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

Find the ratio of the number of male to female students in College D.

A149:51 ✓ Correct

B51:149

C3:1

D1:3

Correct answer: (A) 149:51

Explanation

The answer is 149 to 51.

Take the total in D as 100, so 45 pass and 55 fail.

Among the passed, males are 4 of 5, giving 36, and among the failed, males are 7 of 10, giving 38.5.

So the total males are 36 plus 38.5, which is 74.5.

The females are 9 plus 16.5, which is 25.5, so the ratio is 74.5 to 25.5.

That simplifies to 149 to 51.

So the answer is 149 to 51.

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