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# Gmat Prep Question

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Intern
Joined: 01 Apr 2017
Posts: 1

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11 Sep 2017, 02:30
00:00

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Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 1 sessions

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How many integers between 324,700 and 458,600 have a 2 in the tens digit and a 1 in the units digit?

I solved in the following manner:

The number are from 324700 to 458600. That is from 324700 to 399999 and from 400000 to 458600.

The number of numbers ending in 21 from 324700 to 399999:

1*8*6*3*1*1=144 total (i.e. only the three digits will change. First digit and the last two digits are constant)

The number of numbers ending in 21 from 400000 to 458600:

1*6*9*7*1*1=378

so total= 144+378=522 but answer is 1339.

Please Bunuel let me know where I am committing the mistake.

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

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This discussion does not meet community quality standards. It has been retired.

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Math Expert
Joined: 02 Sep 2009
Posts: 55274

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11 Sep 2017, 02:32
AnanyaSamal wrote:
How many integers between 324,700 and 458,600 have a 2 in the tens digit and a 1 in the units digit?

I solved in the following manner:

The number are from 324700 to 458600. That is from 324700 to 399999 and from 400000 to 458600.

The number of numbers ending in 21 from 324700 to 399999:

1*8*6*3*1*1=144 total (i.e. only the three digits will change. First digit and the last two digits are constant)

The number of numbers ending in 21 from 400000 to 458600:

1*6*9*7*1*1=378

so total= 144+378=522 but answer is 1339.

Please Bunuel let me know where I am committing the mistake.

This question is discussed here: how-many-integers-between-324-700-and-458-600-have-tens-110744.html In case of any questions please post in that thread.

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

THERE IS LIKELY A BETTER DISCUSSION OF THIS EXACT QUESTION.
This discussion does not meet community quality standards. 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.

_________________
Re: Gmat Prep Question   [#permalink] 11 Sep 2017, 02:32
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