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12 Dec 2014, 07:30
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
73% (01:39) correct
27%
(01:52)
wrong
based on 1973
sessions
History
Date
Time
Result
Not Attempted Yet
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.
DS27602.01
(A) Statement 1 alone is sufficient, but statement 2 alone is not.
(B) Statement 2 alone is sufficient, but statement 1 alone is not.
(C) Both statements together are sufficient, but neither alone is sufficient.
(D) Each statement alone is sufficient.
(E) Neither statement is sufficient, even when combined.
(1) 10 percent of the trainees did not pass either test.
(2) 20 percent of the trainees passed only the flight test.
DS27602.01
(A) Statement 1 alone is sufficient, but statement 2 alone is not.
(B) Statement 2 alone is sufficient, but statement 1 alone is not.
(C) Both statements together are sufficient, but neither alone is sufficient.
(D) Each statement alone is sufficient.
(E) Neither statement is sufficient, even when combined.
12 Dec 2014, 09:35
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Let the number of employees be 100
- 70 percent of the trainees passed the written test
- 80 percent of the trainees passed the flight test
Let x be the number of employees passed both tests
Statement 1 : 10 percent of the trainees did not pass either test.
100 = 70 + 80 - x +10
x= 60. Sufficient
Statement 2 : 20 percent of the trainees passed only the flight test.
Therefore, trainees passed both flight and written tests = 80 - 20 = 60. Sufficient
Hence D) should be the answer
- 70 percent of the trainees passed the written test
- 80 percent of the trainees passed the flight test
Let x be the number of employees passed both tests
Statement 1 : 10 percent of the trainees did not pass either test.
100 = 70 + 80 - x +10
x= 60. Sufficient
Statement 2 : 20 percent of the trainees passed only the flight test.
Therefore, trainees passed both flight and written tests = 80 - 20 = 60. Sufficient
Hence D) should be the answer
General Discussion
22 Jul 2020, 10:59
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Bunuel
let
w=percentage of trainees who passed the written test
f=percentage of trainees who passed the flight test
b=percentage of trainees who passed both the tests
n=percentage of trainees who passed neither of the tests
now w=70, f=80.
100 = w+f-b+n
1) n=10,
then 100 =70+80-b+10
1) is Sufficient
2) percentage who passed only flight test = f-b
f-b=20
f=80
b=60
2) is also sufficient
Hence answer is D.
