"NUTS!"

Evening Post, Volume CXVII, Issue 111, 12 May 1934, Page 21

"NUTS!"

INTELLECT SHARPENERS , All rights reserved. ' .■' ■ (By C. 3. Wherefore.) Readers with a little Ingenuity will find in this column an abundant store of entertainment and amusement, and the solving of the pro-

blems should provide excellent mental exhilaration. While Some of.me 'nuts".maj appear harder that others, it will be found that none will require a sledge-hammer to crack them. Address correspondence to P.O. Box 1177, Wellington.

A PIECE Or STEING.

A parcel containing a box four inches deep has to be tied up with a piece of string. Twice round lengthwise and twice crosswise uses tho whole length of string without leaving anything with which to tie a knot. Twice lengthwise and once crosswisa leaves 20 inches of string, which is more than is required, But once, lengthwise and three times crosswise leaves just four inches which is sufficient for knotting and not wasteful. What is the length of the piece of string? •

ANAGRAM.

In the lines given below the three spaces are to be filled with words composed of the same five letters. ; My Lord, in this unhappy case, my client, Mrs. A, . . ' Asserts she has been libelled in a most

malicious way By Mrs. B, who named her where a

crowd was there to hear, Calypso's Island Tearooms, ana the

facts will bo made clear. Ten witnesses can they heard in-

jurious statements made, That Mrs. A is wearing clothes for

which she hasn't paid. The words were uttered loudly with

both emphasis and candour, Behaviour, I contend, my Lord, which

constitutes a slander. Money is rather scarce just now, this

point need not bo stressed, And Mrs. A, or anyone who's credit-

ably dressed, Can never hope to pay in cash, but

most of us have heard The shops are trading all their ——r on payments long deferred.. My client can produce in court agreements she has signed, Using the time instalment plan, and in them we shall find That all she '■ was purchased from a certain modiste's stocks, She's paying half a crown a week on | thirty different frocks. Tho damages she claims are not too much or out of place, My Lord, this is the whole of my entirely lucid case. .

A MOB OF CATTLE.

Two persons in a car on a country road met a mob of cattle, and stopped at the side of tho road to let them pass. Both men tried to count them as they passed, but their results difered by 4, so they asked the drover how many there were. Let it be supposed, however unlikely, that the drover informed them that the. number disputed amounted to 5 per cent, of the total, that the number of steers was 5 more than the number of. heifers, and tho number of old cows was 10 more than the number of steers. Then how many of each kind were there in the mob?

ANOTHER PROBLEM TOR PHOTOGRAPHERS.

A passenger on board ship took a photograph of an .island just one- mile distant, that is 6080 feet at seav The highest point of the island is 95 feet above sea-level, but when the_ film was developed it was a great disappointment to find that the. image of the island was so . small that it could hardly be seen without a magnifying glass. The camera used is a small portable instrument with lens of only four inches focal length. How high could the photographer expect the picture of the island to be? :

AGENCY TOR A DAILY PAPER.

A stationer's shop in. a certain small i town is the agency for a daily paper. J When the supply for the day arrives, the lady employed in the ' shop takes ; out a quarter of the amount.ior sales over tho counter, and; gives the remainder ;to four boys, who ride round on bicycles •to deliver them to subscribers. Bill Sykes delivers 7 papers more than Andrew Mclntosh, Charlie Robinson delivers 7 more than Bill, and Dennis Murphy delivers 7 more than Charlie. If the lady sells only four out of .every five she keeps hi the shop, it follows that the number disposed of by Andrew and herself just falls short of being one hundred. It also follows that she and her brother have disposed of equal numbers. Can readers discover what is the lady's surname?

ARMCHAIR PROBLEMS.

Walter, accompanied by his wife and family, is -visiting his brother, Tom, who is also married and has a family. The children while playing together, are questioned by a. person who has only a- slight acquaintance with their elders. fOne child admits the ownership of three brothers and three girl cousins. Another possesses only one brother and two girl cousins. How many are there in each family? • An extract from a letter written by a young person to a friend of similar age states: Yesterday we went down to tho riverbed to collect driftwood for our winter fires. Jo drove the old mare in the spring dray, and father's old dog came limping behind us, as he usually does. It did not take ; long to get a good load, and some of tho logs were so heavy that it took ' two of us to lift them; there were j bigger ones, too, which we had to leave, much too heavy for three. Dolly behaved well. Con and I walked home behind the load to pick up . anything that looked like falling off, and this includes Jo, who sat on top of a high perch during the dr,ive home. A nasty splinter stuck in his hand, and I took off my shoes and stockings, the new ones, so that mother had a good deal to say to both of us, especially as it was very late when we arrived. Jo escaped this, however, be.ing absent ill the stable with the conclusion of her duties. 'Boy was later still, I do not know ■when he came home, but it was not until a long timo after dark. Can readers discover how many boys and girls took part in this little diversion?

A lady, who found she required a good deal of money in silver and pence, made small purchases in five dif' ferent shops, and at each place she

handed over a one pound note to bo changed. At the second, third, fourth, and fifth shops which she visited, tho cost of the articlo purchased was in each ease twopenco more than that of the article previously acquired. After making the fifth purchase she had 117 coins in her purse. For the purpose of making this an armchair cuizle-, it will tie supposed that only shillings ami peneo were given to her as change. Tho problem is to discover what wero tho prices paid for the five articles bought. There is only ono solution, and it is not difficult if it be remembered that her purpose was to obtain as inueh small cash as possible.

SOLUTIONS. Anagram.—Evil, Live, Vile. Letters and Postcards. —35 letters, 9 postcards. On an Island.—-29 before, iho ship

eamo and 37 afterwards. In the second case, 131 before and 133 after. Two Motor-cars. —The two periods of time are to one another as 9 is to 1, the square root of this, 3 to 1, is tho. ratio to one another of the two velocities. Therefore, after passing, one travelled 12 miles at 48 miles per hour, and the other 36 miles at 16 miles per hour.

Silver Coins. —(1) 38 halfcrowns and sixpences, 24 threepenny pieces; (2) 40 half crowns- and threepenny pieces, 20 sixpences. It makes a good alternative problem to find in how many different ways six pounds could ba made up with the coins as specified. It is not difficult, and the answer is seven. A Profitable Business. —The £350 belongs to A, £.210 to B', and £150 to C. The unkind remark, which suggests that accountants would not have any special qualifications for solving the problem, refers to the fact that this_ is not effected by calculations concerning capital and the income derived from it. The three allowances have to be subtracted from the amounts of the three cheques in such a way that the remainders are three terms in arithmetical progression.