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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"
bb
• 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"
