Question

On a narrow bridge , two carts are passing and one of those carts containing eggs on it but while passing both the carts crashed each other and the eggs fall and broken down. Then, both the cartsmen walk away to the general head of the market and the egg seller told all the story and requested the general head to take the money from the another cartsmen and repay him for the broken eggs. On hearing him , general head asked him that how many eggs were there on his cart ,he told if the no. Of eggs were divided by 2 then 1 egg remains, when divided by 3,2 are left when divided by 4,3 are left when divided by 5,4are left when divided by 6,5 are left, when divided by 7, leaves no egg. Find the no. Of eggs on the cart of the seller, if the cart can contain only 400 eggs

Answer 1

If counted in 7, a = 7p+0

If counted in 6, a = 6q+5

If counted in 5, a = 5w+4

If counted in 4, a = 4s +3

If counted in 3, a = 3t+2

If counted in 2, a = 2u+1

By trail and error method, he had 119 eggs