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If n is an integer, which of the following must be odd?

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If n is an integer, which of the following must be odd?  [#permalink]

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14 Apr 2019, 07:45
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If n is an integer, which of the following must be odd?

A. n^2
B. n^3
C. n+3
D. n-4
E. 3-2n
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Joined: 02 Aug 2009
Posts: 8004
Re: If n is an integer, which of the following must be odd?  [#permalink]

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14 Apr 2019, 09:05
If n is an integer, which of the following must be odd?

A. n^2....will depend on n.. if n is odd answer will be odd and if n is even, answer will be even.
B. n^3..will depend on n.. if n is odd answer will be odd and if n is even, answer will be even.
C. n+3..will depend on n.. if n is odd answer will be even and if n is even, answer will be odd.
D. n-4..will depend on n.. if n is odd answer will be odd and if n is even, answer will be even.
E. 3-2n....2n will always be even so 3-even =odd-even=odd

E
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Re: If n is an integer, which of the following must be odd?  [#permalink]

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14 Apr 2019, 09:39
mangamma wrote:
If n is an integer, which of the following must be odd?

A. n^2
B. n^3
C. n+3
D. n-4
E. 3-2n

to get odd ;
odd + even = odd
and odd-even = odd
only two such conditions exists
so out of given options we can say 3-2n will be odd always
IMO E
Re: If n is an integer, which of the following must be odd?   [#permalink] 14 Apr 2019, 09:39
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