ANAGRAM.

Evening Post, Volume CXVII, Issue 71, 24 March 1934, Page 7

ANAGRAM.

In the lines given below the three spaces are to be filled -with -words composed of the same four letters. Yes, here is your album, I've -written some lines, Perhaps rather more than enough; I wish you could '■ — -what I thought I could -write, You'd find it much handsomer stuff. I know you -won't judge me by what I turn out, friend, if you followed that rulo In taking account of my feelings for vou> ..'.', You'd think me impossibly cool. There's one law of nature, I to believe You've easily managed to' find, That what a man gets down on paper at last Is not what he had in his mind. COUNTING SHEEP. Mr. Dullard's boy, who is, forsooth, a great arithmetician, says that the number of sheep in the roadside paddock of his father's farm is one more than the number of chains in the diagonal of the paddock. The paddock is rectangular in shape, and its length is one chain more than its width. Mr. Dullard says that; all he knows about it is that the paddock is carrying five sheep to every seven acres., Readers are invited to discover how many sheep there were. There appears to be o-nly one solution applicable. '■■ " BIRTHDAY GREETINGS. Mr. Whitehead was very pleased on the occasion of his 80th birthday, when his three grandsons came 20 miles to visit him. Still he was a little puzzled to see them all arrive on foot, as'he knows them to be enthusiastic cyclists. Possibly the explanation may have been that the boys had designs on obtaining some assistance in a business matter, namely the ■ purchase of three new bicycles, for somehow or other all three had met with misfortune on the way owing to their old worn-out bicycles breaking down. Aleck had ridden at 12 miles per hour and had walked; at 4 miles'per hour. Bill had ridden at 9 miles per hour, and had walked at 3 miles per hour. Charles had ridden at 8 miles per hour, and had walked at 2. miles per. hour. Yet they had all taken the same time on their journey, namely four hours, and had travelled by. the same road, by which the distance is twenty miles. It will be seen thus that the portions of the journey walked and cycled by each of-the three boys'was different from the others, and readers are invited to discover how much each of them had walked and riilden. . ' ARMCHAIR PROBLEMS. Mrs. Somebody was asked what is the date of her birthday, and to this she replied: Ten times the number of days before- it is equal to three times the number of days after it. She refers to the present year, which is not a leap year. What is the date of her birthday? ..,'■..' A gentleman, /who had bought a small section' of land in a new suburb and intended to build on it at once, let two contracts. The first was for clearing the land and levelling it, and for this the contractor wanted four pence for every ■ square yard. The second was for erecting a fence round the section, and this man required three shillings for every yard of: fencing. When the money had to be. paid, each man received the same amount. If the section was a perfect square, of what size was it? ■ The charge for postage on inland parcels is sixpence for the first pound, and twopence extra for each auditional pound or fraction thereof up to ten pounds. A certain person was sending two parcels of equal weight to the same address, and he was advised to wrap them both in another- sheet of paper, so that they became one parcel.; "By doing this he saved sixpence in postage. What were the ' weights of '.the two parcels. LOAN OF A BICYCLE. A :boy has borrowed a bicycle from a friend and promised to return iti To do this he: has to- ride to his friend's house, and walk from there to the nearest ■ railway station, from which he can get a train to bring him'home. He can ride three times as fast as he can -walk, and the distance to his friend's house is eight times as great as the distance of that • house from the railway station:. These distances and the numbers of miles travelled per hour are all'whole numbers. The boy allows himself 1 hour 50 minutes from the- time he starts to the time the train'is due at the station. What are the times, he spends on the two stages of the journey? ANOTHER COMBINATION XOCK PROBLEM. With reference to the problem of the combination lock, given in this column on February 17, a correspondent points out that the opening of the lock would not be left entirely to the laws of chance, because if even a small part of the key-word had been set up, the remainder could be guessed. The following problem of a purely nonmathematical kind has been devised to give readers the opportunity to judge whether they -could have succeeded in opening the lock. To recapitulate the details:. The cyclinder is divided into eight equal t cylinders, each of which rotates independently of the others, and each has .eight letters engraved on it. Each of these cylinders must be turned so' that one of these letters is brought opposite an index, and the eight letters thus selected" and brought into line form the key-word. The letters on the eight cylinders are: (1) FRANCEPH. (5) ATTRACTS. (2) CAPTIOUS. (6) INDIGENT. (3) EXTERNAL. (7) ORNAMENT. (4) CEREBRAL.- (S) HEAVENLY. SOLUTIONS. Railway Ticket.—Fifteen shillings. I Substitution.—9326 plus 8264 equals! 17^90. ■ . " j Revised Version.—The numbers of i pounds were: 3, 6/9, 12, 15, 18, 21, and 24. '- Meteorologists.—The number is 'to 4.32 as 25 is to 36, which shows that there were 3 persons present. Armchair Problems.—(l) 3451b, then 1151b at 22d equals £10 10s lOd. (2) 2341b" then 2301b at lid, equals £10 10s lOd, as before. (3) Nine times 8 are 72, and 9 times 7 are 63, and these' are the numbers of miles required. Time-table Problem.— There are 70 ways of arranging the journey. It makes an interesting variation of this puzzle to introduce the condition that travellers at the end of the railway journey shall proceed by the first bus available. The problem then offered is to discover what effect this has on the number ■ given above. It is not difficult, ana the answer is that the previous number of arrangements is exactly halved. - .' ~' •' ■ :■'■'