Question

A printer numbers the pages of a book starting with 1 and uses 3189 digits in all. How many pages does the book have?

• A. 1000
• B. 1074
• C. 1025
• D. 1080
• E. 1098

Hint:

Memorizing 2889 as the digit count for a 999-page book saves significant calculation time in competitive exams.

Answer 1

The Correct Option is B

Step 1: Analyse options.
- Pages 1-9: $9 \text{ digits}$. - Pages 10-99: $90 \times 2 = 180 \text{ digits}$. - Pages 100-999: $900 \times 3 = 2700 \text{ digits}$. - Total digits for first 999 pages = $9 + 180 + 2700 = 2889$. - Remaining digits = $3189 - 2889 = 300$. - Since next pages have 4 digits: $300 / 4 = 75$ pages. - Total pages = $999 + 75 = 1074$.
Step 2: Conclusion.
The book has 1074 pages. Final Answer: (b) 1074