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the tens' digit

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by sanju09 » Sat Jul 03, 2010 3:33 am
What is the tens' digit of positive integer x?

(1) x divided by 100 has a remainder of 30.

(2) x divided by 110 has a remander of 30.
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Source: — Data Sufficiency |
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by selango » Sat Jul 03, 2010 4:10 am
IMO A.

From stmt1,

x=100q+30

whatever the value of q,the last 2 digits will be 30.So the tens digit is 3.

From stmt2,

x=110q+30

x varies according to q value.So insufficient.
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by Patrick_GMATFix » Sat Jul 03, 2010 4:14 am
Hi Sanju,

Thanks for posting. This is DS #171 in OG 12. The solution is attached in this PDF.

Selango is correct. The OA is A. Statement 1 is sufficient because only integers that end with 30 will have a remainder of 30 when divided by 100. Statement 2 can be proven insufficient with a couple of plugins.

-Patrick
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