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GRE Math Challenge #142-(1-x)/(x-1)= 1/x
[#permalink]
Updated on: 20 Feb 2020, 16:34
Updated on: 20 Feb 2020, 16:34
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Question Stats:
77% (00:42) correct
22% (01:27) wrong based on 97 sessions
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\(\frac{(1-x)}{(x-1)}= \frac{1}{x}\)
x is not equal to 1
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Kudos for the right answer and explanation
x is not equal to 1
Quantity A |
Quantity B |
X |
\(-\frac{1}{2}\) |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Kudos for the right answer and explanation
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: GRE Math Challenge #142
[#permalink]
15 May 2015, 13:34
15 May 2015, 13:34
1
sandy wrote:
\((1-x)/(x-1)= 1/x\)
x is not equal to 1
Quantity A: x
Quantity B: -1/2
x is not equal to 1
Quantity A: x
Quantity B: -1/2
SOLVE FOR x
Notice that we can take (1-x)/(x-1) and rewrite it as follows:
(1-x)/(x-1) = (-1)(-1 + x)/(x - 1)
= (-1)(x - 1)/(x - 1)
= -1
So, our original equation becomes -1 = 1/x, which means x = -1
So, we get:
Quantity A: -1
Quantity B: -1/2
-1/2 is greater than -1, so the correct answer is
Show: ::
B
Cheers,
Brent
Re: GRE Math Challenge #142-(1-x)/(x-1)= 1/x
[#permalink]
09 Aug 2016, 17:33
09 Aug 2016, 17:33
1
Why did you multiply by (-1) here? to eliminate the fraction?
(-1)(-1 + x)/(x - 1)
(-1)(-1 + x)/(x - 1)
