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A printer numbers the pages of a book starting with 1 and uses 3189 digits in all .How many pages does the book have ????


kratikapatni2112 28th Apr, 2020
Answer (1)
Manidipa Kundu Student Expert 28th Apr, 2020

hi,

taking Pages  1–9, every page will be a single digit  page number , so there is

1*9 = 9 digits

from pages 10-99, 2 digit page number will show, so total of digits is 2*90=180.

from page 100-999, there is three digit page number, so total digit is =3*900=2700.

totals digit used= 2700+180+9= 2889.

so remaining digita= 3189-2889= 300,

now 300/4 for remaining pages comes to 75,

so total page is = 9+90+900+75= 1074.

:)


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