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Mathematics>Standard Multiple Choice

Read the following SAT test question and then click on a button to select your answer.

If p is an odd integer, which of the following is an even integer?

(A) p-2
(B) p^2
(C) (p^2)-2
(D) (p-2)^2
(E) (p^2)-p

答案和解析

答案：E

解析：

If p is an odd integer, then p-2 and p^2 are odd integers. Similarly, choices (C) and (D) are odd integers. Since an odd integer subtracted from another odd integer is always an even integer, p^2-p is even.