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In a certain alphabet, 12 letters contain a dot and a

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by AAPL » Fri May 24, 2019 3:33 am
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Economist GMAT

In a certain alphabet, 12 letters contain a dot and a straight line. 24 letters contain a straight line but do not contain a dot. If that alphabet has 40 letters, all of which contain either a dot or a straight line or both, how many letters contain a dot but do not contain a straight line?

A. 4
B. 8
C. 14
D. 20
E. 28

OA A
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by Ian Stewart » Fri May 24, 2019 6:15 am
Strange question - the question tells us about 36 of the letters, and there are 40 letters in total. So there are 4 letters left, and they must be in the "dot and no line" category.
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by Scott@TargetTestPrep » Wed May 29, 2019 5:54 pm
AAPL wrote:Economist GMAT

In a certain alphabet, 12 letters contain a dot and a straight line. 24 letters contain a straight line but do not contain a dot. If that alphabet has 40 letters, all of which contain either a dot or a straight line or both, how many letters contain a dot but do not contain a straight line?

A. 4
B. 8
C. 14
D. 20
E. 28

OA A
We can use the equation:

Total = Dot only + Line only + Both + Neither

40 = D + 24 + 12 + 0

40 = D + 36

4 = D

Answer: A

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