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# How many integers between 324,700 and 458,600 have a 2 in the tens dig

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Manager
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Kudos [?]: 51 [0], given: 1

How many integers between 324,700 and 458,600 have a 2 in the tens dig [#permalink]  08 Jul 2010, 03:59
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74% (02:15) correct 26% (02:15) wrong based on 34 sessions
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
[Reveal] Spoiler: OA
Math Expert
Joined: 02 Sep 2009
Posts: 27170
Followers: 4226

Kudos [?]: 40956 [2] , given: 5576

Re: How many integers between 324,700 and 458,600 have a 2 in the tens dig [#permalink]  08 Jul 2010, 05:46
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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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Manager
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Kudos [?]: 51 [0], given: 1

Re: How many integers between 324,700 and 458,600 have a 2 in the tens dig [#permalink]  08 Jul 2010, 07:03
Hey,
Great thinking.
Thx.
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Kudos [?]: 7 [0], given: 2

Re: How many integers between 324,700 and 458,600 have a 2 in the tens dig [#permalink]  08 Jul 2010, 11:51
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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Kudos [?]: 52 [0], given: 0

Re: How many integers between 324,700 and 458,600 have a 2 in the tens dig [#permalink]  19 Apr 2015, 02:37
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Re: How many integers between 324,700 and 458,600 have a 2 in the tens dig   [#permalink] 19 Apr 2015, 02:37
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