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# In an examination 55% of the candidates passed Swahili and

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Senior Manager
Joined: 30 Aug 2003
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In an examination 55% of the candidates passed Swahili and [#permalink]  10 Jan 2004, 16:27
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 exams?

a. 82
b. 50
c. 26
d. 48
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Pls include reasoning along with all answer posts.
****GMAT Loco****
Este examen me conduce jodiendo loco

Director
Joined: 28 Oct 2003
Posts: 503
Location: 55405
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Kudos [?]: 11 [0], given: 0

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
Director
Joined: 28 Oct 2003
Posts: 503
Location: 55405
Followers: 1

Kudos [?]: 11 [0], given: 0

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...
Intern
Joined: 01 Dec 2003
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Location: infront of my LCD
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X = Total # candidates

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

x=50
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