olymmath

AMC 8 1986 Problem 17

  • Paper

Let o\text{o} be an odd whole number and let n\text{n} be any whole number. Which of the following statements about the whole number (o2+no)(\text{o}^2+\text{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} (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} (E) it is odd only if n is even\text{(E)}\ \text{it is odd only if n is even}

Dataset text NuminaMath-1.5. Quoted with source.

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E

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