Three boys were given a bag of nuts as a Christmas present, and it was agreed that they should be divided in proportion to their ages, which together amounted to 17½ years. Now the bag contained 770 nuts, and as often as Herbert took four Robert took three, and as often as Herbert took six Christopher took seven. The puzzle is to find out how many nuts each had, and what were the boys’ respective ages. UA-21415428-1
The young lady in the illustration wishes to cut that square piece of valuable material into four parts, all of exactly the same size and shape Every piece shall contain a lion and a crown. The cuts can only be made along the lines dividing the squares. Can you show her the way? There is only one possible method of cutting the stuff.
A man had in his office three cupboards, each containing nine lockers, as shown in the diagram. He told his clerk to place a different one-figure number on each locker of cupboard A, and to do the same in the case of B, and of C. As we are here allowed to call nought a digit, and he was not prohibited from using nought as a number, he clearly had the option of omitting any one of ten digits from each cupboard. Now, the employer did not say the lockers were to be numbered in any numerical order, and he […]
There is a river with an island and five bridges. On one side of the river is a monastery, and on the other side is seen a monk in the foreground. The monk has decided that he will cross every bridge once, and only once, on his return to the monastery. This is, of course, quite easy to do, but on the way he thought to himself, “I wonder how many different routes there are from which I might have selected.” Could you have told him? You will find that the difficulty is twofold: you have to avoid dropping routes […]