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If x^6 – y^6 = 0, what is the value of x^3 – y^3?

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Joined: 02 Sep 2009
Posts: 42571

Kudos [?]: 135392 [0], given: 12691

If x^6 – y^6 = 0, what is the value of x^3 – y^3? [#permalink]

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New post 22 Oct 2017, 05:53
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A
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C
D
E

Difficulty:

  45% (medium)

Question Stats:

53% (00:54) correct 47% (01:14) wrong based on 38 sessions

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Kudos [?]: 135392 [0], given: 12691

Manager
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Joined: 05 Oct 2014
Posts: 51

Kudos [?]: 11 [0], given: 153

Location: India
Concentration: General Management, Strategy
GMAT 1: 580 Q41 V28
GPA: 3.8
WE: Project Management (Energy and Utilities)
Re: If x^6 – y^6 = 0, what is the value of x^3 – y^3? [#permalink]

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New post 22 Oct 2017, 06:20
X6 – y6 =0
=> (X3)2 – (y3)2 =0 => (X3 + y3) (X3 - y3) = 0

So,

Either, (X3 + y3) =0 implies x=-y or y=-x

Or, (X3 - y3) = 0 implies x=y

(1) says , x is +ve , but we don’t know the value of y. INSUFFICENT

(2) says y>1 , we don’t know the value of x. INSUFFICEIENT

Adding (1) + (2) , (X3 - y3) must be 0

Answer should be C

Kudos [?]: 11 [0], given: 153

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Joined: 06 Jan 2015
Posts: 243

Kudos [?]: 121 [0], given: 476

Location: India
Concentration: Operations, Finance
GPA: 3.35
WE: Information Technology (Computer Software)
Re: If x^6 – y^6 = 0, what is the value of x^3 – y^3? [#permalink]

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New post 22 Oct 2017, 06:39
x^6 - y^6 = 0 ==>(x^3-y^3)*(x^3+y^3)=0

==>(x^3-y^3)=0 or (x^3+y^3)=0 or both =0

(1)x is positive.-- No Info abt y- Not suff
(2) y is greater than 1. -- No Info abt x- Not suff

Combining (1) and (2) we get: x is positive and y>1,It means both are positive hence (x^3+y^3) >0

Therefore (x^3-y^3) =0

Hence C
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Resource: GMATPrep RCs With Solution

Kudos [?]: 121 [0], given: 476

Re: If x^6 – y^6 = 0, what is the value of x^3 – y^3?   [#permalink] 22 Oct 2017, 06:39
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