Let S be the set of all integers that can be written as n2 + 1, where n is a nonzero integer. Which of the following integers is in S ?

(A) 16
(B) 28
(C) 35
(D) 39
(E) 50

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Answer:

Choice E
Level of Difficulty E M H

A little trial and error letting n be different integers leads to the answer fairly quickly. When the integer 7 is squared and that result (49) has 1 added to it, the result is 50, or choice E.

For more practice with sets and set theory, go to Skill Set 28: Sets and Venn Diagrams.

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