INTELLECT SHARPENERS

Otago Daily Times, Issue 22325, 27 July 1934, Page 6

INTELLECT SHARPENERS

Written for the Otago Daily Times. By C. J. Wherefore. [Correspondence should be addressed to Box 1177, Wellington.] ANAGRAM. In the lines given below the two spaces are to be filled with two words composed of the same four letters. Somebody bought an album. Somebody held the view, That and every page inside Should show an original verse supplied By some good friend she knew. Come to my house and see mo, Some day very soon, _ Have some ten, and be mco to me, Any old afternoon, * Somebody’s filled her album, Every page a gem, How many friends had an in the head, . ■ , If not in the heart it might well be said, In writing the whole of them? Come to my house and read them, Some day very soon, So I'm allowed to be one of the crowd, Any old afternoon. A BIRTHDAY PRESENT. A gentleman gave his granddaughter a birthday present of one pound for every year of her age, one shilling for every year of her mother’s age, and one penny for every year of his own age. At first ho had intended to give her merely one shilling for every year of all three ages taken together, which would have amounted to ten ©hillings more than an exact number of guineas, but when he changed his plan it # cost him just one guinea more than this. Can readers say what were the three ages? As usual in these problems, fractions of years are not used. A SUBSTITUTION PROBLEM. This problem is similar to others that have been given in this column before. Numerals have to be written m place of the letters, so that the result is a sum in addition, and no two letters have the same numerical value. BEES MAKE HONEY. ARMCHAIR PROBLEM. Mr Black and Mr Grey have been applying statistical methods to a very simple matter, namely, that of supplying their children with shoes. One conclusion they seem to have reached is that seven girls could be supplied with shoes for the same amount of money as five boys could. Iheir wives have been comparing the sums of money actually spent on shoes f°r their children, and they say that Mrs Blacks bills exceed those of her friend by 10 pence in every pound spent by the latter. How many boys and girls are there in the two families? '. Three pennies weigh one ounce, and tins is also the weight of five halfpennies. A man was offered his choice t of two envelopes, each of which weighed seven ounces and contained both pence and haltpence. The only information given was that in one envelope the numbers of each coin were multiples of five and that in the other they were multiples of three. Me expressed the opinion that it was not worth while making a careful selection, because he could not lose more than a haltpenny by taking the less profitable package. Was he correct in making this stateTom has climbed most of the trees in tbe garden where he lives, but there are a few which he finds too difficult. His younger brother, Henry, has Jailed to climb two of the trees with which lorn has been successful. There is a younger brother, Claude, who also likes climbing, but he cannot manage four of the trees which Henry has tackled. Tom says that the number of trees which he himself cannot climb is equal to the number which Henry has been able to climb. CTlow many trees are there in the garden?

A CRIMINAL’S CIPHER, A thief had accomplished a successful smash-and-grab raid, and had escaped with some valuable jewellery. The police visited, his house, and questioned Ins wife, who wag believed to be assisting him, but she denied all knowledge of her husband's movements. They ■disbelieved hhr, and kept a watch over her, with the result that one day she was seen receiving a letter at the delivery counter at the Post Office. She was followed to a tea shop, where she read the letter and, while doing so, she wrote several words on the back of the envelope. When she came out of the shop she was arrested; and the letter, with its envelope, was taken from her. As a result of examining these, the police found the stolen property hidden in her house, and that evening after dark they proceeded to a seaside suburb, where they found thq man they wanted hiding in a cottage supposed to be untenanted. The problem is to find how the police obtained this information from the letter, which contained only the following 29 words:— Friday, July 27.—House goes under bring along beach road in the old car loose nuts require tightening board and lodging cost money black stove in clean white kitchen. The words which the recipient bad written on the envelope when studying the letter were as follows; It seems a shame, the walrus said, To play them such n trick, After we’ve brought them out so far, And made them trot so quick. The carpenter said nothing but— This butter’s spread too thick. SOLUTIONS OF LAST WEEK’S PROBLEMS. Word Change.—Wind, wild, will, wall, call, calm. Lunch.—There were 87 persons instead of 90, and the charge was one shilling each instead of eighteenpenee. Armchair Problem. — (I) The number of sheep in the third truck must have been 57, therefore there were 55 ami 60 in the other two. (2) £ls could he shared by CO members,, but £l4 19s lld would give 5s and Id to each of 59 members.

Lost Purse. —He read 54 pages in 24 minutes, and he read 45 between the time when the purse was dropped and the time of arrival at B. By simple proportion this would take 20 minutes. Again, by proportion the train travelled 51 miles in 68 minutes, and during the 20 minutes stated it would go 15 miles, so that this was the distance from B at which the purse was lost. Cakes.—Write A, B, C, D, for the four varieties, of which A has the lowest price and 1) the highest. Then there arc nine customers whose selections are: — ABC. ABD, A CD. BCD. BC, BD. CD, C, D. It is also possible to pell 15s worth to eight cuestomers and 10s worth to five customers, and these may be offered ns interesting variations of this problem.