Percentage distribution of students in six classes A–F and boys:girls ratio. Total students = 600.
| Class | Students (%) | Boys:Girls |
|---|---|---|
| A | 20% | 3:2 |
| B | 12% | 3:1 |
| C | 16% | 5:3 |
| D | 15% | 8:7 |
| E | 21% | 4:3 |
| F | 16% | 1:1 |
Among the given classes, which two classes have an equal number of boys in them?
AA and C
BC and F
CD and F ✓ Correct
DE and F
Correct answer: (C) D and F
Explanation
The answer is Classes D and F.
The number of boys is the class strength times the boys' fraction of the ratio.
Class A has 72, Class C has 60 and Class E has 72 boys.
Class D has 48 boys and Class F also has 48 boys.
So Classes D and F have an equal number of boys, 48 each.
The other pairs do not match in the number of boys.
So the answer is Classes D and F.
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