A printer numbers the pages of a book starting with 1

A printer numbers the pages of a book starting with 1 and uses 3089 digits in all. How many pages does the book have?

  1. 1040
  2. 1048
  3. 1049
  4. 1050

Answer

Single digit pages (from 1 to 9) = 9 digits

Double digit pages (from 10 to 99) = 2 × 90 = 180 digits

Three digit pages (from 100 to 999) = 3 × 900 = 2700 digits

Total digits used = 9 + 180 + 2700 = 2889

Digits left = 3089 - 2889 = 200

Number of pages with four digits = 200/4 = 50

Required number of total pages = 999 + 50 = 1049

The correct option is C.