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
Source: Official Guide
Table Analysis
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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.
A
Yes
No
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.
B
Yes
No
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.
C
Yes
No
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.
Solution
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.
Answer Choices Explained
A
Yes
No
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.
B
Yes
No
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.
C
Yes
No
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.
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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 : Table Analysis (TA)