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A total of 480 students completed their M.Tech. from a college in 2018. The table below shows the career choices opted by them after their M.Tech., along with the ratio of male to female students in each category. Career choice | Total number of students | Male : Female Industry job | 264 | 7:4 Teaching job | 96 | 3:5 PhD program | 36 | 2:1 Preparing for government job | 60 | 3:2 Not decided | 24 | 3:1 What is the ratio of the total number of male students to female students who passed from the college?
- 33:47
- 47:33
- 43:37
- 57:23
Correct answer: 47:33
Solution
For each career choice, split the total according to the given male:female ratio and add all males and all females. The totals come to 282 males and 198 females, so the overall ratio is $282:198 = 47:33$.
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