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 Your Progress

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

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

It appears that you are browsing the GMAT Club forum unregistered!

Signing up is free, quick, and confidential.
Join other 500,000 members and get the full benefits of GMAT Club

Registration gives you:

Tests

Take 11 tests and quizzes from GMAT Club and leading GMAT prep companies such as Manhattan GMAT,
Knewton, and others. All are free for GMAT Club members.

Applicant Stats

View detailed applicant stats such as GPA, GMAT score, work experience, location, application
status, and more

Books/Downloads

Download thousands of study notes,
question collections, GMAT Club’s
Grammar and Math books.
All are free!

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

I once saw someone solving this kind of questions by multiplying the amount of different number of digits u can put in each place (in each different digit)
_________________

I once saw someone solving this kind of questions by multiplying the amount of different number of digits u can put in each place (in each different digit)

You can but you would have to take multiple cases and that would be really cumbersome. The left most digit can be either a 3 or a 4 but then next digit depends on what the leftmost digit is. If left most digit is 3, next digit can be anything from 2 to 9. If the leftmost digit is 4, the next digit can be from 0 to 5. Similarly other digits too. So preferably, focus on the approach given by Bunuel.
_________________

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

Show Tags

10 Aug 2012, 17:59

+1 E

We have to count how many hundreds are from 324,700 to 458,600. We substract 458,600 - 324,700 = 133,900 We divide, 133,900/100 = 1,339
_________________

"Life’s battle doesn’t always go to stronger or faster men; but sooner or later the man who wins is the one who thinks he can."

My Integrated Reasoning Logbook / Diary: http://gmatclub.com/forum/my-ir-logbook-diary-133264.html

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

Show Tags

08 Apr 2013, 18:26

briks123 wrote:

Definitely A.

458,600-324,700=133,900-1=133,899.

So there are 133,899 integers between the two numbers. Now how many hundreds of numbers are there? There are 1338+1 (to account for the number 133,821).

m clear with the statement that there are 133,899 integers between the two numbers. but how to calculate hundreds of numbers in them.....

There are 1338+1 (to account for the number 133,821-------cud not understand this particular step....

If anyone can explain me this step in little detail then plz explain coz i dont hv any idea

So there are 133,899 integers between the two numbers. Now how many hundreds of numbers are there? There are 1338+1 (to account for the number 133,821).

m clear with the statement that there are 133,899 integers between the two numbers. but how to calculate hundreds of numbers in them.....

There are 1338+1 (to account for the number 133,821-------cud not understand this particular step....

If anyone can explain me this step in little detail then plz explain coz i dont hv any idea

Thanks in advance!

When we have to find the numbers between A and B(where both A and B are included) = (B-A)/1 +1.

When we have to find the numbers between A and B(where both A and B are excluded) = (B-A)/1 -1.

When we have to find the numbers between A and B(where either A or B is included) = (B-A)/1 .

For a number to keep having a 2 in the tens place and 1 in the units place, we have to keep adding 100 to that number. Thus, starting from 324,721, keep adding 100 to get the same units and digits place. Now to find the hundreds, all we have to do is find the number of hundreds between 458,521 and 324,721, where both are included : (458521-324721)/100+1 = 1338+1 = 1339.
_________________

So there are 133,899 integers between the two numbers. Now how many hundreds of numbers are there? There are 1338+1 (to account for the number 133,821).

m clear with the statement that there are 133,899 integers between the two numbers. but how to calculate hundreds of numbers in them.....

There are 1338+1 (to account for the number 133,821-------cud not understand this particular step....

If anyone can explain me this step in little detail then plz explain coz i dont hv any idea

Thanks in advance!

Merging similar topics. Please refer to the solutions above.
_________________

So there are 133,899 integers between the two numbers. Now how many hundreds of numbers are there? There are 1338+1 (to account for the number 133,821).

m clear with the statement that there are 133,899 integers between the two numbers. but how to calculate hundreds of numbers in them.....

There are 1338+1 (to account for the number 133,821-------cud not understand this particular step....

If anyone can explain me this step in little detail then plz explain coz i dont hv any idea

Thanks in advance!

When we have to find the numbers between A and B(where both A and B are included) = (B-A)/1 +1.

When we have to find the numbers between A and B(where both A and B are excluded) = (B-A)/1 -1.

When we have to find the numbers between A and B(where either A or B is included) = (B-A)/1 .

For a number to keep having a 2 in the tens place and 1 in the units place, we have to keep adding 100 to that number. Thus, starting from 324,721, keep adding 100 to get the same units and digits place. Now to find the hundreds, all we have to do is find the number of hundreds between 458,521 and 324,721, where both are included : (458521-324721)/100+1 = 1338+1 = 1339.

what a wonderful explaination!!!

even after reading all the above solutions , things dint go in my mind .......

but ur explaination ( specially the first three lines) made my basic concepts vivid.

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

Show Tags

16 Jun 2014, 02:40

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.
_________________

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 the 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.

Answer: E.

Hi Why you divided by 100..Please explain..I read all below comments but still can not understand the concept.

Thanks in advance

In each hundred there is only one number with 1 in the tens digit and 3 in the units digit. How many hundreds are in 133,900? 133,900/100=1,339. One number per hundred gives total of 1,339*1 numbers.
_________________

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

Show Tags

20 Feb 2015, 08:03

I guess possibility of 1 in the tens is 1/10 and possibility of 23 in the unit digit is 1/10, so number of the way is 458,600-324,700=133,900/100 = 1,339

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

Show Tags

14 Dec 2015, 10:09

Dear Bunuel,Karishma/others

I might be overthinking here.

Getting confused. I reached till the step of calculating hundreds i.e 458600-324700 = 133900; Next I got confused and was trying to find hunders using Last-First +1 --> 133901

How are the above two concepts different. If we take 1-200 range to calculate 100's we can do 200-1 +1 --> total integers/100

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

Show Tags

13 Mar 2016, 20:04

Hi,

I have 3 questions.

1/ Here is how I approach the problem. Please check if it is correct. Find multiples of 100 between 324,700 and 458,600: (458,600-324,700)/100 - 1 = 1339-1=1338 There are 1338 multiples of 100 starting from 324800. However, since 324700 is a legitimate multiple of 100 (because 324721 satisfies the stem) but 458600 is not (458621>458600), we have 1338+1=1339 as the answer. Is there anything incorrect?

2/ I dont understand why Bunuel subtract 324700 from 458600. What does 133900 refer to?

3/ I found this type of question quite challenging. Can anyone post the links to similar gmat problems in which the same concept is tested?

1/ Here is how I approach the problem. Please check if it is correct. Find multiples of 100 between 324,700 and 458,600: (458,600-324,700)/100 - 1 = 1339-1=1338 There are 1338 multiples of 100 starting from 324800. However, since 324700 is a legitimate multiple of 100 (because 324721 satisfies the stem) but 458600 is not (458621>458600), we have 1338+1=1339 as the answer. Is there anything incorrect?

2/ I dont understand why Bunuel subtract 324700 from 458600. What does 133900 refer to?

3/ I found this type of question quite challenging. Can anyone post the links to similar gmat problems in which the same concept is tested?

Thank you very much!

Hi, you are also doing the same thing what has been done in prior solution.. we have to find numbers that have 13 in the end.. 324700 will have 324713.. 324800 will have 324813..

so The number of 100s from 324700 to 458600 is found by subtrcting these two and then dividing by 100.. so difference in numbers= 458600-324700=133900.. How many 100s does it contain 133900/100=1339 each of these 1339 100s has one 13 in it so ans 1339

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

Show Tags

27 Mar 2016, 02:43

Bunuel wrote:

Madelaine88 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 the 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.

Answer: E.

Bunel I understood the concept of for every hundred digits we will have only one digit with tens digit 1 and units digit 3. But The number of digits between 324,700 and 458,600 should be (458,600-324,700)-1=133,900-1=133899. You have calculated it for only 133900 how?

gmatclubot

Re: How many integers between 324,700 and 458,600 have tens
[#permalink]
27 Mar 2016, 02:43

It’s quickly approaching two years since I last wrote anything on this blog. A lot has happened since then. When I last posted, I had just gotten back from...

Since my last post, I’ve got the interview decisions for the other two business schools I applied to: Denied by Wharton and Invited to Interview with Stanford. It all...

Marketing is one of those functions, that if done successfully, requires a little bit of everything. In other words, it is highly cross-functional and requires a lot of different...