A printer numbers the pages of a book starting with 1 and uses 3189 digits in all. How many pages does the book have ?
A. 1000
B. 1074
C. 1075
D. 1080
Answer: Option B
Solution(By Examveda Team)
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.
This Question Belongs to Competitive Reasoning >> Arithmetic Reasoning
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Why have you added 75 to 999,I didn't understand that please explain