How Many EggsMath brain teasers require computations to solve.
Once upon a time, an old lady went to sell her vast quantity of eggs at the local market.
When asked how many she had, she replied: Son, I can't count past 100 but I know that - If you divide the number of eggs by 2 there will be one egg left. If you divide the number of eggs by 3 there will be one egg left. If you divide the number of eggs by 4 there will be one egg left. If you divide the number of eggs by 5 there will be one egg left. If you divide the number of eggs by 6 there will be one egg left. If you divide the number of eggs by 7 there will be one egg left. If you divide the number of eggs by 8 there will be one egg left. If you divide the number of eggs by 9 there will be one egg left. If you divide the number of eggs by 10 there will be one egg left. Finally, if you divide the number of eggs by 11 there will be NO EGGS left! What's the minimum number of eggs that the old lady could have? 
Answer10!+1=3628801 eggs. This is an answer, but not the minimum.The least common multiple of 1 to 11 is 27720. 3628801=27720*130+25201. Therefore, the old lady had at least 25201 eggs. Hide What Next?
Tweet
See another brain teaser just like this one... Or, just get a random 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. Back to Top |
