INTELLECT SHARPENERS

New Zealand Herald, Volume LXXIII, Issue 22391, 11 April 1936, Page 7 (Supplement)

INTELLECT SHARPENERS

ARMCHAIR PROBLEM The manufacturers of a patent medicine have received a testimonial from one of their customers, which states: "Two years ago, when I started to take your tonic, my friends said 1 looked a hundred years old. Now they have reduced their estimate to 80 years, and at this rate they will think I look no more than my real age after another year of your treatment." What is the age of the writer ?

THREE ANAGRAMS In the lines given below, the first two spaces are to be filled with words composed of the same letters. This is true also of the third and fourth spaces, and again of the fifth and sixth spaces. Though you up here, we have supposed

You still town prices when you buy, You'll find, if you will the list enclosed. The goods are far from —, which we supply. To deal with a saving way, Certain as of to-morrow's day.

DISPOSAL OF A LEGACY A man left a sum of money amounting to £llOs to two sons, one daughter, and a distant relative, if this person should survive him. It was found however, that the individual last mentioned had died a day before the testator. If this legacy were given to tho elder son. he would havo £225 more than his brother. If it were given to tho younger son, he would have £45 more than his brother. What actually happened was that it. was divided into four equal parts, of which two went to the sister, and one to each of tho two brothers. Then the sister's share was equal to those of her two brothers put together. What were the amounts of tho four legacies?

SUBSTITUTION PROBLEM The following is an extract from an invoice, in which letters have been written in place of the figures. Tljp problem is to restore these numerals, and threo solutions are required, one in which the value of A is the sum of X and Y, another in which it is the difference of them, and a third, in which it is the product of them. AA articles at XY pence, £A.A.AADJAOENT PADDOCKS A farmer had some sheep in four mobs, of 315, 300, 287, and 272, and these were in four paddocks, which may bo called A, B, C, and D, respectively. Two of these paddocks adjoin one another, so that when a few sheep passed through a damaged fence, they got among one of the other mobs. The result of this was that there were three sheep in one of these paddocks for every four in the other. Which are the two paddocks which adjoin one another, and how many sheep passed through the fence? WHAT DID THE VIOAR SAY? The vicar's wife had been describing the annual bazaar and sale of work for the purpose of finding the interest on the debt upon the hall, in which the j sale had been held., " That niean crea- J

By C. J. WHEREFORE

ture, to whom we have to pay all this, put in an appearance, and I am sure he did so just to see if we were going to get the money together. Anyhow I sold him a cushion, which was so ugly that no one would look at it, and got a twoshilling piece out of him. At the end we found we had collected just the exact sum, £ll, and no more. The money was in two boxes, one containing shillings and two-shilling pieces, and the other holding all smaller coins. This was rather heavy, and its cash value was a hundred times as much as that of the other, before we had put the single shillings into it. And I handed it all over to our nasty old creditor just as it was, by way of paying him out for his meanness." How much money was there in each of the boxes P

Last Week's Solutions Second-hand Bicycle.—£s ss. Problem in Ages.—B is 13 years old. and A is 11. Word Change.—Wild, will, wall, tall, tale, take, tame. Some Statistics.—The score was 253, oi which each of the Smiths made 23. Trie five who came before them made 155. and the others 52. Art Union Tickets.—A solution is possible only with multiples of 12, because there are 12 persons. Each woman must have twice as much as each man, and must make lier gifts twice as large. In the present case each man begins with £l2, gives away £4, and receives £B. Each woman begins with £24, receives £B, and gives away £l6.

Armchair Problem.—The hat was not for E, because it was a surprise, and she knew all about it. It was not for D. because she never allows anyone to choose things for her. It was not for B. because she is still wearing school uniform, and it is not for A, because she is evidently out of New Zealand, since her mother has to wait more than a week for the next mail. Therefore it must be for the married daughter 0.