Dr. Divisible

Given that \(N\) is a positive integer. If

  • \(N+1\) is divisible by 2,
  • \(N+2\) is divisible by 3,
  • \(N+3\) is divisible by 5, and
  • \(N+4\) is divisible by 7.

Is \(N+18\) divisible by 35?

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