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1: D
2: A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
65%
(hard)
Question Stats:
64% (02:58) correct
36%
(03:00)
wrong
based on 1554
sessions
History
Date
Time
Result
Not Attempted Yet
Today a certain cinema multiplex has exactly two showings (an early showing and a late showing) for each of five films (Films A, B, C, D, and E). All of these showings occur after noon, and each showing consists of the film only, with no previews, announcements, or advertisements. The following gives the duration of each film and the start time for each showing:
Film A (90 minutes); 3:45 and 5:30
Film B (100 minutes); 1:30 and 7:15
Film C (105 minutes); 2:00 and 6:00
Film D (115 minutes); 5:00 and 8:00
Film E (125 minutes); 12:15 and 7:00
Statement: The early showing of Film 1 overlaps with at least part of both showings of Film 2.
Select for 1 and for 2 the options that complete the statement so that it is accurate of the showings listed in the information provided. Make only two selections, one in each column.
Film A (90 minutes); 3:45 and 5:30
Film B (100 minutes); 1:30 and 7:15
Film C (105 minutes); 2:00 and 6:00
Film D (115 minutes); 5:00 and 8:00
Film E (125 minutes); 12:15 and 7:00
Statement: The early showing of Film 1 overlaps with at least part of both showings of Film 2.
Select for 1 and for 2 the options that complete the statement so that it is accurate of the showings listed in the information provided. Make only two selections, one in each column.
| 1 | 2 | |
| A | ||
| B | ||
| C | ||
| D | ||
| E |
ShowHide Answer
Official Answer
1: D
2: A
04 Feb 2024, 18:45
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Today a certain cinema multiplex has exactly two showings (an early showing and a late showing) for each of five films (Films A, B, C, D, and E). All of these showings occur after noon, and each showing consists of the film only, with no previews, announcements, or advertisements. The following gives the duration of each film and the start time for each showing:
Film A (90 minutes); 3:45 and 5:30
Film B (100 minutes); 1:30 and 7:15
Film C (105 minutes); 2:00 and 6:00
Film D (115 minutes); 5:00 and 8:00
Film E (125 minutes); 12:15 and 7:00
Statement: The early showing of Film 1 overlaps with at least part of both showings of Film 2.
Select for 1 and for 2 the options that complete the statement so that it is accurate of the showings listed in the information provided. Make only two selections, one in each column.
This question is fairly easy to answer. We just have to execute efficiently and accurately to get it correct quickly.
To do so, we can check the films in order to see which film's early showing overlaps both of another film's showings.
Film A
The early showing starts at 3:45 and runs for 90 minutes until 5:15.
No other film's late showing starts before 5:15. So, A is out for Film 1.
Film B
The early showing starts at 1:30 and runs for 100 minutes until 3:10.
No other film's late showing starts before 5:15. So, B is out for Film 1.
Film C
The early showing starts at 2:00 and runs for 105 minutes until 3:45.
No other film's late showing starts before 3:45. So, C is out for Film 1.
Film D
The early showing starts at 5:00 and runs for 115 minutes until 6:55.
We see that this overlaps Film A's early showing, which we already know runs until 5:15.
This also overlaps Film A's late showing, which starts at 5:30.
So, we're done.
Correct answer: D, A
Film A (90 minutes); 3:45 and 5:30
Film B (100 minutes); 1:30 and 7:15
Film C (105 minutes); 2:00 and 6:00
Film D (115 minutes); 5:00 and 8:00
Film E (125 minutes); 12:15 and 7:00
Statement: The early showing of Film 1 overlaps with at least part of both showings of Film 2.
Select for 1 and for 2 the options that complete the statement so that it is accurate of the showings listed in the information provided. Make only two selections, one in each column.
This question is fairly easy to answer. We just have to execute efficiently and accurately to get it correct quickly.
To do so, we can check the films in order to see which film's early showing overlaps both of another film's showings.
Film A
The early showing starts at 3:45 and runs for 90 minutes until 5:15.
No other film's late showing starts before 5:15. So, A is out for Film 1.
Film B
The early showing starts at 1:30 and runs for 100 minutes until 3:10.
No other film's late showing starts before 5:15. So, B is out for Film 1.
Film C
The early showing starts at 2:00 and runs for 105 minutes until 3:45.
No other film's late showing starts before 3:45. So, C is out for Film 1.
Film D
The early showing starts at 5:00 and runs for 115 minutes until 6:55.
We see that this overlaps Film A's early showing, which we already know runs until 5:15.
This also overlaps Film A's late showing, which starts at 5:30.
So, we're done.
Correct answer: D, A
04 Feb 2024, 13:21
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This question can be answer almost without any calculation and in ~1min. You just need to notice that the early showings start at 12:15 and the last starts at 5:00, while the late showings just start at 5:30! This means that the early showings are almost disjunt to the late shows. So the most probable intersection is with the last movie from the early sections (movie D). The other movie being overlapped with movie D in the afternoon is movie A (3:15+90min = 5:45 > 5:00). Also, the easly showing of movie D intersects A's later showing (5:00+115min = 6:55 > 5:30).
You can also visualize by ordering the movies per showing:
time: (noon)---------------------(5h)--(5h30)---------------------------------|
early: E------B------C------A------D-------------------------------------------|
late: ------------------------------------------A------C------E------B------D---|
So "D" and "A" are the movies to fill the blank.
You can also visualize by ordering the movies per showing:
time: (noon)---------------------(5h)--(5h30)---------------------------------|
early: E------B------C------A------D-------------------------------------------|
late: ------------------------------------------A------C------E------B------D---|
So "D" and "A" are the movies to fill the blank.
