If *k* is a positive even integer, then (*k* + 1)(*k* + 2) could equal which of the following?

(A) 10

(B) 20

(C) 30

(D) 40

(E) 50

Level of difficulty 1 2

The set of positive even integers is {2, 4, 6, ...}. Starting with 2, we get (3)(4) = 12 as an answer which does not match any of the choices. Trying 4, we get (5)(6) = 30, or choice C.

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