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# If x,y,z are positive and y%of x is greater than 100,is x%of

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Director
Joined: 25 Oct 2008
Posts: 574
Location: Kolkata,India
If x,y,z are positive and y%of x is greater than 100,is x%of [#permalink]

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18 Jul 2009, 03:51
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If x,y,z are positive and y%of x is greater than 100,is x%of z less than 10?
1. z% of y is 10
2. z is less than 10% of y

[Reveal] Spoiler:
Ans:C

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Manager
Joined: 07 Apr 2009
Posts: 144

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18 Jul 2009, 07:35
I could solve it by 'B' alone..

given $$xy/100 > 100$$ to be proved is xz < 1000 ?

let us take the stmt 2

z < 10y/100
10z < y
i.e y > 10z

let us say y=10z
put this in the given stmt

10*x*z > 10000
xz > 1000

since y > 10z , it still holds good.

Manager
Joined: 15 Apr 2008
Posts: 50
Location: Moscow

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18 Jul 2009, 10:43
tejal777 wrote:
If x,y,z are positive and y%of x is greater than 100,is x%of z less than 10?
1. z% of y is 10
2. z is less than 10% of y

1. z% of y is 10 - insuff, doesn't tell us anything about x
2. z is less than 10% of y - insuff, doesn't tell us anything about x
Combining 1 and 2: let's find a "break point", when "z% of y is 10" and "z is 10% of y": z=10 and y=100. It means, that if we combine 1 and 2, we have: z<10, y>100 (you can plug in numbers to check).
But still, we don't know anything about x, even from "y% of x greater than 100": x can be any number (as y can be endlessly big).
For example: x=100, y=200, z=5 and x=300, y=200, z=5 satisfy both statements, but give different answers.
Hence, E.
Director
Joined: 01 Apr 2008
Posts: 846
Name: Ronak Amin
Schools: IIM Lucknow (IPMX) - Class of 2014

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18 Jul 2009, 11:06
tejal , do you have the OE?

--== Message from GMAT Club Team ==--

This is not a quality discussion. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

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Re: x,y,z are positive   [#permalink] 18 Jul 2009, 11:06
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