For each of the 20 composers of classical music, the table gives the year of birth, the year of death,...
GMAT Table Analysis : (TA) Questions
For each of the 20 composers of classical music, the table gives the year of birth, the year of death, and the number of live performances of the composer's works in 2010.
| Composer | Year of birth | Year of death | Number of performances |
|---|---|---|---|
| Bach | 1685 | 1750 | 1388 |
| Beethoven | 1770 | 1827 | 2859 |
| Brainns | 1833 | 1897 | 1848 |
| Chopin | 1810 | 1849 | 748 |
| Dvorak | 1841 | 1904 | 1071 |
| Handel | 1685 | 1759 | 757 |
| Haydn | 1732 | 1809 | 989 |
| Mendelssohn | 1809 | 1847 | 865 |
| Mozart | 1756 | 1791 | 3035 |
| Prokofiev | 1891 | 1953 | 931 |
| Puccini | 1858 | 1924 | 723 |
| Rachmaninov | 1873 | 1943 | 673 |
| Ravel | 1875 | 1937 | 864 |
| Schubert | 1797 | 1828 | 1023 |
| Schumann | 1810 | 1856 | 1460 |
| Shostakovich | 1906 | 1975 | 779 |
| Strauss | 1864 | 1949 | 720 |
| Stravinsky | 1882 | 1971 | 849 |
| Tchaikovsky | 1840 | 1893 | 2295 |
| Verdi | 1813 | 1901 | 845 |
| Total | - | - | 24722 |
For each of the following statements about the composers listed in the table, select Yes if the statement accurately reflects the information in the table. Otherwise, select No.
To solve this table analysis problem, I need to examine each statement systematically:
Statement 1: Check if composers who died in the \(1700\text{s}\) account for more than \(20\%\) of total performances (\(24,722\)). Sort by death year, identify composers who died \(1700-1799\), sum their performances, and compare to \(20\%\) threshold.
Statement 2: Count composers born \(\leq 1800\) and died \(\geq 1900\) with fewer than \(1,000\) performances. Sort by performance count ascending, then check birth/death year criteria for those under \(1,000\) performances.
Statement 3: Compare performance counts between earliest-dying and latest-dying composers. Sort by death year to identify these composers, then check if earliest has more than twice the performances of the latest.
Using strategic sorting and approximation calculations rather than exact arithmetic makes this analysis efficient and accurate.
Performances of works by composers who died in the \(1700\mathrm{s}\) accounted for more than \(\frac{1}{5}\) of the total number of performances.
Exactly \(7\) of the composers who lived both in the \(1800\mathrm{s}\) and the \(1900\mathrm{s}\) had their works performed fewer than \(1{,}000\) times.
The works of the composer who died least recently were performed more than twice as often as the works of the composer who died most recently.