Table shows the percentage of candidates qualifying a CET in six cities A to F in 2020 and 2021, with the male:female ratio. Total qualified = 3800 (2020) and 4600 (2021).
| City | 2020 (%) | 2020 M:F | 2021 (%) | 2021 M:F |
|---|---|---|---|---|
| A | 13 | 8:5 | 24 | 5:7 |
| B | 27 | 11:8 | 15 | 12:11 |
| C | 11 | 7:4 | 23 | 15:8 |
| D | 20 | 2:3 | 17 | 8:9 |
| E | 8 | 5:3 | 8 | 1:3 |
| F | 21 | 13:8 | 13 | 5:8 |
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
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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