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The highest-revenue movie released after 2005 was directed by a director who is not among the top three directors overall by revenue.: No
No two movies released in consecutive calendar years have revenues differing by less than 50 million.: Yes
Every director who released a movie before 2000 has revenue greater than at least one director who released a movie in or after 2005.: Yes
A film archive recorded details of 9 movies released between 1995 and 2010. The table lists each movie’s director, release year, and total box office revenue (in millions of dollars). No two directors share the same last name.
For each of the following statements about the movies listed in the table, select Yes if the information provided indicates the statement is accurate. Otherwise select No.
| Director | Release year | Revenue (millions) |
|---|---|---|
| Lopez | 1996 | 420 |
| Chen | 1998 | 515 |
| Singh | 2000 | 188 |
| Olsen | 2001 | 97 |
| Khan | 2003 | 605 |
| Patel | 2005 | 612 |
| Hernandez | 2007 | 301 |
| Okafor | 2008 | 429 |
| Nakamura | 2010 | 520 |
For each of the following statements about the movies listed in the table, select Yes if the information provided indicates the statement is accurate. Otherwise select No.
| Yes | No | |
| The highest-revenue movie released after 2005 was directed by a director who is not among the top three directors overall by revenue. | ||
| No two movies released in consecutive calendar years have revenues differing by less than 50 million. | ||
| Every director who released a movie before 2000 has revenue greater than at least one director who released a movie in or after 2005. |
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Official Answer
The highest-revenue movie released after 2005 was directed by a director who is not among the top three directors overall by revenue.: No
No two movies released in consecutive calendar years have revenues differing by less than 50 million.: Yes
Every director who released a movie before 2000 has revenue greater than at least one director who released a movie in or after 2005.: Yes
24 Sep 2025, 10:09
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Official Solution:
• The highest-revenue movie released after 2005 was directed by a director who is not among the top three directors overall by revenue.
After 2005 the highest-revenue movie is Nakamura’s 2010 release with 520. The overall top three by revenue are Patel 612, Khan 605, and Nakamura 520, so that director is in the top three.
Answer: No
• No two movies released in consecutive calendar years have revenues differing by less than 50 million.
The only consecutive calendar-year pairs present are 2000 and 2001 (188 vs 97, difference 91) and 2007 and 2008 (301 vs 429, difference 128). Both differences are greater than 50.
Answer: Yes
• Every director who released a movie before 2000 has revenue greater than at least one director who released a movie in or after 2005.
Before 2000 the revenues are Lopez 420 and Chen 515. In or after 2005 there is Hernandez 301, which is lower than both 420 and 515, so each director before 2000 exceeds at least one director from 2005 or later.
Answer: Yes
Correct answer:
The highest-revenue movie released after 2005 was directed by a director who is not among the top three directors overall by revenue. "No"
No two movies released in consecutive calendar years have revenues differing by less than 50 million. "Yes"
Every director who released a movie before 2000 has revenue greater than at least one director who released a movie in or after 2005. "Yes"
Bunuel
• The highest-revenue movie released after 2005 was directed by a director who is not among the top three directors overall by revenue.
After 2005 the highest-revenue movie is Nakamura’s 2010 release with 520. The overall top three by revenue are Patel 612, Khan 605, and Nakamura 520, so that director is in the top three.
Answer: No
• No two movies released in consecutive calendar years have revenues differing by less than 50 million.
The only consecutive calendar-year pairs present are 2000 and 2001 (188 vs 97, difference 91) and 2007 and 2008 (301 vs 429, difference 128). Both differences are greater than 50.
Answer: Yes
• Every director who released a movie before 2000 has revenue greater than at least one director who released a movie in or after 2005.
Before 2000 the revenues are Lopez 420 and Chen 515. In or after 2005 there is Hernandez 301, which is lower than both 420 and 515, so each director before 2000 exceeds at least one director from 2005 or later.
Answer: Yes
Correct answer:
The highest-revenue movie released after 2005 was directed by a director who is not among the top three directors overall by revenue. "No"
No two movies released in consecutive calendar years have revenues differing by less than 50 million. "Yes"
Every director who released a movie before 2000 has revenue greater than at least one director who released a movie in or after 2005. "Yes"
