Which of the following CANNOT be a value of 6/(x–6)? : GMAT Problem Solving (PS)
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# Which of the following CANNOT be a value of 6/(x–6)?

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Which of the following CANNOT be a value of 6/(x–6)? [#permalink]

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15 Feb 2013, 11:19
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Which of the following CANNOT be a value of 6/(x–6)?

A. -1
B. -1/2
C. 0
D. 2
E. 6
[Reveal] Spoiler: OA

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Re: Which of the following CANNOT be a value of 6(x–6) ? -1 [#permalink]

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15 Feb 2013, 11:36
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0 because the only way to get a fraction equal to 0 is to have the numerator equal 0.
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Re: Which of the following CANNOT be a value of 6/(x–6)? [#permalink]

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19 Feb 2013, 18:37
I got it now. Answer is zero
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Re: Which of the following CANNOT be a value of 6/(x–6)? [#permalink]

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06 Aug 2014, 19:51
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Re: Which of the following CANNOT be a value of 6/(x–6)? [#permalink]

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06 Aug 2014, 20:49
Because, if we plug in 6 then 6/(6-6)= 6/0= undefined.
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Which of the following CANNOT be a value of 6/(x–6)? [#permalink]

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06 Aug 2014, 21:24
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ritigl wrote:
Because, if we plug in 6 then 6/(6-6)= 6/0= undefined.

The question doesn't ask for the value of X here, but for the possible results of the equation.

If 6/(x-6) = 0, then the numerator has to be 0 (just as you said, denominator can't be 0.) But since the numerator is 6, C can't be possible.

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Re: Which of the following CANNOT be a value of 6/(x–6)? [#permalink]

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06 Aug 2014, 23:13
unceldolan wrote:
ritigl wrote:
Because, if we plug in 6 then 6/(6-6)= 6/0= undefined.

The question doesn't ask for the value of X here, but for the possible results of the equation.

If 6/(x-6) = 0, then the numerator has to be 0 (just as you said, denominator can't be 0.) But since the numerator is 6, C can't be possible.

Oh got it.
Thank You!
Re: Which of the following CANNOT be a value of 6/(x–6)?   [#permalink] 06 Aug 2014, 23:13
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