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25 Sep 2025, 02:09
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Every hall opened before 1900 has seating capacity under 2000 or an average ticket price below $70.: No
Among halls with acoustic rating at least 9 and seating capacity above 2000, the oldest hall charges less on average than the newest hall.: Yes
No hall opened before 1950 and priced under $90 has an acoustic rating of 10.: Yes
The table shows information for 8 major concert halls around the world. For each hall, the data include seating capacity, year opened, average ticket price for classical performances, and an acoustic rating on a 1–10 scale.
For each of the following statements about the concert halls shown in the table, select Yes if that statement accurately reflects the information provided. Otherwise, select No.
| Hall | Seating capacity | Year opened | Average ticket price (USD) | Acoustic rating |
|---|---|---|---|---|
| Carnegie Hall | 2804 | 1891 | 85 | 9 |
| Sydney Opera House | 2679 | 1973 | 75 | 8 |
| Vienna Musikverein | 1744 | 1870 | 95 | 10 |
| Berlin Philharmonie | 2400 | 1963 | 70 | 9 |
| Tokyo Opera City | 1632 | 1997 | 68 | 8 |
| Walt Disney Concert Hall | 2265 | 2003 | 80 | 9 |
| Royal Albert Hall | 5272 | 1871 | 65 | 7 |
| Elbphilharmonie | 2100 | 2017 | 100 | 10 |
For each of the following statements about the concert halls shown in the table, select Yes if that statement accurately reflects the information provided. Otherwise, select No.
| Yes | No | |
| Every hall opened before 1900 has seating capacity under 2000 or an average ticket price below $70. | ||
| Among halls with acoustic rating at least 9 and seating capacity above 2000, the oldest hall charges less on average than the newest hall. | ||
| No hall opened before 1950 and priced under $90 has an acoustic rating of 10. |
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Official Answer
Every hall opened before 1900 has seating capacity under 2000 or an average ticket price below $70.: No
Among halls with acoustic rating at least 9 and seating capacity above 2000, the oldest hall charges less on average than the newest hall.: Yes
No hall opened before 1950 and priced under $90 has an acoustic rating of 10.: Yes
25 Sep 2025, 02:09
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Official Solution:
• Every hall opened before 1900 has seating capacity under 2000 or an average ticket price below $70.
Carnegie Hall (1891) has 2804 seats and an $85 price, so it satisfies neither condition and disproves the claim.
Answer: No
• Among halls with acoustic rating at least 9 and seating capacity above 2000, the oldest hall charges less on average than the newest hall.
Within that subset, the oldest is Carnegie Hall ($85) and the newest is Elbphilharmonie ($100); since 85 < 100, the claim holds.
Answer: Yes
• No hall opened before 1950 and priced under $90 has an acoustic rating of 10.
The only halls meeting both filters are Carnegie Hall (rating 9) and Royal Albert Hall (rating 7); neither is rated 10.
Answer: Yes
Correct answer:
Every hall opened before 1900 has seating capacity under 2000 or an average ticket price below $70. "No"
Among halls with acoustic rating at least 9 and seating capacity above 2000, the oldest hall charges less on average than the newest hall. "Yes"
No hall opened before 1950 and priced under $90 has an acoustic rating of 10. "Yes"
Bunuel
• Every hall opened before 1900 has seating capacity under 2000 or an average ticket price below $70.
Carnegie Hall (1891) has 2804 seats and an $85 price, so it satisfies neither condition and disproves the claim.
Answer: No
• Among halls with acoustic rating at least 9 and seating capacity above 2000, the oldest hall charges less on average than the newest hall.
Within that subset, the oldest is Carnegie Hall ($85) and the newest is Elbphilharmonie ($100); since 85 < 100, the claim holds.
Answer: Yes
• No hall opened before 1950 and priced under $90 has an acoustic rating of 10.
The only halls meeting both filters are Carnegie Hall (rating 9) and Royal Albert Hall (rating 7); neither is rated 10.
Answer: Yes
Correct answer:
Every hall opened before 1900 has seating capacity under 2000 or an average ticket price below $70. "No"
Among halls with acoustic rating at least 9 and seating capacity above 2000, the oldest hall charges less on average than the newest hall. "Yes"
No hall opened before 1950 and priced under $90 has an acoustic rating of 10. "Yes"
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19 May 2026, 16:13
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I think for the 3rd part ans should be no because
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