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# If n is even, which of the following cannot be odd?

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Math Expert
Joined: 02 Sep 2009
Posts: 64089
If n is even, which of the following cannot be odd?  [#permalink]

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17 May 2016, 02:41
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Difficulty:

5% (low)

Question Stats:

97% (00:38) correct 3% (00:38) wrong based on 53 sessions

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

I n + 3
II 3n
III n^2 - 1

A. I only
B. II only
C. III only
D. I and II only
E. I, II and III

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Intern
Joined: 07 May 2016
Posts: 25
Re: If n is even, which of the following cannot be odd?  [#permalink]

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17 May 2016, 04:58
Bunuel wrote:
If n is even, which of the following cannot be odd?

I n + 3
II 3n
III n^2 - 1

A. I only
B. II only
C. III only
D. I and II only
E. I, II and III

Let take a look at I

n + 3
we have this formula : even + odd = odd
=> n + 3 is odd

III: n^2 - 1

n^2 always be even
so n^2 - 1 is odd

=> only II is always even
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Re: If n is even, which of the following cannot be odd?  [#permalink]

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17 May 2016, 07:52
Bunuel wrote:
If n is even, which of the following cannot be odd?

I n + 3
II 3n
III n^2 - 1

A. I only
B. II only
C. III only
D. I and II only
E. I, II and III

Alternate approach

Plug in some value of n which is even and try

Let n =2

Check the options

I n + 3 => 5
II 3n => 6
III n^2 - 1 => 3

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Abhishek....

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Re: If n is even, which of the following cannot be odd?   [#permalink] 17 May 2016, 07:52