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 minus 2
(B) p^2
(C) (p^2) minus 2
(D) (p minus 2)^2
(E) (p^2) minus p
The correct answer is E
Explanation
If p is an odd integer, then p minus 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 minus p is even.