A printer numbers the pages of a book starting with 1 and uses 3189 digits in all. How many pages does the book have?
FPSC 5 Years Past Papers Subject Wise (Solved With Details) / All — Multiple-choice practice
- A. None of these
- B. 1074
- C. 1073
- D. 1072
Correct answer
1074
Explanation
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 .
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