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What is the value of x^2yz + xy^2z + xyz^2 ?

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What is the value of x^2yz + xy^2z + xyz^2 ? [#permalink] New post 15 Sep 2010, 06:38
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A
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C
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E

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Question Stats:

84% (01:23) correct 16% (00:40) wrong based on 49 sessions
What is the value of x^2yz + xy^2z + xyz^2 ?

(1) x + y + z = 18
(2) xyz = 10
[Reveal] Spoiler: OA
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Re: What is the value of x^2yz+xy^2z+xyz^2 ? [#permalink] New post 15 Sep 2010, 07:18
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rraggio wrote:
What is the value of x^2yz+xy^2z+xyz^2 ?

(1) x+y+z=18
(2) xyz=10

Thanks again!


Question: x^2yz+xy^2z+xyz^2=xyz(x+y+z)=?

(1) x+y+z=18. We know only one of the multiples. Not sufficient.
(2) xyz=10. We know only one of the multiples. Not sufficient.

(1)+(2) x+y+z=18 and xyz=10 --> xyz(x+y+z)=10*18=180. Sufficient.

Answer: C.
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Re: What is the value of x^2yz+xy^2z+xyz^2 ? [#permalink] New post 15 Sep 2010, 20:14
Thanks bunuel for reformatting the question - straight C
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Re: What is the value of x^2yz+xy^2z+xyz^2 ? [#permalink] New post 16 Sep 2010, 15:46
When I read this problem it appears like x is raised the 2yz power, not x to the 2nd power multiplied by y and z. Don't know if there's a way to make that a bit clearer but it would make the solution a lot more straight forward.
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Re: What is the value of x^2yz+xy^2z+xyz^2 ? [#permalink] New post 19 Sep 2010, 19:30
If xyz was given as equal to zero, than the answer would have been totally different
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Re: What is the value of x^2yz+xy^2z+xyz^2 ? [#permalink] New post 19 Sep 2010, 19:37
Agreed, without the reformatted question that thing is confusing as heck.
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Re: What is the value of x^2yz+xy^2z+xyz^2 ? [#permalink] New post 19 Sep 2010, 20:11
cheetarah1980 wrote:
When I read this problem it appears like x is raised the 2yz power, not x to the 2nd power multiplied by y and z. Don't know if there's a way to make that a bit clearer but it would make the solution a lot more straight forward.


Yep, even I read it in the same way..but spent 30 secs and then realied it is not so..
But it is straight...C
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Re: What is the value of x^2yz+xy^2z+xyz^2 ? [#permalink] New post 17 Sep 2011, 17:55
x^2*y*z + x*y^2*z+x*y*z^2 =?

i.e xyz(x+y+z) =?

1. Not sufficient.

x+y+z = 18. there is no way we can find out the value of xyz from this . as different x,y,z combinations will yield
different xyz.

2. Not sufficient.

xyz = 10

there is no way we can find out the value of x+y+z from this . as different x,y,z combinations will yield
different x+y+z.

1&2 together, its sufficient to find out xyz(x+y+z).

Answer is C.
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Re: What is the value of x^2yz+xy^2z+xyz^2 ? [#permalink] New post 18 Sep 2011, 18:14
rraggio wrote:
What is the value of x^2yz+xy^2z+xyz^2 ?

(1) x+y+z=18
(2) xyz=10

Thanks again!


I would go for E for this format of the question.

Is that correct guys?
Re: What is the value of x^2yz+xy^2z+xyz^2 ?   [#permalink] 18 Sep 2011, 18:14
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