Divisible by neither 2 nor 3

How many integers from 1 to 1000 (inclusive) are divisible by neither 2 nor 3?

Show hints (2)+
  1. First count multiples of 2 or 3 via inclusion–exclusion (subtract multiples of 6).
  2. Then complement: 10001000 minus that count.

Answer

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333

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Asked at: Timed Mental-Math & Sequences, Game-Based Aptitude

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