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If 75 percent of a class answered the first question on a ce

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If 75 percent of a class answered the first question on a ce [#permalink] New post 26 Dec 2012, 06:46
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Difficulty:

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Question Stats:

82% (01:53) correct 17% (01:29) wrong based on 153 sessions
If 75 percent of a class answered the first question on a certain test correctly, 55 percent answered the second question on the test correctly, and 20 percent answered neither of the questions correctly, what percent answered both correctly?

(A) 10%
(8) 20%
(C) 30%
(D) 50%
(E) 65%
[Reveal] Spoiler: OA
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Re: If 75 percent of a class answered the first question on a ce [#permalink] New post 26 Dec 2012, 06:48
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Expert's post
Walkabout wrote:
If 75 percent of a class answered the first question on a certain test correctly, 55 percent answered the second question on the test correctly, and 20 percent answered neither of the questions correctly, what percent answered both correctly?

(A) 10%
(8) 20%
(C) 30%
(D) 50%
(E) 65%


{Total} = {First} + {Second} - {Both} + {Neither}

100% = 75% + 55% - {Both} + 20% --> {Both} = 50%.

Answer: D.
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Re: If 75 percent of a class answered the first question on a ce [#permalink] New post 18 Aug 2013, 04:25
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Attached Venn Diagram:

75-X+X+55-X+20=Total=100

X=50%

Hence the OA
Attachments

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Re: If 75 percent of a class answered the first question on a ce   [#permalink] 18 Aug 2013, 04:25
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