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Gmatclub tests [#permalink]

08 Jul 2010, 04:59

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62% (01:38) correct

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

[Reveal] Spoiler: OA

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Re: Gmatclub tests [#permalink]

08 Jul 2010, 06:46

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.

Answer: A.

Hope it's clear.
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Manager

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Re: Gmatclub tests [#permalink]

08 Jul 2010, 08:03

Hey,
Great thinking.
Thx.

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Re: Gmatclub tests [#permalink]

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

Re: Gmatclub tests [#permalink] 08 Jul 2010, 12:51

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