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The total number of digits used in numbering the pages of a book having 336 page...


Question

The total number of digits used in numbering the pages of a book having 336 pages is:

Options

A) 732

B) 990

C) 1098

D) 1305

The correct answer is B.

Explanation:

Note the digit numbering is from 1 to 366
The number of digit 1 is from 1 to 9
That is 9-1 = 8 + 1 = 9 × digit 1 = 9
Number of digit 2 is from 10 to 99
That is 99 - 10 = 89 + 1 = 90 × digit 2 = 180
Number of digit 3 is from 100 to 366
That is 366 - 100 = 266 + 1 = 267 × digit 3 = 801
Total digit used = digit no 1 + digit no 2 + digit no 3
= 9 + 180 + 801
= 990. That is it.

Explanation provided by Timothy Godspower


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Discussion (2)

  • Note the digit numbering is from 1 to 366
    The number of digit 1 is from 1 to 9
    That is 9-1 = 8 + 1 = 9 × digit 1 = 9
    Number of digit 2 is from 10 to 99
    That is 99 - 10 = 89 + 1 = 90 × digit 2 = 180
    Number of digit 3 is from 100 to 366
    That is 366 - 100 = 266 + 1 = 267 × digit 3 = 801
    Total digit used = digit no 1 + digit no 2 + digit no 3
    = 9 + 180 + 801
    = 990. That is it.

    1. Esther

      But the question says 336

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