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# If x^2y^3=200, what is xy ?

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Current Student
Joined: 04 Jun 2018
Posts: 156
GMAT 1: 610 Q48 V25
GMAT 2: 690 Q50 V32
GMAT 3: 710 Q50 V36
If x^2y^3=200, what is xy ?  [#permalink]

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14 Jan 2019, 08:57
2
00:00

Difficulty:

55% (hard)

Question Stats:

46% (01:23) correct 54% (01:22) wrong based on 49 sessions

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If x^2y^3=200, what is xy ?

(1) y is an integer
(2) x is an integer
Current Student
Joined: 04 Jun 2018
Posts: 156
GMAT 1: 610 Q48 V25
GMAT 2: 690 Q50 V32
GMAT 3: 710 Q50 V36
Re: If x^2y^3=200, what is xy ?  [#permalink]

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14 Jan 2019, 09:02
2
Hi

I encountered a similiar type of question on the gmat club tests but I cannot locate it.
I have a doubt on this question.
IMO the answer should be E.

Statement 1:
If y=2
X may be 5 or -5
Hence xy may be 10/ -10.

Statment 2:
y=2
then x may be 5/-5.
so xy may be 10/-10

Hence the answer should be E.
Am I correct in my reasoning?

chetan2u
gmatbusters
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Joined: 27 Oct 2017
Posts: 1256
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WE: Business Development (Energy and Utilities)
Re: If x^2y^3=200, what is xy ?  [#permalink]

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14 Jan 2019, 09:15
You are right, the Answer shall be E.

Since the exponent/ power of x is even, the unique value of x cannot be determined. (As both positive and negative value of x gives same value of $$x^2$$)

nitesh50 wrote:
Hi

I encountered a similiar type of question on the gmat club tests but I cannot locate it.
I have a doubt on this question.
IMO the answer should be E.

Statement 1:
If y=2
X may be 5 or -5
Hence xy may be 10/ -10.

Statment 2:
y=2
then x may be 5/-5.
so xy may be 10/-10

Hence the answer should be E.
Am I correct in my reasoning?

chetan2u
gmatbusters

_________________
Re: If x^2y^3=200, what is xy ?   [#permalink] 14 Jan 2019, 09:15
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