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x2 – 2x = 0

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GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 07 Jun 2014
Posts: 4749
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 93

Kudos [?]: 1652 [0], given: 396

CAT Tests
x2 – 2x = 0 [#permalink] New post 23 Jun 2018, 12:10
Expert's post
00:00

Question Stats:

80% (00:10) correct 19% (00:44) wrong based on 26 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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1 KUDOS received
Director
Director
Joined: 20 Apr 2016
Posts: 756
Followers: 6

Kudos [?]: 511 [1] , given: 94

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Re: x2 – 2x = 0 [#permalink] New post 29 Jun 2018, 05:02
1
This post received
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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GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 07 Jun 2014
Posts: 4749
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 93

Kudos [?]: 1652 [0], given: 396

CAT Tests
Re: x2 – 2x = 0 [#permalink] New post 16 Jul 2018, 18:57
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.)
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Sandy
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Re: x2 – 2x = 0   [#permalink] 16 Jul 2018, 18:57
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