Brain Teasers
World Almanac
I am compiling the new world almanac and it now contains lots more pages. I know that it takes 333 digits to print the page numbers in sequence. How many numbered pages does the book have and how many times does the number 3 appear?
Answer
1-9: 9 digits, number 3 appears once;10-99: 180 digits, number 3 appears 19 times;
333-9-180=144, 144/3=48.
In 100-147, number 3 appears 15 times.
Therefore, there are 147 pages and the number 3 appears 35 times.
Hide Answer Show Answer
What Next?
View a Similar Brain Teaser...
If you become a registered user you can vote on this brain teaser, keep track of which ones you have seen, and even make your own.
Solve a Puzzle
Comments
Jun 14, 2008
I think you counted 33 and 133 twice, the number of 3's should be 33 not 35, if I'm not mistaken...
3, 13, 23, 30s, 43, 54, 63, 73, 83, 93, 103, 113, 123, 130s, 143 makes 33 times!
Then I realized I forgot the extra 3 in 33 and 133. Thus 35 is the correct total! Nice job panther!
Wow, very nice puzzler indeed! Kudos for making SourDough use his mind!
$D
$D
To post a comment, please create an account and sign in.
Follow Braingle!