Judge — January 1937 — page 46: what you’re looking at

Machine-transcribed from the original scan — historical spelling and the odd misread are preserved.

Fame and smartness and incomparable flavor Benedictine hos every- thing! Since 1510 it hos been the world’s clossic ofter-dinner liqueur..."Le Grande Liqueur Froncoise.”” PROOF 86° Julius Wile Sons & Co., Inc. New York A SMART RESIDENTIAL HOTEL offers newly decorated airy apartments One to four room suites Some with Terraces Furnished or unfurnished Serving pantries—with electrical refrigeration FULL HOTEL SERVICE Excellent restaurant and Duplex Cocktail Lounge—air cooled Music during cocktail and dinner evorly HOTEL 125 East 50th oa NEW YORK WM. A. BUESCHER, Manager ANSWERS TO LAST Time to Retire Tue E6rror’s bedtime is exactly thirty- six minutes after nine o'clock. To the Rescue THE ACCIDENT occurred eight miles from the Edenville Railroad station. Magic Crypt | THE DIGITS rep- resented by the | letters are 0123456789 CKTRHESLAN and the recon. structed magic square is: A Brick Bat A FEw facts about digits are herewith presented and we suggest that you cut out this piece and keep it. Additional properties of digits will be brought out from month to month and the series will make an interesting collection. 1. Any number the sum of whose digits is divisible by 3, is divisible by 3. 2. Any number the sum of whose digits is divisible by 9, is divisible by 9. 3. Any even number, that is a num. ber divisible by 2, which is divisible by 3, is also divisible by 6. 4, Numbers divisible by 5 end in 5 or 0. 5. If the last two digits of a number are divisible by 4, the number is di- visible by 4, for the reason that any multiple of 100 which may be prefixed is divisible by 4. 6. If the last three digits of a num- ber are divisible by 8, the number is divisible by 8, for the reason that any multiple of 1000, which may be pre. fixed is divisible by 8. The following solution of the Brick Bat problem will show these principles in operation. Since the required number leaves a remainder of 9 when divided by 10, the last digit of the number must be 9. This also provides for division by 5 with a remainder of 4. Since the num- ber leaves a remainder of eight when di- vided by 9 the sum of the digits must be 9 plus 8, or 18 plus 8, that is 17, or 26. 89 is the only number below 100 ending in 9 whose digits total 17, but when divided by 8 it does not leave a remainder of 7. Therefore, the number must have at least three digits. We may now list the three digit numbers ending MONTH'S WIT-NITS in 9 that are divisible by 8 with a re- mainder of 7. These numbers will also provide for division by 4 with remain- der 3, and division by 2 with remainder 1, The numbers are: 039 «239 439 «639 839 079 279 «479 679— 8879 119 319 519) 719 919 159 «6359 «559759 959 199 399 599 799 999 As mentioned above, the digits must total 17 or 26 and 359 and 719 are the only numbers whose digits do. But when 359 is divided by 7 the remainder is 2, and when 719 is divided by 7 the remainder is 5; therefore, no number below 1000 will do. Since the required number is less than 3000 we must pre- fix 1 or 2 to the above list. The following are the only ones of the above numbers, with 1 or 2 pre- fixed, whose digits total 17 or 26. 1079 2519 2159 1799 1439 2519 is the only one which when di- vided by 7 leaves a remainder of 6, and it will be found that 2519 fills all the other conditions. A series of numbers that fulfill these conditions may be found by successively increasing 2519 by 2520. There is a simpler solution of this particular problem, which we give be- low. The solution above was given to show how the problem might be solved in a digital way. Simple solution: Take the L.C.M. of the factors, not including 11, 2? x 3° X 5 X 7 = 2520. From this subtract 1. Cut up and Reform Cur as indicated and rotate one piece through a quarter turn. Murder Will Out Coxey was the murderer, Abe was a con-man, Babe was a gambler, Cokey was a panhandler, and Dopey was a gangster. comicbooks.com