Show Math Math ath Department Sponsors Math Quiz Contest w The Math Department is conducting a contest Starting today with three questions and continuing through the of April there will be three new k i questions issued every other Friday Each set of questions is a separate contest t and there will be a First prize and Second prize awarded for each contest The t contest rules follow ENTRANTS Only registered students at may enter with one entry per r person per co contest test allowed Entries must be deposited in the Math Lab F ti by the published deadline date 1 WINNERS First Firs prize will be awarded to the person that answers correctly all three contest questions A random drawing will be held in the even event several f entrants correctly answer all questions Correct answers will be determined by bythe the Math Faculty Second prize A drawing will be held for second prize Those persons whose correct answers between 1 and 3 will be eligible for the drawing 1 GRAND PRIZE A Grand Prize will be awarded at the end of the contest period April 13 It will be awarded to the person that correctly answers the S greatest number of questions from the e entire tire contest PRIZES Grand Prize Prize Dinner Dinner in the Copper Room First Prize Prize jack jacket t from the bookstore j f v s. s Second prize Gift prize Gift Certificate from the bookstore j y r The first set of questions follow i X i r c. c K r This perplexing digital problem inventor unknown was passed on to tome tome tome me by L. L Vosburgh Lyons of New NewYork NewYork NewYork York City The digits from 1 to 8 are areto areto t to be placed in the eight circles shown in the illustration below with this proviso no two digits directly 3 adjacent to each other in serial order may go in circles that are directly con connected by a line For example if 5 is placed in the top circle neither 4 nor 6 may be placed in any of the three circles below because each of these circles is joined directly to the 6 top circle by a straight line k There is only one solution not counting a rotation or mirror reflection as being different but if you try to find it without a logical I. I procedure the task will be difficult ct t if b Fj F. F Jl j J W e 2 Alf AIr Bert Charlie Duggie and Ernie have once more been indulging their insatiable urge for competition This time they have been competing against each other for Intellectual Awareness with the Managing Director of course as judge As a result they are placed in order of merit no ties Alf says I I know Berts Bert's place as aswell aswell aswell well as my own own own-I I was higher than he was but not one If I knew that Charlie was three places higher than Duggie which is about what I would expect I would know the places of all five of us Ernie who has been listening to Alfs Alf's remarks has been told no ones one's place except his own But he feels quite confident that as he puts it The witted half-witted and incompetent Duggie could not possibly have been higher that Bert He was quite right Duggie was not higher than Bert After a pause for reflection Ernie says I I can now write down all our places He does so and he is quite right What was the order of merit 3 In the days when they were still the only five employees in our Factory Alf Bert Charlie Duggie and Ernie were required to undergo tests for Aplomb for Integrity and for Occupational Mobility In each test they were placed in an order of merit no ties They were informed about their own places but not about 5 vl Jo c anybody Alf remarked that he was higher for Aplomb than he was for Integrity and higher for Integrity than for Occupational Mobility Bert said that his places were all different and that he wasn't top or bottom for anything Charlie on the other hand said that he was either top or bottom in each test Duggie who had been listening carefully to these remarks and who was in f fact ct first for Aplomb but not first or last for anything else then announced that if if he knew whether Charlie was top for Integrity he could tell the exact order in each test We are not prepared to reveal this but if we tell you instead that Ernie was one place p ace higher for Integrity than Duggie you should be able to discover all their places in each test Yes Yee Ive I've received your latest latet procedures procedure memo Mr I know Its It's It here someplace t |