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# If x and y are odd integers, which of the following must always be a

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If x and y are odd integers, which of the following must always be a  [#permalink]

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19 Aug 2016, 03:18
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If x and y are odd integers, which of the following must always be a non-integer?

A. xy
B. x/y
C. y/x
D. xy/2
E. -xy

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Re: If x and y are odd integers, which of the following must always be a  [#permalink]

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19 Aug 2016, 03:31
Ans) D. as X and Y are odd, multiplication of x and y would result in odd integer
(Odd Integer)/2 will always be non integer
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Re: If x and y are odd integers, which of the following must always be a  [#permalink]

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19 Aug 2016, 04:15
D --> Odd x Odd = Odd integer which never divides evenly (not divisible by an even number) hence D is the right answer
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Re: If x and y are odd integers, which of the following must always be a  [#permalink]

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19 Aug 2016, 05:05
Top Contributor
Bunuel wrote:
If x and y are odd integers, which of the following must always be a non-integer?

A. xy
B. x/y
C. y/x
D. xy/2
E. -xy

Another approach:

The key word is MUST.
So, if we can find an example where the expression evaluates to be an integer, we can ELIMINATE that answer choice.

A) xy: (1)(1) = 1 and 1 is an integer. ELIMINATE
B. x/y: 1/1 = 1 and 1 is an integer. ELIMINATE
C. y/x: 1/1 = 1 and 1 is an integer. ELIMINATE
D. xy/2
E. -xy: -(1)(1) = -1 and -1 is an integer. ELIMINATE

By the process of elimination, the correct answer is

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Re: If x and y are odd integers, which of the following must always be a  [#permalink]

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19 Aug 2016, 05:30
Odd*odd = odd

Odd/2 => never an integer!!

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Re: If x and y are odd integers, which of the following must always be a  [#permalink]

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21 Aug 2016, 10:41
D. As Odd divided by 2 will always be a non-integer. You can substitute xy for numbers and try

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Re: If x and y are odd integers, which of the following must always be a  [#permalink]

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23 Nov 2016, 01:16
Here x and y are both odd
hence xy will be odd too
so xy/2 can never be an integer
Hence D
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Re: If x and y are odd integers, which of the following must always be a  [#permalink]

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13 Apr 2017, 02:50
Option D

x,y are Odd integers. Odd: O, Even: E & Fraction: F

A. xy = O*O = O
B. x/y = O/O = O or F
C. y/x = O/O = O or F
D. xy/2 = O*O/2 = O/2 = F
E. -xy = -O*O = -O = O
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Re: If x and y are odd integers, which of the following must always be a  [#permalink]

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18 Nov 2017, 16:58
1
Hi All,

We're told that X and Y are ODD integers. We're asked which of the following will always be a NON-INTEGER. This question can be solved by TESTing VALUES.

IF... X=3 and Y=3

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Re: If x and y are odd integers, which of the following must always be a  [#permalink]

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22 Nov 2017, 13:22
Bunuel wrote:
If x and y are odd integers, which of the following must always be a non-integer?

A. xy
B. x/y
C. y/x
D. xy/2
E. -xy

Since odd x odd = odd and an odd number is never divisible by 2, xy/2 will always be a non-integer.

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Re: If x and y are odd integers, which of the following must always be a  [#permalink]

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20 Feb 2019, 06:44
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Re: If x and y are odd integers, which of the following must always be a   [#permalink] 20 Feb 2019, 06:44
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