Question

A printer numbers the pages of a book starting from $1$ and uses a total $1089$ digits in all. How many pages does the book have?

• A. $418$
• B. $399$
• C. $520$
• D. None of these

Answer 1

Answer: (B)

$399$

No. of digit used for page number $1$ to $9=9$
No. of digit used for page no. $10$ to $99$

$=90\times 2$
$=180$

No. of digit used for page no. $100$ onwards

If $x$ pages are printed $=x\times 3=3x$
Total digit used are $1089$
$\therefore 3x+180+9=1089$
$\Rightarrow 3x=900$
$\Rightarrow x=300$
No. of pages books have $=99+300$

$=399$ Pages