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Math Expert V
Joined: 02 Sep 2009
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All of the students who took a certain test answered the two first que  [#permalink]

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Difficulty:   55% (hard)

Question Stats: 66% (02:05) correct 34% (02:31) wrong based on 64 sessions

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All of the students who took a certain test answered the two first questions on the test. If 60% of the students answered the first question on the test correctly, and 40% of the students answered the second question on the test correctly, then what percent of the students answered neither of the two questions correctly?

(1) 20% of the students answered both the first and the second questions on the test correctly.

(2) Two thirds of the students who did not answer the second question on the test correctly answered the first question on the test correctly.

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GMAT 1: 630 Q47 V29 GMAT 2: 740 Q51 V38 Re: All of the students who took a certain test answered the two first que  [#permalink]

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Bunuel wrote:
All of the students who took a certain test answered the two first questions on the test. If 60% of the students answered the first question on the test correctly, and 40% of the students answered the second question on the test correctly, then what percent of the students answered neither of the two questions correctly?

(1) 20% of the students answered both the first and the second questions on the test correctly.

(2) Two thirds of the students who did not answer the second question on the test correctly answered the first question on the test correctly.

First Correct = FC = 60%
SC = 40%

(1) FCSC = 20%
Only FC + Only SC + FCSC + FWSW = 100%
(60-20)% + (40-20)% + 20% + FWSW = 100%
FWSW = 20%

Sufficient

(2) SW = 60%
SWFC = 2/3 * 60% = 40%
and since FC = 60%
FCSC = 20%
and from here we can calculate FWSW
Sufficient

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Luckisnoexcuse Re: All of the students who took a certain test answered the two first que   [#permalink] 01 Aug 2017, 21:21
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