Consider all the numbers between 2 to 124 inclusive, how many times does the digit “2” appear?A28B27C39D26
Question
Consider all the numbers between 2 to 124 inclusive, how many times does the digit "2" appear?
A) 28
B) 27
C) 39
D) 26
Solution
To solve this problem, we need to count how many times the digit "2" appears in each position (units, tens, hundreds) from 2 to 124.
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Units position: The numbers from 2 to 124 are divided into 13 groups, each group has 10 numbers (0-9). In each group, "2" appears once in the units position. So in the units position, "2" appears 13 times.
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Tens position: The numbers from 20 to 29, 120 to 124 have "2" in the tens position. So in the tens position, "2" appears 15 times.
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Hundreds position: The numbers from 100 to 124 have "2" in the hundreds position. So in the hundreds position, "2" appears 25 times.
Adding these up, the digit "2" appears 13 (units) + 15 (tens) + 25 (hundreds) = 53 times.
So, none of the options A, B, C, D are correct. The correct answer should be 53.
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