Home Competitions AMC 8 1986 Problem 17
Let o \text{o} o be an odd whole number and let n \text{n} n be any whole number. Which of the following statements about the whole number ( o 2 + no ) (\text{o}^2+\text{no}) ( o 2 + no ) is always true?
(A) it is always odd(B) it is always even \text{(A)}\ \text{it is always odd} \text{(B)}\ \text{it is always even} (A) it is always odd (B) it is always even
(C) it is even only if n is even(D) it is odd only if n is odd \text{(C)}\ \text{it is even only if n is even} \text{(D)}\ \text{it is odd only if n is odd} (C) it is even only if n is even (D) it is odd only if n is odd
(E) it is odd only if n is even \text{(E)}\ \text{it is odd only if n is even} (E) it is odd only if n is even
Dataset text NuminaMath-1.5 . Quoted with source.
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