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 |
What is the difference between the number of male candidates qualified from City B in 2020 and City A in 2021?
A134 ✓ Correct
B144
C168
D182
Correct answer: (A) 134
Explanation
The difference is 134, so the answer is 134.
In 2020 City B has 27 percent of 3800, which is 1026 qualified candidates, in the ratio 11 to 8.
So the males are 11 of 19 parts of 1026, which is 594.
In 2021 City A has 24 percent of 4600, which is 1104 qualified candidates, in the ratio 5 to 7.
So the males are 5 of 12 parts of 1104, which is 460.
The difference is 594 minus 460.
That equals 134.
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