This morning, Knight had to oversee a delivery of eggs. He had the exact amount of eggs written down on his checklist but he wanted to make sure that this number was true. So he walked up to the merchant and said “Excuse me, but how many eggs are you delivering this morning?”
The merchant scrunched his eyebrows trying to remember but sighed, “I am sorry sir knight but I do not remember the exact amount. However, I did write this note for myself.” He then reached into his pocket and pulled out a wrinkled note. It said...
When the number of eggs is divided by 2, one egg is left over.
Stolen story; please report.
When the number of eggs is divided by 3, one egg is left over.
When the number of eggs is divided by 4, one egg is left over.
When the number of eggs is divided by 5, one egg is left over.
When the number of eggs is divided by 6, one egg is left over.
When the number of eggs is divided by 7, one egg is left over.
When the number of eggs is divided by 8, one egg is left over.
When the number of eggs is divided by 9, one egg is left over.
When the number of eggs is divided by 10, one egg is left over.
When the number of eggs is divided by 11, no eggs are left over.
The exact amount of eggs is the smallest number that meets the above requirements.
Knight looked at his checklist and nodded. “Alright! It matches.” He said to the merchant. “Pleasure doing business.” The merchant said as he left. What number was on Knight’s checklist?