Question:
In writing all the integers from 1 to 300, how many times is the digit 1 used?
In writing all the integers from 1 to 300, how many times is the digit 1 used?
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When counting the frequency of a digit, break it down by place value (ones, tens, hundreds, etc.) to simplify the calculation.
Updated On: Apr 16, 2025
- 160
- 120
- 140
- 110
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The Correct Option is A
Solution and Explanation
The digit 1 appears in the following positions:
- In the ones place: 1, 11, 21, 31, ..., 291 (30 numbers)
- In the tens place: 10-19, 110-119, 210-219 (30 numbers each)
- In the hundreds place: 100-199 (100 numbers)
Thus, the total number of times 1 appears is:
\[
30 + 30 + 30 + 100 = 160
\]
Hence, the digit 1 is used 160 times.
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