote unanimously to approve a movie. Committee 3 has 5 members and only requires a majority, or 3 members, to approve. Thus, Movie C received 7 votes. However, remember that, according to the first tab, people may serve on more than one committee. If, for example, all 4 members of Committee 1 were also on Committee 3, then it’s possible that those 4 members were the only people who voted to show this movie, since they would be a majority of Committee C. The answer is No.
Answer: No
Statement 3: Note that, unlike the last statement, this statement refers to votes, rather than to committee members, so it’s irrelevant whether votes on different committees come from the same person; all that matters is how many votes there were, not who they came from. Movie D is a short, live-action documentary, so it must be approved by Committees 1, 4, and 5. Committee 1 requires a unanimous vote, which is 4 votes. Approval from Committee 4 requires at least 1 out of 2 votes, and approval by Committee 5 requires at least 1 out of 3 votes. That means Movie D received at least 6 votes and at most 9.
Movie B is an animated short film, so it must have been voted on by Committees 2 and 4. Committee 2 requires a unanimous vote by its 3 members, and Committee 4 requires at least 1 out of 2 votes, so Movie B received between 4 and 5 votes. So, even though there’s no way to know for sure exactly how many votes each movie got, every possible number of votes for Movie D is greater than every possible number of votes for Movie B, which means the answer is Yes.
Answer: Yes
General Discussion
rocky620
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05 Aug 2021, 06:11
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1. For each of the following statements, select Yes if, based on the information provided, the statement can be shown to be true. Otherwise, select No.
Every movie shown at the film festival this year was approved by at least 2 committees......YES. All the movies shown in the festival fall under atleast two categories, and to be shown at the festival, the movie has to get the approval of all the categories, in which it falls.
At least 7 committee members voted to show Movie C at the film festival this year......NO. Movie C falls under the Feature length & Live-action categories, and the committee approval votes for the respective categories are 3 & 4. So, Movie C got atleast 7 votes and maximum 9 votes.
Movie D received more votes than did Movie B to be shown at the film festival this year......YES.
Movie D : Falls under 3 categories - Short, Live Action, & Documentary. Minimum Votes needed to be featured = 1+4+1 (respectively) = 6
Movie B : Falls under 2 categories - Short & Animated. Minimum Votes needed to be featured = 1+3(respectively) = 4. Even if the movie gets Maximum votes the total will be 2+3=5, which is still lower than the minimum votes of Movie D.
2. Which of the following films shown at the festival had the greatest range among its three scores?
AS = Audience Score
JS = Jury Score
CS = Critic Score
A. Movie A - Range => AS-CS = 4.1-3.8 = 0.3
B. Movie B - Range => AS-JS = 5.0-3.8 = 1.2
C. Movie C - Range => CS-JS = 4.3-4.0 = 0.3
D. Movie D - Range => JS-AS = 4.3-3.8 = 0.5
E. Movie E - Range => AS-JS = 5.0-3.7 = 1.3
3. For each of the following movies, select Yes if it can be inferred that the movie wins an Audience Pick award at the film festival. Otherwise, select No.
Movie B.....YES. Since both JS & CS are less than 4, and AS is greater than 4, the movie gets an Audience Pick Award
Movie C.....NO. Although AS is 4.1, we would consider this score only if the movie fails to win the JS or CS. The respective scores for JS & CS are 4.0 & 4.3. So, the movie will receive the Seal of Approval (because of its CS's score).
Movie E.....NO. Although AS is 5.0, we would consider this score only if the movie fails to win the JS or CS. The respective scores for JS & CS are 3.7 & 4.2. So, the movie will receive the Seal of Approval (because of its CS's score).
Every movie shown at the film festival this year was approved by at least 2 committees......YES. All the movies shown in the festival fall under atleast two categories, and to be shown at the festival, the movie has to get the approval of all the categories, in which it falls.
At least 7 committee members voted to show Movie C at the film festival this year......NO. Movie C falls under the Feature length & Live-action categories, and the committee approval votes for the respective categories are 3 & 4. So, Movie C got atleast 7 votes and maximum 9 votes.
Movie D received more votes than did Movie B to be shown at the film festival this year......YES.
Movie D : Falls under 3 categories - Short, Live Action, & Documentary. Minimum Votes needed to be featured = 1+4+1 (respectively) = 6
Movie B : Falls under 2 categories - Short & Animated. Minimum Votes needed to be featured = 1+3(respectively) = 4. Even if the movie gets Maximum votes the total will be 2+3=5, which is still lower than the minimum votes of Movie D.
2. Which of the following films shown at the festival had the greatest range among its three scores?
AS = Audience Score
JS = Jury Score
CS = Critic Score
A. Movie A - Range => AS-CS = 4.1-3.8 = 0.3
B. Movie B - Range => AS-JS = 5.0-3.8 = 1.2
C. Movie C - Range => CS-JS = 4.3-4.0 = 0.3
D. Movie D - Range => JS-AS = 4.3-3.8 = 0.5
E. Movie E - Range => AS-JS = 5.0-3.7 = 1.3
3. For each of the following movies, select Yes if it can be inferred that the movie wins an Audience Pick award at the film festival. Otherwise, select No.
Movie B.....YES. Since both JS & CS are less than 4, and AS is greater than 4, the movie gets an Audience Pick Award
Movie C.....NO. Although AS is 4.1, we would consider this score only if the movie fails to win the JS or CS. The respective scores for JS & CS are 4.0 & 4.3. So, the movie will receive the Seal of Approval (because of its CS's score).
Movie E.....NO. Although AS is 5.0, we would consider this score only if the movie fails to win the JS or CS. The respective scores for JS & CS are 3.7 & 4.2. So, the movie will receive the Seal of Approval (because of its CS's score).
