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# If x is an odd integer and y and z are even integers, which of the

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Math Expert
Joined: 02 Sep 2009
Posts: 52344
If x is an odd integer and y and z are even integers, which of the  [#permalink]

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01 Nov 2016, 05:08
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92% (01:03) correct 8% (00:52) wrong based on 92 sessions

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If x is an odd integer and y and z are even integers, which of the following CANNOT be an integer?

A. y/z
B. x/y
C. z/x
D. yx/z
E. zx/y

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Re: If x is an odd integer and y and z are even integers, which of the  [#permalink]

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01 Nov 2016, 05:10
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B and C since odd by even is not an integer

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Re: If x is an odd integer and y and z are even integers, which of the  [#permalink]

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01 Nov 2016, 05:16
1
Bunuel wrote:
If x is an odd integer and y and z are even integers, which of the following CANNOT be an integer?

A. y/z
B. x/y
C. x/z
D. yx/z
E. zx/y

x = Odd
y = Even
z = Even

Checking Options:

A. y/z Even/Even may be an Integer e.g. 4/2=2 Hence Incorrect Option
B. x/y Odd/Even CAN NEVER be an Integer Hence Correct Option
C. x/z Odd/Even CAN NEVER be an Integer Hence Correct Option
D. yx/z
E. zx/y

Bunuel Please check if there are two options that may be correct answer here.

Answer: Option B or C
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Re: If x is an odd integer and y and z are even integers, which of the  [#permalink]

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01 Nov 2016, 06:14
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GMATinsight wrote:

Bunuel Please check if there are two options that may be correct answer here.

Answer: Option B or C

IMHO with the same opinion...
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Joined: 02 Sep 2009
Posts: 52344
Re: If x is an odd integer and y and z are even integers, which of the  [#permalink]

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01 Nov 2016, 06:34
Bunuel wrote:
If x is an odd integer and y and z are even integers, which of the following CANNOT be an integer?

A. y/z
B. x/y
C. z/x
D. yx/z
E. zx/y

C is z/x. Edited. Thank you all.
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Re: If x is an odd integer and y and z are even integers, which of the  [#permalink]

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02 Nov 2016, 05:03
Bunuel wrote:
If x is an odd integer and y and z are even integers, which of the following CANNOT be an integer?

A. y/z
B. x/y
C. z/x
D. yx/z
E. zx/y

IMO B
odd/even is always a fraction.
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Re: If x is an odd integer and y and z are even integers, which of the  [#permalink]

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19 Jan 2017, 11:02
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Re: If x is an odd integer and y and z are even integers, which of the  [#permalink]

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19 Jan 2017, 14:03
odd = 3,5,7
Even =2,4,6
Check options cannot be an integer
A Even/Even NO
B 3/6 = 1/2 Yes
C 6/3 NO
D 2x3/2 NO
E 2x3 /3 NO

B
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Re: If x is an odd integer and y and z are even integers, which of the  [#permalink]

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17 Apr 2017, 03:10
Option B

Odd: O, Even: E & Fraction: F
x = O, y = E & z = E

A. y/z = E/E = E or O or F
B. x/y = O/E = F
C. z/x = E/O = E or F
D. yx/z = (E*O)/E = E or O or F
E. zx/y = (E*O)/E = E or O or F
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Re: If x is an odd integer and y and z are even integers, which of the  [#permalink]

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20 Apr 2017, 15:50
1
Bunuel wrote:
If x is an odd integer and y and z are even integers, which of the following CANNOT be an integer?

A. y/z
B. x/y
C. z/x
D. yx/z
E. zx/y

Since an odd/even WILL NOT equal an integer, let’s look for the answer choice that gives us odd/even.

Since x is odd and y is even, we see that x/y CANNOT equal an integer.

Answer: B
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Re: If x is an odd integer and y and z are even integers, which of the &nbs [#permalink] 20 Apr 2017, 15:50
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# If x is an odd integer and y and z are even integers, which of the

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