Counting - Vendiagram

SOURCE:COMPETITION
Number of Problems: 2. : (Book)

 

 

1.
2.
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How many numbers between 1 and 2005 are integer multiples of 3 or 4 but not 12?

mathrm{(A)} 501 qquad mathrm{(B)} 668 qquad mathrm{(C)} 835 qquad mathrm{(D)} 1002 qquad mathrm{(E)} 1169

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