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# properties of numbers question

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Intern
Joined: 10 Jun 2008
Posts: 8

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19 Aug 2008, 11:00
Question : Of the three digit integers greater than 700, how many have two digits that are equal to each other and the remaining digit different from the other two?

A) 90
B) 82
C) 80
D) 45
E)36
How do I go about setting this up
I guess a table
701-799 800-899 900-999

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SVP
Joined: 07 Nov 2007
Posts: 1728
Location: New York
Re: properties of numbers question  [#permalink]

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19 Aug 2008, 11:18
darlameow wrote:
Question : Of the three digit integers greater than 700, how many have two digits that are equal to each other and the remaining digit different from the other two?

A) 90
B) 82
C) 80
D) 45
E)36
How do I go about setting this up
I guess a table
701-799 800-899 900-999

You are right that is the range.
Total number in 800-899 range = 9 (tenth digit and unit digit are same and not equal to 8)
+ 9 (hundredth digit and unit digit are same=8 and tenth digit not equal to 8) +9 ( hundredth didgit and tenth digit =8 and unit digit not equal to 8)
= 27

Total number = 27+27+27 -1 = 80

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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!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.

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Re: properties of numbers question &nbs [#permalink] 19 Aug 2008, 11:18
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# properties of numbers question

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