Intellect Sharpeners

New Zealand Herald, Volume LXXI, Issue 21716, 3 February 1934, Page 5 (Supplement)

Intellect Sharpeners

ANAGRAM BY O. J. WHEREFORE In the lines given below the three spaces are to be filled with words composed of the same eight letters. Mr dearest Hay: To this thy latest letter. Brought hither by the English ms il to-day. You hold, or should I lather wrile, thou My answer should be sent without delay. The which we may extol or slander, One in the winter, one in summer dress. Should neither warm nor chill us in our greetings. > : or trake the number of our letters less. The now climbs about the trellis, _ The roses also. This will never do. I'll use net thou or thine, unlovely pronoi.n, Dear absent one, I only think of you. BAG OF NUTS The proprietor of a fruit stall .had obtained a certain weight of nuts for retailing. He weighed the quantity which filled a glass jar, the capacity of which was exactly one pint, and decided that he could sell the quantity thus measured out at 4d. He broke the jar accidentally before he had sold any nuts, but used a large mug/instead, and as he knew that this did not hold a full pint, he charged only 3}d for each mugful sold. He had expected to receive 9s for the whole consignment, but the result, of selling it in mugful* at 3jd brought in only 8s 9d. W hat fraction of a pint did the mug hold? MONEY IN THE BANK Mary and Nora each have money in the Post Ofnce Savings Bank. In fact, they have rea'lv a good deal more than their father has in his current bank account. Mary's deposit is to Nora's as five is to three. If Mary's balance and twice that of her father's were added together, and Nora's money were subtracted from the sum, the result would be 0. The three balances added together make a total of- £2l. How much cash has their father in the bank? AT THE • PICTURES , A party of four men and four girls went to a picture entertainment, and they carried 56 chocolate tablets, ail of which were eaten in the course of the evening. The men divided 20 of them among themselves thus: Albert had two pieces. Bob had four, Charles six and Donald eight. The girls' shares were as follows: Ethel had twice as many pieces as her escortj Florence had two and a-hali times as many as hers, but Helen had only half as many again as her partner, and Grace and her friend had equal shares. Two of these girls had disposed of the same number of tablets, and each of them was accompanied by the other girl's brother. Which are the brothers and sisters? FEW FOR THE ARMCHAIR A man who had reached his lCfOth birthday drew £IOO from the bank in £1 notes, and divided them among his great-grandchildren, namely, nine boys and seven girls. The number allotted to the girls was divided equally between them, and so also was the number given to the boys. How many did each boy and girl receive? ! ' Two shops offer the same article marked at the same price. "At one of these they are willing to give a discount of seven and a-half per cent, and at tho other they give one extra article with every dozen purchased. Which is the most profitable shop for anyone wishing to purchase these goods? A woman was ordoring groceries at a store which gives discounts to all cash purchasers. Their rule is that'they give two and a-half per cent off all amounts of £1 or more, and five per cent off all those of £5 or more. Her bill came to £4 ISs 9d. so she ordered a pound of tea at 2s 7d to obtain the higher rate of discount. The problem is, did she gain anything by this procedure ? RIDING AND WALKING Three men read an advertisement offering a job for three men which they think will suit them. The position is that thev have to travel to a place ten miles distant, and all three must be there together to apply for the employment. It is also advisable that no time shall be lost, and this is their real difficulty. One jnan has a bicycle, and they can all ride 12 miles an hour and walk at four miles an hour. They start as early as possible, A riding the bicycle and B and C walking. At a certain poinv A leaves the bicycle and walks on. When B and C come to the bicycle, B rides it to another point on' the road and leaves it there for C, while he and A continue to walk. These distances are so accurately arranged, that all three men arrive at their destination together, and thus they have done the journey in the shortest time possible. How much time have they saved by sharing the bicycle? LAST WEEK'S SOLUTIONS Anagram.—Races, cares, acres, scare. Crop of Oats.—Three and one-sixth chains. Astronomical Problem.—The light which the plate receives reflected from the planet is that which left the sun during the man's luncheon hour. Armchair Problem.—(l) Seven. (2)] Four children. The coins were threepenny pieces, pence and halfpence, making 4s with the penny added. Remember that the Post Office Savings Bank accepts only shillings or multiples of a shilling. (3) Thirty-five. Brew of Currant Wine.—lt is evident, of course, that absolute equality could never be attained by this method. But after 16 transactions the excess of water over wine in the larger sample would be that fraction of one per cent which is represented by-the decimal .00,000,004,294,967,296. REPLY TO CORRESPONDENT V.W.—The highest point attained by aeroplanes is about 4.4,000 ft., and at this altitude the distance of the visible horizon would be three degrees 48 minutes, approximately 260 statute miles. In calculating this, the curvature is taken to bo equai to that of a perfect sphere, and all atmospheric effects are disregarded.