For six colleges A–F: pass percentage, and male:female ratio among passed and among failed students.

College	Pass (%)	Passed M:F	Failed M:F
A	40	12:13	12:5
B	55	5:3	11:14
C	70	7:5	5:3
D	45	4:1	7:3
E	50	2:1	1:2
F	37.5	3:2	2:1

If the number of male students who have passed from D and F are equal, then what is the ratio of the number of students in D and F respectively?

A8:5

B3:8

C8:3

D5:8 ✓ Correct

Correct answer: (D) 5:8

Explanation

The answer, matching the official key, is 5 to 8.

Males passed from D are the D total times 0.45 times 4 over 5, which is 0.36 of D.

Males passed from F are the F total times 0.375 times 3 over 5, which is 0.225 of F.

Setting these equal gives 0.36 of D equal to 0.225 of F.

So the ratio of D to F is 0.225 to 0.36, which is 5 to 8.

For example 5 and 8 give equal male passers of 1.8 units each.

So the answer is 5 to 8.

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