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If n is an integer, which of the following cannot be odd?

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If n is an integer, which of the following cannot be odd?  [#permalink]

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New post 11 Aug 2019, 04:23
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If \(n\) is an integer, which of the following cannot be odd?

A. \(n+2\)

B. \(n+3\)

C. \(2n\)

D. \(3n\)

E. \(n^2\)

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Re: If n is an integer, which of the following cannot be odd?  [#permalink]

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New post 11 Aug 2019, 06:02
Each number, either odd or even multiples by 2, is even.
So option C cannot be odd

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Re: If n is an integer, which of the following cannot be odd?  [#permalink]

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New post 11 Aug 2019, 10:44
SajjadAhmad wrote:
If \(n\) is an integer, which of the following cannot be odd?

A. \(n+2\)

B. \(n+3\)

C. \(2n\)

D. \(3n\)

E. \(n^2\)


2*Odd Number = Even Number
2*Even Number = Even Number...

Thus, Answer must be (C) 2n
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Re: If n is an integer, which of the following cannot be odd?  [#permalink]

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New post 04 Oct 2019, 00:43
SajjadAhmad wrote:
If \(n\) is an integer, which of the following cannot be odd?

A. \(n+2\)

B. \(n+3\)

C. \(2n\)

D. \(3n\)

E. \(n^2\)


Official Explanation



The mathematical definition of even and odd is that even numbers are divisible by 2, while odd numbers are not divisible by 2. Therefore, we can see that answer choice (C) cannot be odd. Dividing 2n by 2 will yield n, and we know n is an integer. Therefore, 2n cannot be odd.

An alternate way to solve this question is to analyze by cases. When looking at a specific answer choice, if you can pick a legal value of n so that it is odd, then it can be odd, and you know that it's not the correct answer to the question. In this fashion, you can eliminate all the answer choices other than (C).

The correct answer is (C).
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Re: If n is an integer, which of the following cannot be odd?  [#permalink]

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New post 04 Oct 2019, 00:44
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Re: If n is an integer, which of the following cannot be odd?   [#permalink] 04 Oct 2019, 00:44

If n is an integer, which of the following cannot be odd?

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