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Difference between revisions of "1986 AJHSME Problems/Problem 17"

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==Problem==
  
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Let <math>\text{o}</math> be an odd whole number and let <math>\text{n}</math> be any whole number.  Which of the following statements about the whole number <math>(\text{o}^2+\text{no})</math> is always true?
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<math>\text{(A)}\ \text{it is always odd} \qquad \text{(B)}\ \text{it is always even}</math>
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<math>\text{(C)}\ \text{it is even only if n is even} \qquad \text{(D)}\ \text{it is odd only if n is odd}</math>
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<math>\text{(E)}\ \text{it is odd only if n is even}</math>
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==Solution==
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{{Solution}}
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==See Also==
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[[1986 AJHSME Problems]]

Revision as of 19:47, 20 January 2009

Problem

Let $\text{o}$ be an odd whole number and let $\text{n}$ be any whole number. Which of the following statements about the whole number $(\text{o}^2+\text{no})$ is always true?

$\text{(A)}\ \text{it is always odd} \qquad \text{(B)}\ \text{it is always even}$

$\text{(C)}\ \text{it is even only if n is even} \qquad \text{(D)}\ \text{it is odd only if n is odd}$

$\text{(E)}\ \text{it is odd only if n is even}$

Solution

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See Also

1986 AJHSME Problems

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