QUESTION

CSAT

Medium

Maths

Prelims 2019

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

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Explanation

The single-digit page (From 1 to 9) = 99 digit Double digit page (From 10 to 99) = 2×90=1802 \times 90 = 180 digit Three digit page (From 100 to 999) = 3×900=27003 \times 900 = 2700 digit Total digit used = 9+180+2700=28899 + 180 + 2700 = 2889 The remaining digit = 30892889=2003089 - 2889 = 200 The number of page with four digits = 2004=50\frac{200}{4} = 50 The required number of total page = 999+50=1049999 + 50 = 1049

The required result will be 10491049.

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