## Nuts

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.

## Lions And Crowns

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.

## Lockers

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 […]

## Monk

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 […]

## Arrange Hurdles and Sheep

In the illustration the matches represent hurdles and the coins/counters are sheep. The sixteen hurdles on the outside, and the sheep, must be regarded as immovable; the puzzle has to do entirely with the nine hurdles on the inside. These nine hurdles enclose four groups of 8, 3, 3, and 2 sheep. The farmer requires to readjust some of the hurdles so as to enclose 6, 6, and 4 sheep. Can you do it by only replacing two hurdles? When you have succeeded, then try to do it by replacing three hurdles; then four, five, six, and seven in succession. […]

## Search for Equilateral Triangle

Example: Find all equilateral triangles within the main triangle where the three vertices of each triangle have the same number or letter as illustrated in the example above. (Hint: There are more than five.)

## For how many days food last?

Many years ago, a cruise liner sank in the middle of the Pacific Ocean. The survivors luckily landed on a remote desert island. There was enough food for the 220 people to last three weeks. Six days later a rescue ship appeared, unluckily this ship also sank, leaving an additional 55 people stranded on the island to now share the original rationed food. The food obviously had to be re-rationed, but everyone was now on one-half of the original ration, so how many days in total would the food last for, from the day of the original sinking?

## Price of a House

Anne purchased a house for $ 127567. She wants to sell it for a profit of exactly 11%. However, she does not want to sell it herself. She wants a Real Estate Agent to sell it for her. The Agent must make a commission of exactly 5.6% (in addition to Ann’s 11% profit). How much must the Agent sell the house for? Give your answer to the nearest dollar

## The Bird And The Train

The distance between Station Atena and Station Barcena is 78 miles. A train starts from Atena towards Barcena. A bird starts at the same time from Barcena straight towards the moving train. On reaching the train, it instantaneously turns back and returns to Barcena. The bird makes these journeys from Barcena to the train and back to Barcena continuously till the train reaches Barcena. The bird finally returns to Barcena and rests. Calculate the total distance in miles the bird travels in the following two cases: 1.The bird flies at 70 miles per hour and the speed of the train […]

## The Great Pizza Deal

The 8″ pizza sells for $ 4.99 at my favorite pizza store. The store claims they have a great deal on the large 12″ pizza, which is specially priced at $ 8.42. What is the per cent discount the store is offering?