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Last year 4/5 of the applicants for a job on a police force

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Last year 4/5 of the applicants for a job on a police force [#permalink] New post 03 Dec 2009, 07:27
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Last year 4/5 of the applicants for a job on a police force passed the physical xamination. If 3/4 of the applicants who passed the physical examination also passed the written examination, how many of the applicants passed both examinations ?
(1) The number of applicants who did not pass either examination was equal to the number who passed the written examination only.
(2) There was a total of 100 applicants

OA
[Reveal] Spoiler:
b

Last edited by Minotaur on 03 Dec 2009, 07:54, edited 1 time in total.
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Re: two DS interesting questions! [#permalink] New post 03 Dec 2009, 07:30
for the ease of discussion, One Q/Thread please :)
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Re: DS interesting question! [#permalink] New post 03 Dec 2009, 12:39
This is a simple fractions question.
The stem gives you what you need if you knew how many people there were. There are four distinct groups:
1. Passed both exams 2. Passed physical but not written 3. Passed written but not physical 4. Passed neither

Statement one gives the ratio of people between two groups, but no concrete number. Insufficient. There is no known relationship between those who passed neither and the whole.

Statement two tells us what we need, the total # of people. From this we can find all info needed. Suff

Answer is B
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Re: DS interesting question! [#permalink] New post 04 Dec 2009, 13:30
How does b) factor those who failed both written and physical?
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Re: DS interesting question! [#permalink] New post 04 Dec 2009, 13:53
junker wrote:
How does b) factor those who failed both written and physical?


It doesnt need to. The question asks for how many passed both.
4/5 of applicants passed the physical examination-
given 100 applicants, 80 passed, 20 did not
3/4 of those who passed the physical passed the written-
80 passed physical, 3/4 of whom passed written-
60 passed both, the answer to what the stem asked.
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Re: DS interesting question!   [#permalink] 04 Dec 2009, 13:53
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Last year 4/5 of the applicants for a job on a police force

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