"NUTS !"

Evening Post, Volume CXIX, Issue 134, 8 June 1935, Page 13

"NUTS !"

(By C. J. Wherefore.) M

INTELLECT SHARPENERS AH rights reserved. \- -• ■ . , •. • ■

giUtrs wlta a littls Innnulty will flnd In this tol'imn an tkundant itora tf tnterUlnmtnt and tmuiemtnt snd; tit aolvlnt •' the »r»blemi ikauU pravUa ixealltut mental exhilaratl«n. Whlla aama ef wa •nuts'.' may appear hsrstr that othsr*. It wilt be found that nons -ill raqnlra • ale*tt-hamm»r U eraalt Mam. Aidraia sMrtiisas'aats is P.O. Bu 1177, Wal> iinitoa.•; •■• •■• ;■.■•■■ ■■ ■.-■ •;■...■ '•. ■■ ■ .■■."

PREPARATIONS FOR A JOURNEY.

Three friends were making a railway journey together to the same place. They had a little time to spare before the train started, so each of them spent a little money on refreshments, or other useful things to relieve the tedium of the journey. A spent one-seventh and one-eighth of his railway fare, B spent one-sixth and onefourteenth of it, and C, who was more economical, spent only pne-fbrty-second and one fifty-sixth part of it. Onethird of what one of these men spent in this manner, went on cigarettes, anc the remainder on a detective thriller. What was the price of this book? THE STOREKEEPER'S PROBLEM. "Four boys came in here this morning," said the storekeeper in our township. "Each of them had the same amount of money, and they began by spending the same amount on four small quantities of sweets. Then each of them spent the remainder of his money in a different manner on two other purchases. The, largest purchase made by the first boy cost as much as his other two purchases together. With the second boy the largest purchase cost twice as much as the other two together, t and in the case of the third it was three times-as mucW as the total of the other twb." : Here he stopped* but his friend:asked; about the fourth boy. "I suppose his, largest investment cost four times as much as the other two?" f'Wrpng," said the storemanj "quite wrong; in fact that would be impossible, eyeriif we dealt in halfpence, which we do not. The fourth boy's case'was that the sum1 of two purchase* was twice *s great as the cost of the other.";■••'.; How much money had each boy, and how did he spend a? ?:■ v-■/■■;:,■;•;•/\ '::'-":\ -■■■ v:;;- ■■'' ;';';,:■ TWO;' ABMCHAiB, PBOBJLEMS.:,': ■. . . A woman, went into.a'store to buy some tea and coffee, and was .informed that a pound of each would cost live l shillings and one penny. * As she had only three shfllings,lt Was 'pPiHted out that she could take half-pounds at the same ;prWßVper, :^undi«;Tp;; this ;she replied that she)yrould'take^ inne ppjind of teaoind » «nudl quantity of sugar coßUnj only oneHWVenteenth of the jrtee o< thet*.? flowed to :h^Ktte»*^^rhe^--?; thr(Be;;::v-shiUingS. WMiwfd ',#s price c* the^coffee?- -;\- ---■\ :■ A^n^'^tedT*9^2^po. i a j?lace whewhe'jcpuldvgfetia:#fc;hut wM'-.bneVp«anJsr':; in'<nre,:;.thaiii;::: eighteen times all; the ftoney he:ha& <:A frient lenti him^^spihethtag,;^d whatever 1 may have been, it was handed over a}l in one piece. ■•" '. When .the ticket was paid for, the change added, ;to the money which the traveller called his own, made just half of what his friend had lent to him. .What was the fare, and ho# mych had he;before borrowing?^:;;-: v> :>v;.;::: a '^y^-M :-v;i:;. ■-;'■ \ \ whose decease wiUSnPt; ' .'be; regretted, was shot in her^^Sto'^reifaote suburb at 9.30 pin^The tlfoer;ii? kn&yn with certainty,' becauM:the shot r was, heard by several .persons:pn- the road; but none of them stopped?' to, investigate: She was alone iii^h?us«vsp that the crime was notdiscOyered until H pia, when -her two servants return^ ed, having been absent all the evening with their employer's permission; ■!■ The police art convinced that the murder was^^ committed by one or rnoreof the four person* who benefit bys her death. These areja-nepihew named Payid, who hasr^iwife; named Ppra/jmf ri a niece Emily; wh«*^has gained Ed-ward."I'-EMh:':of teese ,fbur/.persons;,;hs(s been Intafrogattd ; as^ !ta hisk or her movements between 8 and 10 p.m., but their replies seem to establish perfect alibis; a*^^ shownl'ih thVymtten^repdrts. & Edward "had been but of 3 town 'for ieveral days; and only: returned by a train \^h - arrtyed '^abput' 11 pin., having >inl«^::»ye)irMer;'-iii*\e;.vwhich. would have brought; Mnv ?h about 9 pjn; He tooka taxiat thjßstatiori, and has the driver as a witnissl .Also his wifei whp was Visiting ; her next-dpor neighbour, can: bring ihr>this; lidy to give evidence■ as to the taxi;-bfecause her husband s had to- go ,to v this house to jet the ikey of his, own house: from his wife: Emily: confirms \ ;this, and says that shei spent the whole evening with her'triendiSy;- y-;:' ./\i':j''\':'-'. '■<■■■"■' She did not know by which train her husband would travel; as she had not telegraphed to him ribr he.tb her. She had Visited ,her aunt that mprniiig, but had not seejj her since i then. The manager of the hotel at which Edward was staying, cannot say anything about the trains, *ecausei.the visitor paid bis bill and departed shortly after lunch. Several letters arid one telegram had come forhini that morning. The telegraph office, .supplies a copy'bf:the telegram^ which is in code and reads: TEAM VERTIALE StnTOED VIpLIT LARNTTVE.' David says that his wife was going to a meeting at a woman's cliib, so he went to the pictures at the Tivoli Theatre. He has the butt of the ticket for his seat and also a tram ticket issued on a tram which left town at 10.40 p.m. Witnesses are found to shovr that this seat was occupied all the evening. Dora states, that she left the club before the end of the entertainment, because she wished to visit a friend, wlibse house is opposite her own. 'This iriend was with her on the dborstep when they both saw David walk up to: his door, open it, and switch on thfe light.,, ~'.;■• .....' ;,'■'. The case has been handed to. Inspector- F, and. jthese written reports are all his information, but he sees a clue which leads to'the explanation of how the crime, vfas carried: but. Readers are Invited to search for this clue and for the. information obtainable from it, £; ■,". ;;': "■ SOLUTIONS. ■•'., / '/ ■■' AtP.O.SSi—B and D are women. 1 Substitutloa.—32l9 plus 7439 equals 10,658. The! book referred ,to * is "Treasure Island." Incomplete Story.—The professor is right. The.number ofE's house is inevitably 5, whatever some of the others may be. ■ j.. . . ,-.,■•■' Armchair problems.—(l) The numbers present ire 3, .11, and 4. Multiply the first two1 together and add the third, the res\tjt, 37,/ is the man's age. (2) The number must be a,multiple of 4 and S, andlas 20 is not enough, it must be 40. I Argnmentenve Problem.—T.om 0 lost £5 by the chftnge of plan. This is a prime number, therefore he parted with £1 to etch brother or sister he had. Thus we know that there are six children, and it is also clear that there are 3 bpys and 3 girls, because if there [were. only two of either sex, Tom and Dorothy would use the words "neither"! and "either" instead of "none' 'and "a^y." The. sum to be divided was £11200, and each beneficiary received] £2 more than the one next below him or her in age. The interest divided among the girls was]

£100, and if one of them received £32, the other .two must have received amounts which are even numbers not less than 30. It is easy to see that Dorothy did not get the £32, nor did she get £30, or £34, or £36. But if she got £38, her share becomes £235, and so do those of the eldest and second. This is the only solution, so the answer is that the eldest, second, and fifth are daughters, and the third, fourth, and sixth are .sons.