The table shows the number of employees in five colleges A to E, with the ratio of Males to Females (M:F) among them.
| College | Employees | M:F Ratio |
|---|---|---|
| A | 3040 | 13:6 |
| B | 3360 | 4:3 |
| C | 2920 | 9:11 |
| D | 2760 | 10:13 |
| E | 2840 | 13:7 |
What is the average number of female employees taking all the colleges together?
A1312 ✓ Correct
B1372
C1336
D1292
Correct answer: (A) 1312
Explanation
The average number of female employees across the five colleges is 1312.
Female count uses the female part of each M:F ratio applied to the college total.
College A: 3040 times 6/19 gives 960 female employees.
College B: 3360 times 3/7 gives 1440 female employees.
College C: 2920 times 11/20 gives 1606 female employees.
College D: 2760 times 13/23 gives 1560 female employees.
College E: 2840 times 7/20 gives 994 female employees.
The sum 6560 divided by 5 colleges gives the average 1312.
Want more like this? Create a free account to practise a full test, track your progress, and get spaced-repetition review.
Practise on Mcqkart →🎓 Book an expert →