INTELLECT SHARPENERS

Otago Daily Times, Issue 23718, 27 January 1939, Page 3

INTELLECT SHARPENERS

Written for the Otago Daily Times, By C. J. Wherefore ANAGRAM In the lines given below the spaces are to be filled with words composed of the same six letters. Her Majesty, still in a restful pose, Reclining in the easiest easy chair, to give audience to this man. who shows A gay of something she may wear. Poor traveller! Much more willingly would he Offer his frocks to some less haughty maid, And much relieved, he certainly will be, When all is done, the cheque x m and paid. A HOUSEKEEPING PROBLEM Mrs Jones told Mrs Smith that shj had just bought a certain weight of apples at 5 per lb. and the same weight of oranges at 7 per lb. Mrs Smith replied: "It is a pity you did not divide your money equally on the two kinds of fruit, instead of buying equal weights. You would have obtained 21b more than you did.” How many lbs of each were bought ARMCHAIR PROBLEM Miss Hazei and Miss Skinny had been selling some small articles at the church bazaar, anc' the former had been much the more successful of the two. She had handed over a number of shillings equal to the number of pence acquired by her less attractive colleague The treasurer was afraid that the conspicuous difference in the two amount, received might lead to jealousy and ill-feeling, and as he< has no auditors to fear, he cooked the accounts by transferring part of Miss H.’s money to Miss S.’s account. The result was that these two sums of money were made equal in his ledger, and they were shillings without additional pence. How much bad each lady collected?

AT FOUR O’CLOCK PROBABLY Miss Primrose’s tea rooms were fairly well filled, and each one of her girls might be said to have to attend to an average number of guests, which is not a whole number, but includes quite a convenient fraction. Two persons departed but five came in, and at the same time one of the girls was called away to answer the telephone for a few minutes. Obviously the result was that during her absence each of the remaining girls had to wait upon an' Increased average number. This number again includes a simple fraction, and it exceeds the previous number by five and one-twelfth. How many girls does Miss P. employ? POCKET MONEY Arthur Is five years older than his sister, Bessie, and his cousin, Charles, has a sister, Dorothy, four year younger than himself. These children are fortunate in having an uncle, who although he is a bachelor, is able to realise that pocket money is a serious problem in some family circles. He is also wise enough to see that children, as they grow older, require larger supplies, but he has some strange ideas about how such increases should be computed. It seems that four years ago he set a precedent by multiplying together the numbers of years in the ages of brother and sister, and giving each mother the number of shillings shown in the products. On 1 that occasion he gave to one family just twice as much as to the other. This year the disparity is not so great. Arthur and Bessie get only 40 per cent, more than their cousins, but Uncle John’s expenditure is four times as great as it was four years ago. What are the ages of the four children named? TWO SHORT PROBLEMS James Smith aged 16, was sent to the Post Office with a few letters, to buy stamps for them and post them. He found that none of these were light enough to go for one penny, so that the stamps cost lsd, 2Jd, and 3d. He handed over a two-shilling piece, and received one halfpenny as change. How many letters had he? Tom’s age is one-eighth of that of his Uncle James, and this relative’s age is just five times as much as that of his niece, Mary. But Mary’s age is only one-seventh of that of a cousin, whom she inaccurately calls Uncle Arthur, and Arthur’s age is a multiple of that of Mary’s mother. How old is Mary’s mother?

SOLUTIONS OF PROBLEMS PUBLISHED JANUARY 20 Cattle.—He thought he was buying 22 steers, 18 heifers, but the numbers were 18 steers, 22 heifers. Armchair Problems.—(l) The sister has spent one penny more than her two brothers put together. (2) A and B are 36 and 61, not necessarily respectively, and C is 100. Best Policy.—A was the worst offender, because he took at least 10 of them, possibly more. Bis the most honest, because there is no evidence to show that he took any of them. Sporting.—The results she shows are: (1) Nice, rice, rise, "ose, role, rile, vile, and (2) Loan, load, loaf, leaf, lean, lead. lend. The middle works are rose and leaf, therefore her father backs Roseleaf. Week-ends—There are two possible arrangements. One is 4 journeys of 16 miles, 6 of 11 miles, 10 of 9 miles, but this must be rejected, because it does not fulfil the conditions. The other is 2 of 16 miles, 13 of 11 miles, sof 9 miles. In these the number of 16 mile journeys is the only even number, so that this must be the route to which he refers