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

Logical Reasoning(Master ) Arithmetical Reasoning

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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 ?

1000

1074

1075

1080

1085

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Explanation:

No. of digits in 1-digit page nos. = 1x9 = 9.
No. of digits in 2-digit page nos. = 2 x 90 = 180.
No. of digits in 3-digit page nos. = 3 x 900 = 2700.
No. of digits in 4-digit page nos. = 3189 - (9 + 180 + 2700)
= 3189 - 2889 = 300.
Therefore No. of pages with 4-digit page nos. = (300/4) = 75.
Hence, total number of pages = (999 + 75) = 1074.