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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

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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.

  1. 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.

  2. 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.

  3. 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.

This problem has been solved

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