a printer number the page of a book starting with 1 and uses 3189 digits in all How many pages dose ...
a printer number the page of a book starting with 1 and uses 3189 digits in all How many pages dose the book have ?
Answer/Solution
1074
Steps/Work
Solution
No of digits in 1-digit page nos. = 1 * 9 = 9 .
No of digits in 2-digit page nos. = 2 * 90 = 180.
No of digits in 3-digit page nos. = 3 * 900 = 2700 .
No of digits in 4-digit page nos. = 3189 - (9 + 180 + 2700) = 3189 - 2889 = 300.
∴ N0. of pages with 4-digit page nos. = (300/4) =75
Hence, total number of pages = (999 + 75) = 1074 .
Answer B
No of digits in 1-digit page nos. = 1 * 9 = 9 .
No of digits in 2-digit page nos. = 2 * 90 = 180.
No of digits in 3-digit page nos. = 3 * 900 = 2700 .
No of digits in 4-digit page nos. = 3189 - (9 + 180 + 2700) = 3189 - 2889 = 300.
∴ N0. of pages with 4-digit page nos. = (300/4) =75
Hence, total number of pages = (999 + 75) = 1074 .
Answer B