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A boy was carrying a basket of eggs. He fell down and some of the eggs were broken. The boy has 10 eggs left with him. When asked by his mother how many eggs were broken, the boy could not recall. However he recalled that when he counted the total number of eggs 3 at a time 1 egg was left. When counted 4 at a time, 1 egg was left and when counted 5 at time a no egg was left. How many eggs were broken?