Question

Question: The pages of a book are numbered consecutively, beginning with 1. The digit 7 is

printed 25 times in numbering the pages. What is the largest number of pages the
book can have?

Answer 1

975

Explanation:

The largest number of pages the book can have is 975 because the maximum number of times the digit 7 can appear in the page numbers is 25. The maximum number of pages is obtained when the page numbers range from 100 to 999, inclusive, which would result in the digit 7 appearing 25 times.