Question

A librarian used 2893 digits to number the pages of a book. How many pages does the book have?

• A. 973
• B. 998
• C. 1000
• D. 1001

Answer 1

The correct option is C

1000

As we know, number of digits each for 0 to 9 is 1,
Similarly, number of digits each for 10 to 99 and 100 to 999 are 2 and 3 respectively.

So, total number of digits till page number 999,
$=\left(\right(9-0)\times 1)+\left(\right(99-9)\times 2)+\left(\right(999-99)\times 3)=9+(90\times 2)+(900\times 3)=2889$

The next page number will be 1000, so total number of digits $=(2889+4)=2893$
Or number of pages in the book = 1000.