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Bunuel
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In the multiple of 3 part, the series will be

3, 6, 9, 12,..., 603


Zhiyun
Total number of multiples of 2 or 3 = (multiples of 2)+(multiples of 3)-(common multiples of 2&3)
2,4,6,8......,602
Multiples of 2= ((602-2)/2)+1= 301
2,6,9,12,......,603
Multiples of 3= ((603-3)/3)+1=201
6,12,18,24,......600
Multiples of 6= ((600-6)/6)+1=100

Total= 301+201-100=402

Answer: B
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Alternatively, you can count the multiples of 2 and 3 directly rather than thinking of them as overlapping sets.

All even numbers are multiples of 2, so there's 301 multiples right there.

Of the remaining odd numbers, how many are multiples of 3? Consider 3,5,7,9,11,13,15 ... Pattern is every 1 out of 3 odd numbers are multiples of three. So that's 303/3 = 101 multiples.

Total = 301 + 101 = 402 (B)
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