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venn diagram

by naaga » Sat Feb 21, 2009 12:28 am
. All trainees in a certain aviator training program must take both a written test and a flight test. If 70 percent of the trainees passed the written test, and 80 percent of the trainees passed the flight test, what percent of the trainees passed both tests?
(1) 10 percent of the trainees did not pass either test.
(2) 20 percent of the trainees passed only the flight test.


folks I got the answer A but the OA is D, how it satisfies the answer I don't know, help anybody, thanks in advance,
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Re: venn diagram

by Vemuri » Sat Feb 21, 2009 1:12 am
naaga wrote:. All trainees in a certain aviator training program must take both a written test and a flight test. If 70 percent of the trainees passed the written test, and 80 percent of the trainees passed the flight test, what percent of the trainees passed both tests?
(1) 10 percent of the trainees did not pass either test.
(2) 20 percent of the trainees passed only the flight test.


Well, I was not able to use statement 1 to get the answer. So, I will wait for someone to answer that part.

But, statement 2 is sufficient. Using Venn diagram, if 20% passed only flight test, then we know that # of trainees who passed both written & flight tests is = 70%-20% = 50%. Sufficient.
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Re: venn diagram

by x2suresh » Mon Feb 23, 2009 8:16 pm
naaga wrote:. All trainees in a certain aviator training program must take both a written test and a flight test. If 70 percent of the trainees passed the written test, and 80 percent of the trainees passed the flight test, what percent of the trainees passed both tests?
(1) 10 percent of the trainees did not pass either test.
(2) 20 percent of the trainees passed only the flight test.


folks I got the answer A but the OA is D, how it satisfies the answer I don't know, help anybody, thanks in advance,
Assume there are 100 trainees

(1)

100 = Trainess passed any/both tests+ Traines didn't pass either tests
= 70+80 -x +10
x=passed both tests = 60


sufficient

(2)
20 passed only flight test out of 80, so remaining people passed both flightest and written test

People passt both test = 80-20 = 60
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