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Bunuel
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How many integers between 324,700 and 458,600 have tens 18 Oct 2024, 01:47
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MalachiKeti
Hey Bunuel when we are talking about between we are talking about the exclusivity case rigt..where both nos are not included. While it wont matter in this case but the no of integers between the two digits should have been 133899 right?
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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.
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Yes, it doesn’t matter for this question. If it did, a properly worded question would clarify whether it’s inclusive or exclusive by explicitly stating it.
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How many integers between 324,700 and 458,600 have tens 11 May 2025, 10:10
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For these questions the best approach I have seen is to take a small fraction of the number or a standard unit and see how many 1 in tens and 3 in unit digit.

Between 0-100, there is only one occurrence of 13, similarly from 101 to 200 also there is only one occurrence, which is 213 etc etc.

Hence number of 100s between the two numbers will give us the answer. (458600-324700)/100=1339
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How many integers between 324,700 and 458,600 have tens 13 May 2025, 05:42
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The first number that satisfies the condition will be 324713 and the last will be 458513. The frequency of occurrence will be 100 (324713, 325713, 326713...and so on).

Therefore number of integers in series = (Last - First)/Increment + 1 = (458713-324713)/100 + 1 = 1339 (E)
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