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Help me understand this one pls...

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Manager
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Help me understand this one pls... [#permalink] New post 17 Apr 2010, 01:42
00:00

Question Stats:

100% (01:27) correct 0% (00:00) wrong based on 0 sessions
If 75% of a class answered the 1st question on a certain test correctly, 55% answered the 2nd question on the test correctly and 20% answered neither of the questions correctly, what percent answered both correctly?
10%
20%
30%
50%
65%
Manager
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Re: Help me understand this one pls... [#permalink] New post 17 Apr 2010, 06:38
utin wrote:
If 75% of a class answered the 1st question on a certain test correctly, 55% answered the 2nd question on the test correctly and 20% answered neither of the questions correctly, what percent answered both correctly?
10%
20%
30%
50%
65%


from the question stem: 20% answered neither of the two => 80% answered both the questions.
so, we have
Q1or Q2 = Q1+Q2- Q1&Q2 => Q1&Q2 = Q1+Q2-Q1orQ2
=> Q1&Q2 = 75+55-80 = 50%

50% answered both correclt
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Re: Help me understand this one pls... [#permalink] New post 17 Apr 2010, 06:47
Formula:
Total = A + B + None - Both

So,

100 = 75 + 55 + 20 - Both
Both = 50%

Thanks
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Re: Help me understand this one pls... [#permalink] New post 25 Apr 2010, 09:55
50% hope its already explained
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Re: Help me understand this one pls... [#permalink] New post 25 Apr 2010, 10:01
yes ... fairly easy.
Re: Help me understand this one pls...   [#permalink] 25 Apr 2010, 10:01
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