For six schools A–F (2019–2022): boys percentage among Board exam candidates and the boys−girls difference. Only the stated entries are given.
| School | Year | Boys (%) | Boys − Girls Difference |
|---|---|---|---|
| E | 2019 | 75% | 280 |
| E | 2020 | 60% | 136 |
| E | 2021 | 70% | 264 |
| E | 2022 | 66% | 224 |
| C | 2019 | 44% | 60 |
| C | 2020 | 55% | 24 |
| A | 2020 | 60% | 70 |
| B | 2020 | 48% | 18 |
| B | 2022 | 60% | 90 |
| D | 2020 | 57% | 84 |
| F | 2019 | 44% | 90 |
| F | 2020 | 56% | 96 |
Considering all four years together, what is the average number of boys who appeared from school E?
A424
B434
C438 ✓ Correct
D454
Correct answer: (C) 438
Explanation
The average number of boys from school E is 438.
In each year, boys minus girls percent of the total equals the given difference.
In 2019 the difference 280 is 50 percent of the total, so boys at 75 percent are 420.
In 2020 the difference 136 is 20 percent, so boys at 60 percent are 408.
In 2021 boys are 462 and in 2022 boys are 462.
The average of 420, 408, 462 and 462 is 438.
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