How many integers between 324,700 and 458,600 have tens digit 2 and : GMAT Problem Solving (PS)
Check GMAT Club Decision Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack

 It is currently 24 Jan 2017, 10:58

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

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

Author Message
TAGS:

### Hide Tags

Director
Joined: 22 Aug 2007
Posts: 567
Followers: 1

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

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

### Show Tags

13 Oct 2007, 23:39
10
This post was
BOOKMARKED
00:00

Difficulty:

25% (medium)

Question Stats:

76% (02:19) correct 24% (02:06) wrong based on 257 sessions

### HideShow timer Statistics

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

[Reveal] Spoiler:
Attachment:

Untitled1.jpg [ 10.85 KiB | Viewed 2694 times ]
[Reveal] Spoiler: OA

Last edited by Bunuel on 21 May 2015, 09:22, edited 1 time in total.
Renamed the topic, edited the question, added the OA and moved to PS forum.
VP
Joined: 08 Jun 2005
Posts: 1146
Followers: 7

Kudos [?]: 189 [2] , given: 0

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

### Show Tags

14 Oct 2007, 00:00
2
KUDOS
1
This post was
BOOKMARKED
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

VP
Joined: 09 Jul 2007
Posts: 1104
Location: London
Followers: 6

Kudos [?]: 103 [1] , given: 0

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

### Show Tags

14 Oct 2007, 11:43
1
KUDOS
1
This post was
BOOKMARKED
have fun!
Attachments

Manager
Joined: 14 Apr 2010
Posts: 230
Followers: 2

Kudos [?]: 150 [0], given: 1

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

### Show Tags

08 Jul 2010, 03:59
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
Math Expert
Joined: 02 Sep 2009
Posts: 36638
Followers: 7106

Kudos [?]: 93656 [4] , given: 10583

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

### Show Tags

08 Jul 2010, 05:46
4
KUDOS
Expert's post
1
This post was
BOOKMARKED
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.
_________________
Manager
Joined: 14 Apr 2010
Posts: 230
Followers: 2

Kudos [?]: 150 [0], given: 1

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

### Show Tags

08 Jul 2010, 07:03
Hey,
Great thinking.
Thx.
Intern
Affiliations: NYSSA
Joined: 07 Jun 2010
Posts: 35
Location: New York City
Schools: Wharton, Stanford, MIT, NYU, Columbia, LBS, Berkeley (MFE program)
WE 1: Senior Associate - Thomson Reuters
WE 2: Analyst - TIAA CREF
Followers: 0

Kudos [?]: 10 [0], given: 2

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

### Show Tags

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
GMAT Club Legend
Joined: 09 Sep 2013
Posts: 13544
Followers: 578

Kudos [?]: 163 [0], given: 0

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

### Show Tags

19 Apr 2015, 02:37
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).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
GMAT Club Legend
Joined: 09 Sep 2013
Posts: 13544
Followers: 578

Kudos [?]: 163 [0], given: 0

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

### Show Tags

21 May 2015, 08:19
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).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
GMAT Club Legend
Joined: 09 Sep 2013
Posts: 13544
Followers: 578

Kudos [?]: 163 [0], given: 0

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

### Show Tags

21 Aug 2016, 16:09
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).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
Re: How many integers between 324,700 and 458,600 have tens digit 2 and   [#permalink] 21 Aug 2016, 16:09
Similar topics Replies Last post
Similar
Topics:
21 If two 2-digit positive integers have their respective tens digits exc 10 25 Sep 2015, 23:21
30 How many numbers between 0 and 1670 have a prime tens digit 20 09 Feb 2012, 12:23
55 How many integers between 324,700 and 458,600 have tens 20 11 Mar 2011, 08:47
31 How many 3-digit integers between 100 and 200 have a digit 17 19 Dec 2007, 05:53
20 How many integers between 324,700 and 458,600 have tens digit 1 and un 7 17 Aug 2007, 20:54
Display posts from previous: Sort by