INTELLECT SHARPENERS

Otago Daily Times, Issue 23365, 3 December 1937, Page 3

INTELLECT SHARPENERS

Written fcsr the Otago Daily Times . C. J. Wherefore

Correspondence should be addressed to Box 1177. Wellington. AN EVENING WELL SPENT Four mcln, Arthur, Bob, Charles, and Douglas, Went to the pictures, each of them taking; a partner with him. The names of these ladies, not necessarily respectively, are Muriel, Noel, Olive, and PhylTfe. They brought a large bag containing' 120 chocolates, but the fact is that the; men ate very few of these. Arthur tocik only two, Bob took three, Charles fc»ur, and Douglas five. As to the girls, Muriel had six times as many as the man who had brought her there, Noel has seven times as many as her masculimi friend, Olive disposed of eight timits as many as her escort, and Phyllis consumed nine times as many as her prospective life-partner. No chocolate's were left. Which of each of these vftmr ladies is engaged to each of the four men? CONCERNING SOMEBODY'S AGE “My lißlephone number is one too much to be a multiple of 100," said Mrs T. “But it happens to be the product </rf my own age with that of the number of m> house.” I asked how mat?y houses there are in her street, bfKli she replied that she did not know. ‘‘‘There are so many vacant sections Sn this new locality. They had to bjgin numbering at 21 to allow for a blc ck of land not yet subdivided, and for similar reason there are no numbers between ” “ You ]t»ave had your three minutes,” said the voice at the exchange. What ffs Mrs T’s age? POST OFFICE ROUTINE Mr was aware that the postmaster io our township was not at his usutifl place, because he had seen him at tfae hotel playing billiards with the chesipfist. He expected to find Miss P. in cbKrge, and was correct in guessing that'Ehe was not kept busy or even occasionally interrupted by persons calling on business. It may have been the resolt of his good spirits after a pleasant; talk with her which caused him to put the stamps on his parcel in a flippunt manner, abbve and below the address and on either side of it. He told! me that he did this in a systematic way, so that the product of the number-.of stamps above and below was exactly the same as the product of those left and right. I remarked that he must have had a lot of stamps to get ,rid of, and asked whether he had bought one from his friend every five mjfnutes. How many stamps did he use! really? OWNERS OF LIVE STOCK A bris 11 sheep for every head of cattle ipwned by B. B has 13 head of cattle for every three horses owned by C, knd C has nine horses for every pig onj D’s little farm. It is evident that J has the smallest number of live stock, and when I mentioned this, in speaking to him, he said that one of his [ three neighbours has so many dozen** of animals for every pig he could /Show me. I did not hear clearly which of the three he mentioned, nor could I catch how many dozens he specified. Can I or anyone else discover bow many pigs D has? ARMCHAIR PROBLEM The church bazaar had not been a compiitete success, and the produce stall had been especially unfortunate in havirak several things unsold that might Pbe classed as perishable goods. Three;! volunteers offered their services as canvassers to persuade persons to buy tome cakes at bargain prices. Muriel, the vicar’s daughter, sold a certain number at a certain price. Dulchaea, the curate’s wife, sold four more than her colleague, but she charged twopence less. The result was tShat the numbers of pence collected by these two volunteers showed the saxne two figures, but in different places, as regards left and right. The name of the third volunteer is Jane, and she is that very useful individual who sweeps and cleans the church. Her i iprice was the mean of those charged by the other two saleswomen, and Itaie number of cakes she sold was also Ele mean of the two numbers the others i had succeeded in getting rid of. Stran rely enough, the three sums of mones r came to exactly 200 pence. How nany cakes did each of the three wonjbep sell, and what prices did they change? SOLUTIONS OF LAST WEEK’S PROBLEMS On Sunday—There are two solutions. One, suspected by the Quesmakes the distances very different, 'l4 and 182 miles. The othv.r makjafe them equal, both 26 miles. Thiiee Thieves.—The jewels were worth £6O. A carried £BS in money, Bon ly £5, and C had £4O. It was C who escaped, and recovered the £6O worth of jewels to add to his £4O. Oblvious.—This, may be called an in tellliriance test to be answered in very briejfftime. The two inns must be 25 arid 35 miles from A and B respective] y iff one case and conversely in the .other.. Ares.—(H The present ratio can be writ ten as the fraction ,3 over 2. Every time J is added to both numerator and denominator the waiting time is mcresrted by 5 years. Therefore this ratio will become 7 over 6 in 20 years (2) The present ages are 3,6, 8, and 3 tfebes 8 is the same as 4 times S But jn two years they become 5. 8, 10. and S times 8 is the same as 4 times 10. Argumentative Problem. —It may be infe cared that Mrs A, who is taking cam* of two puppies, is the wife of D the', .jback-country musterer. Mrs B the; (mother of two children, at school, caribot be the wife of C. who married ontyf four. years ago Thus we can see she is married to A. Mrs D. whdse house was visited by a burglar can pot be the wife of B, because no one* would try to get money by robbin g the house of a journalist. She ma3"st be the wife of C, and there are leflt. only B and Mrs C. who must be the; other happy pair.