Multiple choice general knowledge math & puzzles

If the sum of ‘3’ consecutive integers is odd, Then the first and last integers must be…….

  1. odd , even

  2. odd , odd

  3. even , odd

  4. even , even

  5. None of the above
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D Correct answer
Explanation

Let the integers be n, n+1, n+2. Their sum is 3n+3. For 3(n+1) to be odd, n+1 must be odd, meaning n must be even. If n is even, then n+2 is also even. Thus, the first and last integers must both be even.

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