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

Answer is (c). Digits required to print one digit numbers (1 to 9) = 9×1 = 9 Digits required to print two digit numbers (10 to 99) = 90 × 2 = 180 Digits required to print three digit numbers (100 to 999) = 900 × 3 = 2700. So, upto 999 pages we have 2700 + 180 + 9 = 2889 digits. Now from here onwards each number will use 4 digits and we are remaining with 3089 - 2889 = 200 digits. So 200/4 = 50 more numbers are there. i.e., 999 + 50 = 1049 pages in the book.