MAINLY ABOUT LETTERS

New Zealand Listener, Volume 2, Issue 45, 3 May 1940, Page 16

MAINLY ABOUT LETTERS

S$ we admitted last week, the correspondence has been getting a bit behind. So this week we give a few answers, a few puzzles to be going on with, and.then dive into the files. To work! ANSWERS (Refer to issue of April 19) Along and Down: COPY COPY _ COPY COPY (Puzzle and answer from E.H.C.) The Fly Again: Five inches — the hypoteneuse of a right-angled triangle with height 4in and base 3in. (Puzzle and answer from E.H.C.; but H.G.L., who has been staying in Tokaanu, disagrees, and says 3.6055lin., the sq. -rt.. of 13). The Carpenter: Cut the board diagonally, then slide the two pieces along their diagonals until the width is extended as required. The extra four inches makes this possible. (Puzzle from F. Lovell, first answer in from a station announcer, which almost persuades us to revise our opinion of station announcers). Aeroplane: 3.08333 (repeater) hours, Puzzle from Beginner, answer from. H.G.L. Birdie: Four birds left. (Puzzle from G.F.C., answer from H.G.L.). Adding to 100: We have several answers, all correct: Charley Miller ‘(‘Timeru), says 46, 37, 15 and 0 add up to. 98, and plus 2 this equals 100. That’s a trick, really, but a clever one. These

authentic answers come from Nurse, and the Drama Department, which originally asked for an answer: 70 9/18, 24, 5 3/6; and 23, 67, 9 5/10, 4/8, PROBLEMS To and Fro Two men, To and Fro, start the same journey from opposite ends. To starts at noon and Fro starts at 2 o'clock. They pass each other at five minutes past four and reach their destination at the same time. What time was that? — (From F, Lovell, Warkworth) Ohm! The edges of a cube are wired with a cable joined at each corner. Each edge has an electrical resistance of one

ohm. What is the total resistance of the circuit when a current is passed between any two extreme corners? — (From F. Lovell, who gives these for-

mulz to assist the working: The sum of resistances in series is their arithmetical stim. The sum of resistances in parallel is the reciprocal of the sum of their reciprocal. The ohm is the unit of electrical resistance).

The Odd, Odd Square There’s an odd square concerned in this one, and it really is very odd. The drawings come from Puzzled, Cambridge, who wants to know where the extra square comes from in the oblong collection. We give it for consideration, and suggest that readers might also use the square of squares to confound their friends with the question: If you have 64 squares in a square, how can you divide it and put it together again to get 65? The diagrams appear above. Double Acrostic And here is another of L.C.T.’s homemade double acrostics: "And all day long the noise of battle rolled... .’ (1). Ambassador at St. James Rudeness, English blood in- ‘ ew

(2). First letter may give you a clue, The rest, of course, is up to you. (3). With a queenly carriage She enters a carriage. (4). Extinct words are inapposite This means exactly opposite. (5). A narrow cul-de-sac You get the old car back. Ten Units While you are cutting up paper for Mr. Puzzled, try this one from J. B. Hogg: Draw a rectangle five by two. Cut it into five parts which put together form a square of the same area. Trick The heading warns you. J. B. Hogg says a man had to change a ten shilling note. He had silver coins in his pocket totalling in value 14/-., but he was unable to do so. What coins had he? A Matter of Marriages A clergyman said to a friend: "Some years ago three couples came to me to be married. The names of the brides were Phyllis, Bessie, and Vera. The bridegrooms were Charles, Albert, and William. But I have forgotten which man married which woman. Yet I remember that Albert’s sister, who was one of the brides, was one year older than Phyllis. Vera was a blonde, and her brother, who was one of the bridegrooms, was a doctor by profession. It was he who examined Charles for a life insurance policy. Albert, who was a draper, married a brunette." Which man married which woman?-(Problem from R.G.)