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If you write down all the numbers from 1 to 100, then how many times do you write 3 ?Options11202118

Question

If you write down all the numbers from 1 to 100, then how many times do you write 3 ?

Options:

  • 1
  • 2
  • 20
  • 18
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Solution

To solve this problem, we need to consider the numbers from 1 to 100 and count how many times the digit '3' appears.

  1. First, consider the tens place. The digit '3' will appear in the tens place 10 times for every 100 numbers (i.e., 30-39, 130-139, etc.). Since we are only considering numbers from 1 to 100, '3' will appear 10 times in the tens place.

  2. Next, consider the ones place. The digit '3' will appear in the ones place once for every 10 numbers (i.e., 3, 13, 23, etc.). Since we are considering numbers from 1 to 100, '3' will appear 10 times in the ones place.

  3. Add the number of times '3' appears in the tens place and the ones place. 10 (from the tens place) + 10 (from the ones place) = 20.

So, the digit '3' appears 20 times in numbers from 1 to 100.

This problem has been solved

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