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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]
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."

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

Re: How many integers between 324,700 and 458,600 have tens digi [#permalink]
09 Apr 2013, 02:33

Expert's post

Perhaps wrote:

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

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]
16 Jun 2014, 02:40

Hello from the GMAT Club BumpBot!

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Re: How many integers between 324,700 and 458,600 have tens [#permalink]
26 Jun 2014, 07:20

Expert's post

GGMAT730 wrote:

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.

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. _________________

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