A Basket of Eggs

A woman was carrying a basket of eggs to market when a passerby bumped her. She dropped the basket, and all the eggs broke. The passerby, wishing to pay for the loss, asked:

“How many eggs were in your basket?”

“I don’t remember exactly,” the woman replied, “but I do recall that whether I divided the eggs by 2, 3, 4, 5, or 6, there was always 1 egg left over. When I took the eggs out in group of 7, I emptied the basket.”

What is the least number of eggs that broke?

— Nalin Pithwa

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