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At the university entrance exam, a candidate is admitted according to whether he has passed or failed the test. Of the candidates who are really capable, 80 % pass the test and of the incapable, 30 % pass the test. Given that 40 % of the candidates are really capable, then the proportion of the really capable students who can pass the test to the total students who can pass is about ?
11/24
1/5
16/25
6/5
If there are total 100 candidates, 40 candidates are really capable and 60 candidates are incapable. Of the candidates who are really capable = 80% 40*(80/100)=32 pass the test and of the incapable= 30% 60*(30/100)=18 pass the test. Total candidates who passed the test = 32+18 = 50 The proportion of the really capable students who can pass the test to the total students who can pass = 32/50 = 16/25.
Hence, option 3 is the correct answer.
By: Amit Kumar ProfileResourcesReport error
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