Judge — February 1937 — page 30: what you’re looking at

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

BRAIN-BUSTERS Mates Mrs. SimPKINS had a special drawer in her bureau for stockings. Her stockings were of two shades, tan which she wore during the day, and flesh which she wore at night. These little details gave Mr. Simpkins an idea. He counted all her stockings and found that she had twenty-four tan stock- ings and twenty-six flesh stockings. He then told Mrs. Simpkins that he had mixed them all together in the drawer and that he was going to blindfold her. She was then to draw one stocking at a time from the drawer and to so continue until she was absolutely certain that she had withdrawn a pai How many stockings was it necessary for Mrs. Simpkins to draw from the drawer before she could be positive that she had withdrawn a pair? Proportionate Norman Evpripce drew up his will in a rather complicated way. His estate he divided into 329 equal shares, and in the event that he was survived by his wife, son and daughter, the estate was to be divided among them in the proportions of one-third, one-fourth, and one-fifth, respectively. t so happened that he was survived by only his wife and son. How many shares should each inherit? How would the estate have been divided if Mr. Eldridge had been survived by all three? Digital Reconstruction PROFESSOR THORNDYKE, who enjoys toying with numbers, has selected the following problem with which to enter- tain his class and to test his pupils’ re- sourcefulness. On his blackboard the Professor has written the number 60-44 25. In explanation the Professor said, “This series of digits and dashes repre- sents a seven digit number. You are re- quired to supply the missing digits. The number, when reconstructed, is exactly divisible by 792. Since trial and error would prove to be not only tedious but unsatisfactory I would suggest that you bear in mind the factors of 792, which must necessarily be factors of the recon- structed number, and their effect on the digits of which the number is composed. “Perhaps reference to the notes which you undoubtedly made last month on the solution of the Brick Bat problem will assist you, especially when it comes to dividing by eight. And the solution of our last month's problem ‘Digital Arithmetic’ will help when it comes to dividing by nine. Now all that you need worry about is division by eleven.” By PETER POTTER Digit Crypt IN THE FOLLOWING sum in long divi- sion all the digits are wrong, but consist. ently so. Each digit represents some other digit, and always the same one. Can you reconstruct the original division from the example given below? An hour and a half is good solving time for this prob- lem. 609)315550(784 5467 Cut Up and Re-form PytHacoras had been having a lot of trouble trying to explain his famous theorem to some of his pupils who were not so well versed in mathematics as others and who did not fully appreciate the great beauty of geometry. He, there- fore, set about the task of devising a sim. ple and graphic proof of his great discov- ery which would forever remain in the minds of his pupils. Pythagoras made the drawing, shown below, on his papyrus. /~™ a He then required his Pupils to cut up the two squares on A and B so that they could be reassembled to form the square on C. Only three cuts were to be allowed and the squares A and B were to be cut into only five pieces. Pythagoras considered this an excel. lent method of demonstrating the fact that the sum of the squares on the sides of a right-angle triangle was equal to the square on the hypotenuse. Gangland A BLOOD-CURDLING shriek startled Pa- trolman O'Connor out of a sound sleep and a comfortable park bench. But it re. ited only two seconds for the alert O'Connor to take in the situation at a glance. Immediately be heard the grind. ing of gears and saw a car, driven at breakneck speed, careen around a corner as a large bundle was thrown to the street. Upon investigation he discovered that what had sppeated to be a bundle was actually the horribly mutilated body of a man. A note was found later on the dead man and turned over at once to In- spector Webber. This is the note, a sim- ple cipher, found on the body. MNOPR STVW XNVVS ZTW ZR PWOAA ZTP WTBR CRPW MNOPR XTW TW OD ANTPW. SV VN PWSCCTV. KR BRSVP HTFVTP. SV MR HRWWRL VNW LSW NV OP. ZIP TP ATVSC. HCSEY ETLECR XSVX. Although the grammar and the spell- ing of the message, after it had been de- coded, were most unique, the Inspector was able to solve the mystery. Market Quotations Haroip M. Bone a prominent stock market operator and chart specialist with a flair for figures, noticed that he had six different stocks at one time. For these he had paid different prices ranging be- tween 1 and 50 dollars per share. Being unusually observant Mr. Bone noticed that the L.C.M. of the prices when maleplied by their G.C.D. gave him 2940. If he divided their L.C.M. by their G.C.D. he got 60. What prices did Mr. Bone pay for his various securities? At Beaumont Mr. Martcuer and Mr. Stoop repaired to the races. For every $5 that Mr. Matcher had Mr. Stoop had $7. They each won $20 and then for every $5 that Mr. Matcher had Mr. Stoop had $6. How much did each have to start with? Word Juggle IN THE FOLLOWING sentence ten words are omitted. Each omitted word must contain all the letters of the precedin; omitted word with one more letter add. ed. Letters can be juggled around in any position, such as “‘on, not, tone, notes,” etc. The sentence makes sense, but conveys no very profound truth. “— do not like —” said the man with the black —. “The other — is more impressive. Besides, to — a man is to — evidence and is — to result in a — against — which after all is a matter of —.” (Solutions Next Month) 28 comicbooks.com