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Another question

Expert replies
by srisanj4 » Tue Dec 30, 2008 8:58 pm
If 44<333-X<66, which of the following could be true?

I. Unit digit of X is 3
II. Tens digit of X is 3
III. Hundreds digit of X is 3
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Source: — Problem Solving |

by kartyc » Fri Jan 02, 2009 12:43 am
IMO - its I and III, but what are the options.
We can work based on that.
Thanks.
Melbourne, Australia.
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by aim-wsc » Fri Jan 02, 2009 1:08 am
Strictly GMAT stories for I just beat the GMAT section, please.
For GMAT question find appropriate sub-forum & post your queries. In this case: Math forum (& it's further divided into PS & DS sections)
lets keep the forum organised. :)

welcome to the beat The GMAT community :)
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Re: Another question

by Stuart@KaplanGMAT » Fri Jan 02, 2009 1:25 am
srisanj4 wrote:If 44<333-X<66, which of the following could be true?

I. Unit digit of X is 3
II. Tens digit of X is 3
III. Hundreds digit of X is 3
We care about X, so let's simplify the expression by subtracting 333 from each portion:

-289 < -X < -267

and let's multiply by -1:

289 > X > 267

So:

Units digit COULD be 3 (e.g. 283)
Tens digit CANNOT be 3
Hundreds digit CANNOT be 3
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by cramya » Fri Jan 02, 2009 3:38 pm
Excellent explanation Stuart!
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