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If x ≠ 0, what is the value of x?

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If x ≠ 0, what is the value of x? [#permalink]

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New post 28 Aug 2017, 02:27
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Question Stats:

49% (01:26) correct 51% (01:47) wrong based on 65 sessions

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Fresh GMAT Club Tests' Challenge Question:



If x ≠ 0, what is the value of x?

(1) The distance between x and -x on the number line is equal to the distance between x^2 and -x^2

(2) x ? |x| = 0, where ? represents one of the three operations addition, subtraction, or multiplication
[Reveal] Spoiler: OA

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Kudos [?]: 135833 [0], given: 12715

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Re: If x ≠ 0, what is the value of x? [#permalink]

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New post 28 Aug 2017, 02:35
Bunuel wrote:

Fresh GMAT Club Tests' Challenge Question:



What is the value of x?

(1) The distance between x and -x on the number line is equal to the distance between x^2 and -x^2

(2) x ? |x| = 0, where ? represents one of the three operations addition, subtraction, or multiplication


(1) x can take 0 or 1 or -1
in all the cases the distance between x and -x on the number line is equal to the distance between x^2 and -x^2
not sufficient

(2) if x = 0 then ? represents any one of the operations
if x=-1 then ? represents addition
if x=1 then ? represent subtraction
not sufficient

on combining also not sufficient
E
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Re: If x ≠ 0, what is the value of x? [#permalink]

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New post 28 Aug 2017, 02:50
Bunuel wrote:

Fresh GMAT Club Tests' Challenge Question:



If x ≠ 0, what is the value of x?

(1) The distance between x and -x on the number line is equal to the distance between x^2 and -x^2

(2) x ? |x| = 0, where ? represents one of the three operations addition, subtraction, or multiplication



Stmnt 1) x = 1 or -1 . Insuff
Stmnt 2) if addition, x=-1
if subtraction x=1
Hence E

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Re: If x ≠ 0, what is the value of x? [#permalink]

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New post 29 Aug 2017, 01:53
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For the first statement,
distance between x and -x is same as x^2 and -x^2
let say x=1, -1, distance is 2
and 1^2 and -1^2, distance is 2
(GMAT number property, -x^2= -1(x)^2 so -1^2= -1)
insuff.

For the second statement, x? |x| = 0, ? represent + / - / x < does that mean only represent one of them, or all three?
then x must be -ve? x-x= 0
I actually don't really understand the second statement.
someone please explain, thank you

Kudos [?]: 3 [0], given: 454

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If x ≠ 0, what is the value of x? [#permalink]

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New post 29 Aug 2017, 01:56
pclawong wrote:
For the first statement,
distance between x and -x is same as x^2 and -x^2
let say x=1, -1, distance is 2
and 1^2 and -1^2, distance is 2
(GMAT number property, -x^2= -1(x)^2 so -1^2= -1)
insuff.

For the second statement, x? |x| = 0, ? represent + / - / x < does that mean only represent one of them, or all three?
then x must be -ve? x-x= 0
I actually don't really understand the second statement.
someone please explain, thank you


x? |x| = 0
? can represent any of the three (+, -, *) basis the value of x
if u consider x as 1 then ? is -
if u consider x as -1 then ? is +
if u consider x as 0 then ? can take any of -,+,*
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Luckisnoexcuse

Kudos [?]: 181 [0], given: 138

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Re: If x ≠ 0, what is the value of x? [#permalink]

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New post 29 Aug 2017, 02:03
Luckisnoexcuse wrote:
pclawong wrote:
For the first statement,
distance between x and -x is same as x^2 and -x^2
let say x=1, -1, distance is 2
and 1^2 and -1^2, distance is 2
(GMAT number property, -x^2= -1(x)^2 so -1^2= -1)
insuff.

For the second statement, x? |x| = 0, ? represent + / - / x < does that mean only represent one of them, or all three?
then x must be -ve? x-x= 0
I actually don't really understand the second statement.
someone please explain, thank you


x? |x| = 0
? can represent any of the three (+, -, *) basis the value of x
if u consider x as 1 then ? is -
if u consider x as -1 then ? is +
if u consider x as 0 then ? can take any of -,+,*


so, again, x can be 1 or x can be -1?
insuff.. ?

Kudos [?]: 3 [0], given: 454

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Joined: 18 Aug 2016
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Kudos [?]: 181 [0], given: 138

GMAT 1: 630 Q47 V29
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Re: If x ≠ 0, what is the value of x? [#permalink]

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New post 29 Aug 2017, 02:08
pclawong wrote:
Luckisnoexcuse wrote:
pclawong wrote:
For the first statement,
distance between x and -x is same as x^2 and -x^2
let say x=1, -1, distance is 2
and 1^2 and -1^2, distance is 2
(GMAT number property, -x^2= -1(x)^2 so -1^2= -1)
insuff.

For the second statement, x? |x| = 0, ? represent + / - / x < does that mean only represent one of them, or all three?
then x must be -ve? x-x= 0
I actually don't really understand the second statement.
someone please explain, thank you


x? |x| = 0
? can represent any of the three (+, -, *) basis the value of x
if u consider x as 1 then ? is -
if u consider x as -1 then ? is +
if u consider x as 0 then ? can take any of -,+,*


so, again, x can be 1 or x can be -1?
insuff.. ?

Correct and hence E
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Luckisnoexcuse

Kudos [?]: 181 [0], given: 138

Re: If x ≠ 0, what is the value of x?   [#permalink] 29 Aug 2017, 02:08
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