1. A cowboy had three sons, he had a ranch with 19 cattles. When he die his will stated that the elder son will get half of it, the second son will get quater of it and the youngest son will get one fifth of it. How is that possible? How many cattles did each son get?
2. A cowboy had four horses, A, B, C, D.
He wanted to bring them across the river. He can ride on one and pull another one.
A can cross the river in 1 min.
B can cross the river in 2 mins.
C can cross the river in 5 mins.
D can cross the river in 10 mins.
The time taken will depend on the slower of the two horses.
The fastest way seem to be:
A + B = 2
A = 1
A + C = 5
A = 1
A + D = 10
2 + 1 + 5 + 1 + 10 = 19 mins.
If I told you that I can do better than that, will you believe me? How is that possible?
3. You got eight eggs, one of them is bad. The bad egg will be lighter than the rest. You have a balance, you can put any numbers of eggs on both side to see if they balanced. But you can only use the balance twice. How are you going to find the bad egg?
4. You got eight eggs, one of them is different from the other. You do not know whether it is heavier or lighter than the rest. You have a balance, you can put any numbers of eggs on both side to see if they balanced. But you can only use the balance three times. How are you going to find the odd egg?
5. You have ten bags of marbles, nine bags contain marbles that weight 10 g each, 1 bag contains marbles that weight 11 g each. You have a weighing machine and you can remove any amount of marbles from any bags and weight them for one time and you are suppose to know which bag contain the heavier marbles just from the result of the weighing. How do you do that?
