Question

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

(A)1040
(B)1048
(C)1049
(D)1050​

Answer 1

Answer:

1049

Step-by-step explanation:

Given  

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

So we can write as

Number of digits in 1 digit page number will be 1 x 9 = 9

Number of digits in 2 digit page number will be 2 x 90 = 180

Number of digits in 3 digit page number will be 3 x 900 = 2700

Number of digits in 4 digit page number will be 3089 – (9 + 180 + 2700)

                                                                      = 3089 – 2889

                                                                      = 200

So number of pages with four digit page numbers will be 200 / 4 = 50

Therefore total number of pages will be 999 + 50 = 1049