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Retired Moderator Joined: 07 Jun 2014
Posts: 4803
GRE 1: Q167 V156 WE: Business Development (Energy and Utilities)
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x2 – 2x = 0 [#permalink]
Expert's post 00:00

Question Stats: 67% (00:12) correct 32% (00:25) wrong based on 67 sessions
$$x^2 - 2x = 0$$

 Quantity A Quantity B $$x$$ $$2$$

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.
[Reveal] Spoiler: OA

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Sandy
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Try our free Online GRE Test VP Joined: 20 Apr 2016
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WE: Engineering (Energy and Utilities)
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Re: x2 – 2x = 0 [#permalink]
2
KUDOS
sandy wrote:
$$x^2 - 2x = 0$$

 Quantity A Quantity B $$x$$ $$2$$

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.

Here $$x^2 - 2x = 0$$

or x (x - 2) = 0

either x = 0 or x-2 =0 or x = 2

If x = 0 then Statement 1 < Statement 2

If x= 2 then Statement 1 = Statement 2

Hence option D
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GRE Prep Club Members of the Month:TOP 10 members of the month with highest kudos receive access to 3 months GRE Prep Club tests Retired Moderator Joined: 07 Jun 2014
Posts: 4803
GRE 1: Q167 V156 WE: Business Development (Energy and Utilities)
Followers: 171

Kudos [?]: 2934  , given: 394

Re: x2 – 2x = 0 [#permalink]
1
KUDOS
Expert's post
Explanation

Factorize $$x^2 - 2x = 0$$:
$$x^2 - 2x = 0$$
$$x(x - 2) = 0$$

$$x = 0$$ OR $$(x - 2) = 0$$
x = 0 or 2.

Thus, Quantity A could be less than or equal to Quantity B. The relationship cannot be determined from the information given.

(Note that you cannot simply divide both sides of the original equation by x. It is illegal to divide by a variable unless it is certain that the variable does not equal zero.)
_________________

Sandy
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Try our free Online GRE Test Re: x2 – 2x = 0   [#permalink] 16 Jul 2018, 18:57
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