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How many integers between 234700

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How many integers between 234700

by CrackGMAC » Thu Aug 27, 2009 7:55 am
How many integers between 234700 and 458600 have tens digit 1 and units digit 3?
A 10300
B.10030
C 1353
D 1352
E 1339

I am not sure whether the no.s are correct. I just want to know the way to solve this problemIf you have something simillar pls share.
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by bharathh » Thu Aug 27, 2009 12:56 pm
None of the answer choices look correct.

There will be one integer per hundred integers with units digit 3 and tens digit 1.

There are 223700 integers between the two big numbers. So there should be 2237 integers that meet the condition.
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by heshamelaziry » Thu Aug 27, 2009 6:11 pm
bharathh wrote:None of the answer choices look correct.

There will be one integer per hundred integers with units digit 3 and tens digit 1.

There are 223700 integers between the two big numbers. So there should be 2237 integers that meet the condition.

Could you please explain how you got 2237 from 223700 ???
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by winnerhere » Fri Aug 28, 2009 12:18 am
For me the answer sums upto 1504
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by CrackGMAC » Fri Aug 28, 2009 8:00 am
Can you please explain winnerhere?
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by m&m » Fri Aug 28, 2009 8:45 am
between 234700 and 458600

you will have
234713
234813
234913
...
458513
458613 X this number is greater so stop at previous


So for every hundred you will have a digit of 13 at the end. So 4586 - 2347 will give you the number of HUNDREDS between them = 2239

now you need to subtract 1 because 458613 is counted in the 4586 hundred

so answer is 2239-1=2238

Hope this helps
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by heshamelaziry » Fri Aug 28, 2009 10:19 am
m&m wrote:between 234700 and 458600

you will have
234713
234813
234913
...
458513
458613 X this number is greater so stop at previous


So for every hundred you will have a digit of 13 at the end. So 4586 - 2347 will give you the number of HUNDREDS between them = 2239

now you need to subtract 1 because 458613 is counted in the 4586 hundred

so answer is 2239-1=2238

Hope this helps
Thanks for the explanation. when it says ten digit 1 and unit digit 3 I say 31, is this correct ? if yes, what is the number that meets this condition between 100 and 200 per say ?
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by winnerhere » Fri Aug 28, 2009 10:49 am
CrackGMAC wrote:Can you please explain winnerhere?
oops.I used a wrong logic here.The other guys have given the perfect answer :)
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by m&m » Fri Aug 28, 2009 12:44 pm
heshamelaziry wrote:
Thanks for the explanation. when it says ten digit 1 and unit digit 3 I say 31, is this correct ? if yes, what is the number that meets this condition between 100 and 200 per say ?
the order goes

hundreds, tens, units = 100s, 10s, 1s
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by bdoug » Fri Aug 28, 2009 1:01 pm
I'm going to agree with m&m with one exception. I do not believe you should subtract 1 from your answer and here's why:

Take two numbers much closer, lets say 458300 and 458600, now subtract the first from the second to get 300 and divide that by 100 to get the number of hundreds = 3.

We can easily see that this is correct without subtracting 1....

458313,458413, and 458513
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by heshamelaziry » Fri Aug 28, 2009 1:22 pm
bdoug wrote:I'm going to agree with m&m with one exception. I do not believe you should subtract 1 from your answer and here's why:

Take two numbers much closer, lets say 458300 and 458600, now subtract the first from the second to get 300 and divide that by 100 to get the number of hundreds = 3.

We can easily see that this is correct without subtracting 1....

458313,458413, and 458513
You are correct in this case, but consider 9-5=4 , here one digit of the answer is the digit 9 !!!!

AM I RIGHT. Please explain.
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by sanjana » Sat Aug 29, 2009 5:10 pm
heshamelaziry wrote:
m&m wrote:between 234700 and 458600

you will have
234713
234813
234913
...
458513
458613 X this number is greater so stop at previous


So for every hundred you will have a digit of 13 at the end. So 4586 - 2347 will give you the number of HUNDREDS between them = 2239

now you need to subtract 1 because 458613 is counted in the 4586 hundred

so answer is 2239-1=2238

Hope this helps
Thanks for the explanation. when it says ten digit 1 and unit digit 3 I say 31, is this correct ? if yes, what is the number that meets this condition between 100 and 200 per say ?

I have a small question here. When the question just says "between a & b" d we assume exclusive of a & b ?
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by heshamelaziry » Sat Aug 29, 2009 8:38 pm
sanjana wrote:
heshamelaziry wrote:
m&m wrote:between 234700 and 458600

you will have
234713
234813
234913
...
458513
458613 X this number is greater so stop at previous


So for every hundred you will have a digit of 13 at the end. So 4586 - 2347 will give you the number of HUNDREDS between them = 2239

now you need to subtract 1 because 458613 is counted in the 4586 hundred

so answer is 2239-1=2238

Hope this helps
Thanks for the explanation. when it says ten digit 1 and unit digit 3 I say 31, is this correct ? if yes, what is the number that meets this condition between 100 and 200 per say ?

I have a small question here. When the question just says "between a & b" d we assume exclusive of a & b ?
Yes it is excusive
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