Multiple choice

If n is an integer, which of the following options is an even integer?

  1. n – 2

  2. n2

  3. n3 – n

  4. (n – 3)2

  5. n + 2
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Choices 1, 2, 4 and 5 can be even or odd depending on the value chosen for n. Now, n3 - n = n(n2 -1) = n(n +1)(n - 1) = (n - 1)(n)(n + 1). This is the product of 3 consecutive integers at least one of which will be even. Hence, the product will always be even. Hence, choice (3) wil always be even.

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