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StepMaths Mock Paper 2 · Q8

Paper 2Logic & proofNumber & counting

3 consecutive positive integers are chosen randomly. Which of the following statements must be true?

  • 1. 1 of them is divisible by 3
  • 2. At least 1 of them is divisible by 3
  • 3. The product of the 3 numbers is divisible by 6
  • 4. The sum of the 3 consecutive numbers is divisible by 3
  • 5. The sum of the 3 consecutive numbers is odd
A1,3,41,3,4
B1,2,3,4,51,2,3,4,5
C2,3,42,3,4
D1,2,3,41,2,3,4
E2,3,4,52,3,4,5

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