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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]  15 Sep 2010, 06:38
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Difficulty:

15% (low)

Question Stats:

78% (01:24) correct 22% (00:49) wrong based on 55 sessions
What is the value of x^2yz + xy^2z + xyz^2 ?

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

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Re: What is the value of x^2yz+xy^2z+xyz^2 ? [#permalink]  15 Sep 2010, 20:14
Thanks bunuel for reformatting the question - straight C
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VP
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Re: What is the value of x^2yz+xy^2z+xyz^2 ? [#permalink]  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]  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]  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]  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]  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).

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Re: What is the value of x^2yz+xy^2z+xyz^2 ? [#permalink]  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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# What is the value of x^2yz + xy^2z + xyz^2 ?

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