Paper 1 · Data Interpretation
UGC NET June 2023 (21.06.2023) Shift-II
Passage
The following table shows the percentage distribution of candidates qualifying a Common Entrance Test (CET) in six cities A to F during 2020 and 2021, along with the ratio of males (M) to females (F) among the qualified candidates. The total number of qualified candidates across all six cities was 3800 in 2020 and 4600 in 2021. In 2020 the distribution percentage and M:F ratio were: A 13 percent and 8:5, B 27 percent and 11:8, C 11 percent and 7:4, D 20 percent and 2:3, E 8 percent and 5:3, F 21 percent and 13:8. In 2021 they were: A 24 percent and 5:7, B 15 percent and 12:11, C 23 percent and 15:8, D 17 percent and 8:9, E 8 percent and 1:3, F 13 percent and 5:8. Based on the data, answer the questions that follow.
The ratio of the number of females qualified from City D in 2020 to that of City E in 2021 is
A23:13
B31:27
C35:23
D38:23 ✓ Correct
Correct answer: (D) 38:23 — The ratio is 38 to 23, so the answer is 38 to 23.
Explanation
★The ratio is 38 to 23, so the answer is 38 to 23.
★In 2020 City D has 20 percent of 3800, which is 760 qualified candidates, in the ratio 2 to 3.
★So the females are 3 of 5 parts of 760, which is 456.
★In 2021 City E has 8 percent of 4600, which is 368 qualified candidates, in the ratio 1 to 3.
★So the females are 3 of 4 parts of 368, which is 276.
★The ratio of the two is 456 to 276.
★Dividing both by 12 gives 38 to 23.
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