Part 39

THE JEW “JEWED.”

243. An old Jew took a diamond cross to a jeweller to have the diamonds re-set, and fearing that the jeweller might be dishonest he counted the diamonds, and found that they numbered 7 in three different ways. Now, the jeweller stole two diamonds, but arranged the remainder so that they counted 7 each way as before. How was it done?

7 6 7 6 5 6 7 4 3 2 1

244. A person wishing to enclose a piece of ground with palisades found that if he set them a foot apart that he should have too few by 150, but if he set them a yard apart he should have too many by 70. How many had he?

245. A mechanic is hired for 60 days on consideration that for each day he works he shall receive 7s. 6d., but for each day he is idle he shall pay 2s. 6d. for his board, and at the end he receives £6. How many days did he work?

246. Take one from nineteen and leave twenty.

THE CAMEL PROBLEM.

247. An Arab Sheik, when departing this life, left the whole of his property to his three sons. The property consisted of 17 camels, and in dividing it the following proportions were to be observed:--

The oldest son was to have one-half of the camels, the second son one-third, and the youngest son one-ninth; but it was provided that the camels were not, on any account, to be injured, but to be divided as they were--living--between the three sons.

Thereupon, a great argument ensued. The eldest son claimed 8½ camels. The second insisted upon receiving 5⅔ of a camel; while the youngest son would not be comforted with less than 1-8/9 of a camel. The Cadi (or Judge) happened to appear on the scene. To him the matter was explained. Without a moment’s hesitation he gave his decision--a decision by which the claims of all three contestants were fully satisfied.

How did the Cadi settle this knotty question?

248. A grocer has 6 weights--each one twice as much as the one before it in size. If he weighed the first five against the largest, it (the largest) would only be 2 lbs. heavier than the combined weights of the rest. What are the weights?

249. A squatter said to a new manager, whom he wished to test in arithmetic: “I have as many pigs as I have cattle and horses, and if I had twice as many horses I should then have as many horses as cattle, and I should also have 13 more cattle and horses than pigs.” How many of each had he?

250. A gentleman a garden had, five score long and four score broad; A walk of equal width half round he made, which took up half the ground-- You skilful in Geometry, tell us how wide the walk must be.

Feet.

251. Two boys, meeting at a farmhouse, had a mug of milk set down to them; the one, being very thirsty, drank till he could see the centre of the bottom of the mug; the other drank the rest. Now, if we suppose that the milk cost 4½d., and that the mug measured 4 inches diameter at the top and bottom, and 6 inches in depth, what would each boy have to pay in proportion to the milk he drank?

Weight-for-Age Problem.

252. There are 6 children seated at a table whose total ages amount to 39 years. Tom, who is only half the age of Jack (the oldest) is seated at the top, with Bob--who is a year older than him--next; whilst Fred, who is four-fifths the age of Jack, is at the foot with James, who is 1 year younger than Jack, next, him; the youngest, who is a baby, is one-eighth the age of her brother Fred. Find the ages of each, and weight of Fred, and by placing him third from the top his initial and surname. You must express the ages in words, and use the initial letters.

253. A flagstaff there was whose height I would know, The sun shining clear straight to work I did go. The length of the shadow, upon level ground, Just sixty-five feet, when measured I found; A pole I had there just five feet in length-- The length of its shadow was four feet one-tenth How high was the flagstaff I gladly would know; And it is the thing you’re desired to show.

254. Put 4 figures together to equal 30, and the same figures to equal 40.

255. A Salvation Army captain took up a collection, his lieutenant took up another; if what the captain took up was squared and the lieutenant’s added the sum would be 11d.; if what the lieutenant took up was squared and the captain’s added the sum would be 7d. What was the amount of the collection?

256. Find a number which, if multiplied by 17, gives a product consisting only of 3’s.

THE “FOWL” PROBLEM.

257. If a hen and a half lay an egg and a half in a day and a half, how many eggs will 6 hens lay in 7 days?

258. Tom and Bill work 5 days each. Tom has as much and half as much per day as Bill. The total amount of their wages for the 5 days is £1 17s. 6d. What are their respective wages per day?

259. How many ¼ inch cubes can be cut out of a 2½ inch cube?

260.

miles. furl. po. yds. ft. in. From 1 0 0 0 0 0 Subtract 7 39 5 1 5 ------------------------------