INTELLECT SHARPENERS

New Zealand Herald, Volume LXXIII, Issue 22320, 18 January 1936, Page 5 (Supplement)

INTELLECT SHARPENERS

By C J. WHEREFORE

NON-MATHEMATICAL PROBLEM John, Arthur, Mabel and Lucy, two brothers and two went to a restaurant for dinner. For the first course they had the choice of three dishes, roast lamb with green peas, roast beef, and roast pork with apple sauce. For tho second course there were also three to choose from, sultana pudding, apple pie and blancmange with jelly. Tho problem is to find which dishes were chosen by the four persons named, and tho following clues are : given. They sat at a square table with seats for only four persons. Tho men did not read the menu, when they came to the. second course, because each of them had already made up his mind to havo the same kind of food the sister sitting opposite to him. From this it will be realised that the girls finished their first course before the men, and Mabel did so before Lucy, because she did not like what she had. They all said they wondered whether the "apple sauce and the ingredient of the pio had been cooked in the same saucepan, but they had no opportunity of comparing them, because they did not see both 011 their own table. Mabel does not like suet puddings. When they were leaving the place, John made a facetious remark about the peas, which they saw 011 the next table, that they did not seem to be very green, and were evidently not of this season's growing. When Mabel asked for blancmange she was told it was "off." Lucy said the pastry had baking powder in it, and tasted like a home-made soda loaf. What did each of these four people order for dinner? SUBSTITUTION In tho lines given below letters have been written in place of numerals. The problem is to replace these with numerals, so that the result is a sum in simple addition. Then, to make a nonmathematical puzzle, shuffle all letters, add F, and rearrange them so as to make the name of a book, from which these 13 letters have been obtained. The definite article has been omitted from this name. GL E N LA X D C 0 A L SCHOOL AND THE RACES "1 did not get many marks for my examination paper, only a few more than half the possible number," said Tom. "My father had a good deal to say about it, but the fact is that he was not in tho best of tempers. Ho had been to the races, and had lost money, but not much, really. My marks amounted to three times as many pounds and 13 more on tho top of that. But lie won quite a lot 011 tho first race, and if he had stopped risking his money after that, and had come home to toll us how much he had won, he would have been in a much more cheerful state of mind. Then ho would have felt that my marks were four times as many as the number of pounds he bad won and four-more added to that." How many marks did Tom get, and how many pounds did his father win on the first race and lose on those which I came afterwards P I

PIGS ON THE ROAD A motorist stopped at 3 supply station to obtain petrol, and remarked to the man in charge: "I nearly ran into some pigs a few minutes ago. There were so many 011 the road," and here he mentioned the exact number. "And I saw the same number in each of two paddocks on one side of the.. road, and again in two paddocks on the opposite side. It seems to be a popular number here." The reply was: "No, that is quite accidental. Tbose pigs belong to three men, but there is 110 fence that will stop them. John has four pigs more than Michael, and each of them had three pigs run over not long ago. Before- they had this casualty list their numbers together were one less than that of Arthur." How many pigs were there on the road? TRAVELLING EXPENSES "I cashed your cheque for £ll on the way to the railway station," said Somebody, when she arrived home. "The telegram I sent- you cost more than a shilling, and the money I had left would have been enough to nay for another telegram at the same price or for my ticket quite a largo number of times without leaving any shillings or pence as change in either case. But I paid for the ticket with one of rriv on© pound notes, and received both" shillings and pence." Her husband replied: - "I do not know how manv shillings you received, but I think "there was only ono penny." To this his partner re- ' torted that he was quite mistaken, and she told him how many pence there ' had been. His reply, was: "I saw that was possible, but there was only 0119 ciiouco of it, and tJiero nro tiro iti which there could-be only ono penny." Ho found his opponent quite implacable. "Tho number of pence might easily have been just one more than I told you," was what sho said. How much did the telegram and the railway ticket cost, and what were the theoretical prices, to which they i-e----ferred in their argument? LAST WEEK'S SOLUTIONS Adventure at Shops.—A, B, C and D bought 6, 8, 3 and 9 yard's, respectively. Problem in Ages.- -The car is 12 vears old. and the wife anil her sister are twins, 27 years old. Armchair Problem.—The two men walked distances, which are multiples of 7 and 8 miles, and exceed IS miles. These are 21 and 2i, making total 45 miles. The indefinite statement made by the owner of tho horse does not affect this result. Tale of Shipwreck.—As the result of each three days play, she would owe him 2.3S pence, and this amount is contained 120 times in £ll9. Therefore, they finished 360 games, missed 4, and were interrupted in 1, which makes 31>5 days spent on tho island. Honour Among Thieves. —It is not difficult to see that it was A's £1 notes, which amounted to a square number, and it must have ended with 9 or 4. It could not be 9 or 144, and lilt was 4, or 49, or 169, it would be the largest or smallest sum, which is contrary to specification. Therefore, it was £G4 and the other two men got £45 and £9O.