Table shows the number of students who appeared in a CET from six schools A to F in 2020 to 2022, with the passed:failed (P:F) ratio.
| School | 2020 Appeared | 2020 P:F | 2021 Appeared | 2021 P:F | 2022 Appeared | 2022 P:F |
|---|---|---|---|---|---|---|
| A | 1292 | 11:8 | 1508 | 7:6 | 1344 | 3:5 |
| B | 1694 | 4:7 | 1690 | 8:5 | 1904 | 9:8 |
| C | 1620 | 8:7 | 1584 | 7:4 | 1274 | 4:3 |
| D | 1752 | 7:5 | 1656 | 11:7 | 1976 | 7:12 |
| E | 1740 | 3:2 | 1452 | 7:4 | 1430 | 8:5 |
| F | 1972 | 17:12 | 1734 | 12:5 | 1848 | 8:13 |
What is the average number of students who failed the test from School C in all three years together?
A622
B624
C626 ✓ Correct
D628
Correct answer: (C) 626
Explanation
The average number failed from School C is 626, so the answer is 626.
In 2020 School C had 1620 in the ratio 8 to 7, so 7 parts of 15 failed, which is 756.
In 2021 it had 1584 in the ratio 7 to 4, so 4 parts of 11 failed, which is 576.
In 2022 it had 1274 in the ratio 4 to 3, so 3 parts of 7 failed, which is 546.
The three failed counts add up to 1878.
The average is 1878 divided by 3, which is 626.
So the answer is 626.
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