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by sana.noor » Mon May 13, 2013 3:48 am
Which of the following CANNOT be a value of x when
y = x/(x-1) ?
(A) -2
(B) -1
(C) 0
(D) 1/3
(E) 1

OA is E
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Source: — Problem Solving |

by Atekihcan » Mon May 13, 2013 5:16 am
As the denominator of the expression on the right-hand contains (x - 1), x cannot be equal to 1 as that will make y = 1/0 which is indeterminate.

Answer : E
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by Jim@StratusPrep » Mon May 13, 2013 8:44 am
The denominator can never equal zero!
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by Brent@GMATPrepNow » Mon May 13, 2013 9:33 am
"Fun" follow-up question:

Which of the following CANNOT be a value of y when y = x/(x-1) ?
(identify all correct answers)
(A) -2
(B) -1
(C) 0
(D) 1/3
(E) 1
(F) -1

Cheers,
Brent
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by Atekihcan » Mon May 13, 2013 10:07 am
Brent@GMATPrepNow wrote:Which of the following CANNOT be a value of y when y = x/(x-1) ?
x > (x - 1)

Now, if (x - 1) > 0, i.e. x > 1 ---> x/(x - 1) > 1
And, if (x - 1) < 0, i.e. x < 1 ---> x/(x - 1) < 1

So, x/(x - 1) can never be equal to 1.

Answer : E
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by Brent@GMATPrepNow » Mon May 13, 2013 10:12 am
Atekihcan wrote:
Brent@GMATPrepNow wrote:Which of the following CANNOT be a value of y when y = x/(x-1) ?
x > (x - 1)

Now, if (x - 1) > 0, i.e. x > 1 ---> x/(x - 1) > 1
And, if (x - 1) < 0, i.e. x < 1 ---> x/(x - 1) < 1

So, x/(x - 1) can never be equal to 1.

Answer : E
Good stuff.
Another approach is to recognize that, in order for x/(x-1) to equal one, the numerator must equal the denominator. Since it's impossible for x to equal x-1, the expression can never equal 1.

Aside: I added the bit about identifying all correct answers to see if anyone would bite and select F as well.

Cheers,
Brent
Last edited by Brent@GMATPrepNow on Mon May 13, 2013 10:54 am, edited 2 times in total.
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by Atekihcan » Mon May 13, 2013 10:52 am
Brent@GMATPrepNow wrote:Another approach is to recognize that, in order for x/(x-1) to equal zero...
You meant to say 'one', I guess.
Brent@GMATPrepNow wrote:Aside: I added the bit about identifying all correct answers to see if anyone would bite and select F as well.
B and F are same answer choice.
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by Brent@GMATPrepNow » Mon May 13, 2013 10:57 am
Atekihcan wrote:
Brent@GMATPrepNow wrote:Another approach is to recognize that, in order for x/(x-1) to equal zero...
You meant to say 'one', I guess.

Good catch. I edited it accordingly
Brent@GMATPrepNow wrote:Aside: I added the bit about identifying all correct answers to see if anyone would bite and select F as well.
B and F are same answer choice.
Another nice catch!
I guess I should have another cup of coffee :-)

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
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