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 racalled that when 1 egg was left, he counted 3 at a time. When counted 4 at a time, 1 egg was left and when counted 5 at a time, no egg was left. Minimum how many eggs were broken?