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# How many integers between 324,700 and 458,600 have tens digit 2 and

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How many integers between 324,700 and 458,600 have tens digit 2 and [#permalink]

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14 Oct 2007, 00:39
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How many integers between 324,700 and 458,600 have tens digit 2 and units digit 1?

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

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[Reveal] Spoiler: OA

Last edited by Bunuel on 21 May 2015, 10:22, edited 1 time in total.
Renamed the topic, edited the question, added the OA and moved to PS forum.
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Re: How many integers between 324,700 and 458,600 have tens digit 2 and [#permalink]

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14 Oct 2007, 01:00
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Using the probability method

N = 458,600 – 324,700 = 133,900
P = 1/10*1/10 = 1/100.

P*N = 1/100*133,900 = 1,339

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Re: How many integers between 324,700 and 458,600 have tens digit 2 and [#permalink]

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14 Oct 2007, 12:43
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have fun!
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How many integers between 324,700 and 458,600 have tens digit 2 and [#permalink]

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08 Jul 2010, 04:59
How many integers between 324,700 and 458,600 have tens digit 2 and units digit 1?

A 1,339
B 1,352
C 1,353
D 10,030
E 10,300
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Re: How many integers between 324,700 and 458,600 have tens digit 2 and [#permalink]

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08 Jul 2010, 06:46
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bibha wrote:
How many integers between 324,700 and 458,600 have a 2 in the tens digit and a 1 in the units digit?
A 1,339
B 1,352
C 1,353
D 10,030
E 10,300

There is one number in hundred with 2 in th tens digit and 1 in the units digit: 21, 121, 221, 321, ...

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.

Hope it's clear.
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Re: How many integers between 324,700 and 458,600 have tens digit 2 and [#permalink]

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08 Jul 2010, 08:03
Hey,
Great thinking.
Thx.
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Re: How many integers between 324,700 and 458,600 have tens digit 2 and [#permalink]

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08 Jul 2010, 12:51
bibha wrote:
How many integers between 324,700 and 458,600 have a 2 in the tens digit and a 1 in the units digit?
A 1,339
B 1,352
C 1,353
D 10,030
E 10,300

Find the number of integers between the two.

458600-324700 = 133900. Now we need to figure out how many instances there will be a 2 in the tens and a 1 in the units. The easiest way to do this is to see that per 100 integers (0-100) only 21 suffices the conditions. Thus, per 100 integers there is only 1 instance.

133900/100 = 1339.

A
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Re: How many integers between 324,700 and 458,600 have tens digit 2 and [#permalink]

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19 Apr 2015, 03:37
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Re: How many integers between 324,700 and 458,600 have tens digit 2 and [#permalink]

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21 May 2015, 09:19
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Re: How many integers between 324,700 and 458,600 have tens digit 2 and [#permalink]

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21 Aug 2016, 17:09
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Re: How many integers between 324,700 and 458,600 have tens digit 2 and   [#permalink] 21 Aug 2016, 17:09
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