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A child selected a three-digit number, XYZ

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askhoman4
 Post subject: A child selected a three-digit number, XYZ
 Post Posted: Sat Jun 06, 2009 9:24 am 
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Course Students


Posts: 7
GMAT Prep 2 DS question:
A child selected a three-digit number, XYZ, where X, Y, and Z denote the digits of the number. If no two of the three digits were equal, what was the three-digit number?
(1) The sum of the digits was 10.
(2) X < Y < Z

I tried listing the numbers and this took a while. Can anybody recommend a quick way to solve this?

Thanks in advance!

OA is E.
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kramacha1979
 Post subject: Re: A child selected a three-digit number, XYZ
 Post Posted: Mon Jun 08, 2009 10:08 pm 
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Students


Posts: 69
I'd start w stmt B ..it's lot easier

X<Y<Z .. it can be anything .. 235, 236 ..etc
Not Suff

X+Y+Z = 10
many such numbers 109, 901 ..etc ...Not Suff

2 Stmts together

chose the hundred's digit to be really small maybe 1
then we can play w rest of the 2 digits .to get to 10
136 or 145 .....
Hence again not Suff..
Ans E
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StaceyKoprince
 Post subject: Re: A child selected a three-digit number, XYZ
 Post Posted: Tue Jul 07, 2009 12:07 pm 
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ManhattanGMAT Staff


Posts: 6064
Location: San Francisco
I like kramacha's thinking. Remember that, for a DS value question, all you have to do is show that there are two possible values to know that a statement is not sufficient. Don't worry about trying to list ALL possible values. Find two and it's not sufficient.

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