QUESTION

CSAT

Easy

Maths

Prelims 2017

What is the total number of digits printed, if a book containing 150 pages is to be numbered from 1 to 150?

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Explanation

  1. One-digit page numbers (1 to 9):
  • Number of pages: 9
  • Digits per page: 1
  • Total digits: 9×1=99 \times 1 = 9
  1. Two-digit page numbers (10 to 99):
  • Number of pages: 90 (99 - 10 + 1)
  • Digits per page: 2
  • Total digits: 90×2=18090 \times 2 = 180
  1. Three-digit page numbers (100 to 150):
  • Number of pages: 51 (150 - 100 + 1)
  • Digits per page: 3
  • Total digits: 51×3=15351 \times 3 = 153

Total digits used:

  • 9 (one-digit) + 180 (two-digit) + 153 (three-digit) = 342

Therefore, the total number of digits printed is 342.

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