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!”

How many eggs did the old lady have?

Warning: Use of undefined constant bfa_comments - assumed 'bfa_comments' (this will throw an Error in a future version of PHP) in/home/customer/www/riddledude.com/public_html/wp-content/themes/atahualpa/comments.phpon line132She had 121 eggs.

The reason why is that any other multiple of 11 is divisible by 2,3,4,5,6,7,8,9 or 10.

Thank you for answering this unsolved riddle GentlemanGuessing! Thank you for showing the math for clarification as well.