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In an examination 55% of the candidates passed Swahili and

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In an examination 55% of the candidates passed Swahili and [#permalink] New post 10 Jan 2004, 17:27
In an examination 55% of the candidates passed Swahili and 75% in Mandarin while 18% failed in both subjects and 24 passed in both the subjects. How many candidates took these two :yak exams?

a. 82
b. 50
c. 26
d. 48
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 [#permalink] New post 10 Jan 2004, 18:16
In an examination 55% of the candidates passed Swahili and 75% in Mandarin while 18% failed in both subjects

100-18= 82% of students passed one, the other, or both
82-55=27% passed only Mandarin
82-75=7% passed only Swahili
82- (27+7)= 48% passed both

24 passed in both the subjects

That means we can take all the percents and simply divide by 2.

50
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 [#permalink] New post 10 Jan 2004, 18:18
Of course this is impossible, because it would mean that thirteen and a half students passed only Mandarin.

I don't know If the fault is mine or the question's but I have to go away for a while...
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 [#permalink] New post 10 Jan 2004, 18:19
X = Total # candidates

x 55% + x 75% - 24 = X 82%

x=50
  [#permalink] 10 Jan 2004, 18:19
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In an examination 55% of the candidates passed Swahili and

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