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

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Math Expert
Joined: 02 Sep 2009
Posts: 56307
All geologists must pass a written test and a field test to become lic  [#permalink]

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18 Jul 2018, 03:43
00:00

Difficulty:

35% (medium)

Question Stats:

72% (01:32) correct 28% (01:13) wrong based on 45 sessions

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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.

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

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18 Jul 2018, 04:01
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?

Total = P(W) + P(F) - P(WnF) + Neither(N)
Total = 100

(1) 10% did not pass either test.
Total = P(W) + P(F) - P(WnF) + Neither(N)
100 = 70 + 90 - P(WnF) + 10
Sufficient

(2) 20% passed only the field test.
P(F) - P(WnF) = 20.
90 - P(WnF) =20
Sufficient

Hence, D.
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Re: All geologists must pass a written test and a field test to become lic   [#permalink] 18 Jul 2018, 04:01
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