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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
Correct answer is option 'E'. Can you explain this answer?
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How many integers between 324,700 and 458,600 have tens digit 1 and un...
Approach to solve the problem:

Given:
- Range of integers: 324,700 to 458,600
- Tens digit is 1
- Units digit is 3

Key points:
- The tens digit is fixed as 1, so we need to find the number of integers with units digit as 3 within the given range.

Calculating the number of integers:
- The lowest number within the range with units digit 3 is 324,703 (3 is in units place).
- The highest number within the range with units digit 3 is 458,603.
- To find the count of numbers between 324,703 and 458,603 with units digit 3, we subtract the two numbers (both included).
- 458,603 - 324,703 = 133,900
- However, not all these numbers have tens digit as 1. We need to find numbers where tens digit is 1.
- For the tens digit to be 1, the numbers will be in the form of 1X3, where X can be any digit from 0 to 9.
- So, the total count of integers with tens digit 1 and units digit 3 is 133,900 / 10 = 13,390
Therefore, the correct answer is option E) 1,339.
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How many integers between 324,700 and 458,600 have tens digit 1 and units digit 3?a)10,300b)10,030c)1,353d)1,352e)1,339Correct answer is option 'E'. Can you explain this answer?
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