INTELLECT SHARPENERS

Otago Daily Times, Issue 22545, 12 April 1935, Page 3

INTELLECT SHARPENERS

Written for the Otago Daily Times. By C. J. Whebefobe, [Correspondence should be addressed to Box 1177, Wellington.] A QUESTION OF AVERAGES. A party of seven persons went to the pictures, and the tickets cost two shillings and threepence, but each person paid tor his or her own seat. One of them purchased sufficient chocolates for the whole party, and the amount he spent, including his own ticket, came to one shilling and sixpence more than the average expenditure of the whole seven or them. How much did he spend? PRONUNCIATION AND RHYMING PUZZLE. In' the lines given below the three spaces are to be filled with words, which are spelled, in a similar manner but do not rhyme, because of their accepted pronunciation. The ends of the lines do not rhyme, because the supposition is that they have been written from memory by someone who has made many mistakes, so that readers are now invited to restore these rhymes by making the necessary corrections. A few months ago in the summer, I worked on a station,' and at that time A person I like to think about, Perceiving the to be eleven, Would think about tea and would prepare it. . And butter some scones or something else, And see that some fellow should carry To men like myself among the sheep. I met her last week in town, We had quite a diiferent repast, We both Said the tea cups were dainty, In holidav humour we were. She pulled off her gloves, and began To and to handle the food, Bv which was the potion most required, ‘Which gave us most joy to share • verdict will not go disregarded, If you’ve any comments to offer. A GAME OF CHANCE. Tom. Dick, and Harry have been playing “Three Up.” Each boy tosses a penuv, and the one whose com tails differently from the other two as regards heads or tails, is the winner and takes the two pennies tossed by his opponents. These boys began to play with equal amounts of capital, and now loin has to pence, Dick has four pence, and Harry lias 13 pence. How has the pro* ceeded? THE SCHOOL CHLDREN’S PROBLEM. On the day when an agricultural and pastoral show was held in a certain district the Railways Department provided a train to take parties of school children into town. At one station six parties from six different schools, making a total of 330, boarded this train. The numbers from the various schools were all different the largest one exceeding the smallest bv 02. The sums of money paid by the persons in charge in each ease showed “nine” in the shillings column. How many children came from each school, and what was the fare charged for each child? ARMCHAIR PROBLEMS. Mr M. and Mr N. drove over the same journey in their cars —that is, they travelled from the same starting place to the same destination by the same road. They did not halt at the same place for lunch. Mr M. says that when he stopped he had three miles of his journey ahead of him for every four miles left behind, and Mr N. says that be had five miles ahead of him for every eight miles behind him. How far apart were the two towns at which they halted for lunch? When Mr T. arrived at his friends house after a long and uncomfortable journey, he complained that the speed which he had been able to get out or his car had diminished badly. He had spent a number of minutes, which he specified, longer than usual on the journey, and from this he Estimated that his speed had not exceeded 194 miles- per hour. But his- friends pointed out that his watch — a four-and-sixpenny article —bad been gaining the entirely appropriate amount of 44 minutes per hour. At what velocity bad Mr T. really performed the journey? A boy was given a diary for 1935 as a Christmas present, and for a limited number of days he was careful to write a few lines in it every evening. If the number of the day in January when he made his last entry be reversed as regards left and right, and then increased by one-third of itself, it would indicate the day having the same number in the month of April. For how many days was the diary kept? A man was riding along a road driving a few cattle in front of him. There was one calf in the mob, the remainder were equal numbers of steers and heifers. He had two dogs, and his three boys had come to see the fun. The road crossed a small stream, which was inconveniently deep for persons on foot, but a light plank bridge was provided for pedestrians. Of all the living creatures included, one crossed by the bridge for every five which forded the stream. All three boys crossed by. the same way. There was a little confusion at the time, and those who forded the stream really did so in two parties of equal numbers, with a pause of about a- minute between them. One of the steers was afraid of the water, and one of the dogs was barking just behind it all the time it was crossing. How many animals of all descriptions crossed the stream? LAST WEEK’S SOLUTIONS. Discount. —Mrs B spent fl 5s lOd. Mrs S spent £1 3s lOd, and received 7d discount. Confectioner’s Problem. —One hundred and sixty-six in the box that was full, 83 in the box that was half full. Sheep.—There were ‘only 30 sheep in the last paddock, and the buyer took all of them. Families. —Two children, aged 12 and 7. belong to one family, and two others, aged 10’and 7. belong to another. Then three, aged 12, 7. and 5, belong to ii third family, and there is one five-year-old child from the fourth family. ■ Armchair Problem—This is easier than it looks, because we have only to find a multiple of 9, which is one less than a multple of 5. This is 54, of course, so the journey took six quarters of an hour, and the fare was 11s, which is 132 pence. Subtract 3 from this number, and one third of remainder, 43, is the lady’s age. Cards.—Readers, who are not careful, may say that, reckoning in pence, C had 1 and won 5, B had four and lost 1. while A had G and lost 4. But this is not admissible, because C would not have any money to stake upon the second game. Therefore the answer is that C, B, and A sat down with 7 each, and rose with 12. 0, and 3, respectively.