Question

For numbering the pages of an encyclopedia the printer used 2989 digits. How many pages did the book contain?

• A. 924
• B. 996
• C. 1024
• D. 1009

Answer 1

The correct option is C 1024

Page no: $1-9:9$ digits
Page no: $10-99:90\ast 2$ digits $=180$
Page no: $100-999:900\ast 3$ digits $=2700$
Page no: $1000-y:x\ast 4$ digits $=4x$
Total $=9+180+2700+4x=2989$
Hence, $x=25$ and $y=1024$