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# How many integers between 324,700 and 458,600 have tens digit 1 and un

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Senior Manager
Joined: 09 Aug 2006
Posts: 498
How many integers between 324,700 and 458,600 have tens digit 1 and un  [#permalink]

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Updated on: 26 Oct 2014, 05:53
11
00:00

Difficulty:

35% (medium)

Question Stats:

75% (01:11) correct 25% (02:06) wrong based on 236 sessions

### HideShow timer Statistics

How many integers between 324,700 and 458,600 have tens digit 1 and units digit 3?

A. 10,300
B. 10,030
C. 1,353
D. 1,352
E. 1,339

OPEN DISCUSSION OF THIS QUESTION IS HERE: how-many-integers-between-324-700-and-458-600-have-tens-110744.html

Originally posted by Amit05 on 17 Aug 2007, 20:54.
Last edited by Bunuel on 26 Oct 2014, 05:53, edited 2 times in total.
Renamed the topic, edited the question and added the OA.
Manager
Joined: 15 Aug 2007
Posts: 68
Re: How many integers between 324,700 and 458,600 have tens digit 1 and un  [#permalink]

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17 Aug 2007, 21:45
Amit05 wrote:
Q How many integers between 234700 and 458600 have tens digit 1 and units digit 3?

A 10300 B.10030 C 1353 D 1352 E 1339

Some how I m getting 2239 answer....

1st no can be 234713 and last is 458513
After every 100 number last 2 digits repeat.

So range is 234713, 234813, ......458413, 458513

Total no=4585-2347 +1
=2239
Manager
Joined: 13 May 2007
Posts: 221
Re: How many integers between 324,700 and 458,600 have tens digit 1 and un  [#permalink]

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17 Aug 2007, 23:36
I also 2239

for every 100 increase there is just one such case with tens digit as 1 and unit as 3 (13), so 458600 -234700 = 223900/100(to find the number of hundred's) = 2239
Senior Manager
Joined: 09 Aug 2006
Posts: 498
Re: How many integers between 324,700 and 458,600 have tens digit 1 and un  [#permalink]

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18 Aug 2007, 00:11
Sorry guys.. I can't confirm the answer since I too don't have the OA. I also got the same answer but it is not there in the ans. choices. Wanted to see if I am taking wrong approach..
Manager
Joined: 08 Jan 2007
Posts: 60
Location: D.C.
Re: How many integers between 324,700 and 458,600 have tens digit 1 and un  [#permalink]

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18 Aug 2007, 09:46
[quote="chiya"][quote="Amit05"]Q How many integers between 234700 and 458600 have tens digit 1 and units digit 3?

A 10300 B.10030 C 1353 D 1352 E 1339[/quote]

Some how I m getting 2239 answer....

1st no can be 234713 and last is 458513
After every 100 number last 2 digits repeat.

So range is [b]2347[/b]13, [b]2348[/b]13, ......[b]4584[/b]13, [b]4585[/b]13

Total no=4585-2347 +1
=2239[/quote]

458,600 - 234,700 = 223,900 agreed

In ever 1,000, 1 in the tens and 3 in the units appears 10 times.
013
113
213
313
413
513
613
713
813
913

So in the first 223,000 1 & 3 appear 2230 + 9 = 2239
Senior Manager
Joined: 28 Jun 2007
Posts: 427
Re: How many integers between 324,700 and 458,600 have tens digit 1 and un  [#permalink]

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18 Aug 2007, 15:57
I chose E as soon as I calculated the last digit.

I would have looked like a fool if I had posted without reading ur responses
Math Expert
Joined: 02 Sep 2009
Posts: 52902
Re: How many integers between 324,700 and 458,600 have tens digit 1 and un  [#permalink]

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26 Oct 2014, 05:53
4
6
Amit05 wrote:
How many integers between 324,700 and 458,600 have tens digit 1 and units digit 3?

A. 10,300
B. 10,030
C. 1,353
D. 1,352
E. 1,339

There is one number in hundred with 1 in th tens digit and 3 in the units digit: 13, 113, 213, 313, ...

The difference between 324,700 and 458,600 is 458,600-324,700=133,900 - one number per each hundred gives 133,900/100=1,339 numbers.

OPEN DISCUSSION OF THIS QUESTION IS HERE: how-many-integers-between-324-700-and-458-600-have-tens-110744.html
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Non-Human User
Joined: 09 Sep 2013
Posts: 9835
Re: How many integers between 324,700 and 458,600 have tens digit 1 and un  [#permalink]

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28 Jan 2019, 04:54
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: How many integers between 324,700 and 458,600 have tens digit 1 and un   [#permalink] 28 Jan 2019, 04:54
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