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
Can someone please explain to me how to do this kind of problem? Thanks
Answer e
how many integers between
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- rijul007
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How many integers between 324,700 and 458,600 have tens digit 1 and units digit 3?
The integers would be 324713,324813,324913,........,458513
The number of integers = 4585-3247+1 = 1338+1 = 1339
The answer should be E
Are you sure about the answer provided by you? :-/
The integers would be 324713,324813,324913,........,458513
The number of integers = 4585-3247+1 = 1338+1 = 1339
The answer should be E
Are you sure about the answer provided by you? :-/
- adthedaddy
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Hi rijul,rijul007 wrote:How many integers between 324,700 and 458,600 have tens digit 1 and units digit 3?
The integers would be 324713,324813,324913,........,458513
The number of integers = 4585-3247+1 = 1338+1 = 1339
The answer should be E
Are you sure about the answer provided by you? :-/
I agree with you on the 1339 as answer... just clarify one thing -
I subtracted 324713 from 458513 and got it as 1338... why have you added a "1" to 1338 ?
Ofcourse as 1338 is not in the answer list, it has to be 1339 but plz help me with the logic of adding one to 1338.
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Subtracting 324713 from 458513 does not include the integer 324713.adthedaddy wrote: Hi rijul,
I agree with you on the 1339 as answer... just clarify one thing -
I subtracted 324713 from 458513 and got it as 1338... why have you added a "1" to 1338 ?
Ofcourse as 1338 is not in the answer list, it has to be 1339 but plz help me with the logic of adding one to 1338.
Lets say you want the number of integers from 1 to 10.
Number of integers would be 10-1+1. It is incremented by one to include the integer 1.
- adthedaddy
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Thanks for clarifying rijulSubtracting 324713 from 458513 does not include the integer 324713.
Lets say you want the number of integers from 1 to 10.
Number of integers would be 10-1+1. It is incremented by one to include the integer 1.
"Your time is limited, so don't waste it living someone else's life. Don't be trapped by dogma - which is living with the results of other people's thinking. Don't let the noise of others' opinions drown out your own inner voice. And most important, have the courage to follow your heart and intuition. They somehow already know what you truly want to become. Everything else is secondary" - Steve Jobs
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Hi Rijul
You have mentioned :
The integers would be 324713,324813,324913,........,458513
The number of integers = 4585-3247+1 = 1338+1 = 1339
how did you arrive at 4585-3247 ?
COuld you please explain the logic behind this ?
You have mentioned :
The integers would be 324713,324813,324913,........,458513
The number of integers = 4585-3247+1 = 1338+1 = 1339
how did you arrive at 4585-3247 ?
COuld you please explain the logic behind this ?
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Nice question, I want to ask the same question, I am not getting it correctly, please provide the results with proper solution.relations and functionsShalini Suresh wrote:Hi Rijul
You have mentioned :
The integers would be 324713,324813,324913,........,458513
The number of integers = 4585-3247+1 = 1338+1 = 1339
how did you arrive at 4585-3247 ?
COuld you please explain the logic behind this ?
- neelgandham
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324713Shalini Suresh wrote:Hi Rijul
You have mentioned :
The integers would be 324713,324813,324913,........,458513
The number of integers = 4585-3247+1 = 1338+1 = 1339
how did you arrive at 4585-3247 ?
COuld you please explain the logic behind this ?
324813
324913
325013
325113
......
......
458513
Let the first number in the sequence be a1 = 324713, last term = an = a1 +(n-1)* 100
Last term = 458513 = 324713 + (n-1)*100
458513 = 324713 + (n-1)*100
458513 - 324713 = (n-1)*100 - [This is what Rijul simplied, 458513 - 324713 = (n-1)*100; Subtracting 13 from the first term and adding 13 to the second term, 458500 - 324700 = (n-1)*100; 4585 - 3247 = (n-1)]
133800 = (n-1)*100
1338 = n -1
n = 1339
Anil Gandham
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- Brent@GMATPrepNow
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Quick approach:msbelasco 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
First: How many integers are there between (but not including) 324,700 and 458,600?
There are about 133,900 such integers (133,899 to be exact)
We want those integers that end in 13.
Example, 327,913
Now notice that 1 out of every 100 integers will end in 13.
So, of the approximately 133,900 integers in question, 1/100 of then will end in 13.
(133,900)/100 = 1339
Since no other answer choices are very close to 1339, E must be the answer.
Cheers,
Brent