Question

How many digits are required to number the pages of a book having 200 pages?

• A. $200$
• B. $400$
• C. $450$
• D. $492$

Answer 1

The correct option is D $492$

$9$ pages from $1$ to $9$ will require $9$ digits;
$90$ pages from $10$ to $99$ will require $90\times 2=180$ digits;
$200-(90+9)=101$ pages will require $101\times 3=303$ digits.
$\therefore$ The total number of digits required is $9+180+303=492$.