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 average of the number of females qualified from all six cities together in 2021 is
A320
B360
C400 ✓ Correct
D440
Correct answer: (C) 400
Explanation
The average number of females is 400, so the answer is 400.
In 2021 the female counts are found city by city from the percentages and ratios.
City A gives 644, City B gives 330 and City C gives 368 females.
City D gives 414, City E gives 276 and City F gives 368 females.
Their total is 644 plus 330 plus 368 plus 414 plus 276 plus 368, which is 2400.
The average over six cities is 2400 divided by 6.
That equals 400.
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