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All geologists must pass a written test and a field test to become lic

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All geologists must pass a written test and a field test to become lic  [#permalink]

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New post 15 Oct 2019, 02:40
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A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

61% (01:33) correct 39% (01:52) wrong based on 23 sessions

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All geologists must pass a written test and a field test to become lic  [#permalink]

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New post 15 Oct 2019, 03:39
Bunuel wrote:
All geologists must pass a written test and a field test to become licensed. If 70% of geologists pass the written test and 90% of geologists pass the fieldtest, what percent pass both tests?

(1) 10% did not pass either test.

(2) 20% passed only the field test.



Assume that there are 100 geologists applying for a license. As per the question stem,
70 pass the written test and 90 pass the field test. We don't know how many people
pass both the tests.

1. 10% did not pass either test -> Neither = 10

Total = P(W) + P(F) - Both + Neither -> 100 = 70 + 90 - Both + 10 -> Both = 70 (Sufficient)

2. 20% passed only the field test -> P(Only F) = 20

We know that P(F) = P(Only F) + Both -> Both = P(F) - P(Only F) = 90 - 20 = 70 (Sufficient - Option D)
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Re: All geologists must pass a written test and a field test to become lic  [#permalink]

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New post 15 Oct 2019, 03:57
Bunuel wrote:
All geologists must pass a written test and a field test to become licensed. If 70% of geologists pass the written test and 90% of geologists pass the fieldtest, what percent pass both tests?

Let the pass percent of both = X
Image

(1) 10% did not pass either test.
Image
--> Sufficient

(2) 20% passed only the field test.

Image
--> Sufficient

IMO Option D
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Re: All geologists must pass a written test and a field test to become lic  [#permalink]

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New post 15 Oct 2019, 04:20
Bunuel wrote:
All geologists must pass a written test and a field test to become licensed. If 70% of geologists pass the written test and 90% of geologists pass the field test, what percent pass both tests?

(1) 10% did not pass either test.

(2) 20% passed only the field test.


Let, the number of geologists= 100
So, the number geologists who pass the written test=70, and
The number of geologists who pass field test=90

Let, the number of geologist that pass both the tests= x
So, the number geologists who only pass the written test=70-x, and
The number of geologists who only pass field test=90-x

Let, number of geologists who do not pass either test=n

Thus, total number of geologists=70-x+x+90-x+n=100
So, if we can find either n or x, we can find the remaining details.

(1) n=10
Thus, sufficient.

(2) This statement says that 90-x=20
=> x=70
Thus, sufficient.

Therefore, the correct answer is option D.
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Re: All geologists must pass a written test and a field test to become lic   [#permalink] 15 Oct 2019, 04:20
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