INTELLECT SHARPENERS

Otago Daily Times, Issue 23511, 27 May 1938, Page 3

INTELLECT SHARPENERS

Written for the Otago Daily Times By C. J. Wherefore Correspondence should be addressed to Box 1177, Wellington. NON-MATHEMATICAL In the lines given below the first two spaces are. to be filled with words composed of the same six letters. The word required for the third space is longer, because it contains the six letters previously used and also those of another word found elsewhere in the verse: Bold as a lion he: and she. his mate, Had courage that could hardly be excelled. It seemed to them in their devoted None but their own two the held. The ship went down, they coolly swam ashore. He in his strength the sole thought in her mind, Her he noticed all the more; What mattered then the folks they left behind? WHAT ELSE DID THEY TALK ABOUT? Edwin told Angelina that the number of the present year is a multiple of what his age will be on the birthway for which he is waiting in a few weeks. He added: “If my' great grandfather were alive, the number of the year would be a multiple of his age also." Angelina replied: “I could say exactly the same, and yet our own two ages are different, as you know. What are the ages of these two individuals, and what would be the ages of the two great-grandfathers, if they were alive? ’ HOUSEBREAKING A man had a small sum of money in silver and pence, without fractions of pence, and he divided it into a number of parts, which he hid in his room. Two other men came to the house, and one of them kept watch while the other entered the window and stole what he could find, but it amounted to only one-quarter of the whole amount. The other thief, who had been watching, felt certain that there was still some more in the house, so he went in, while the first searcher undertook the watching. Thi man stole four-sevenths of what the first man had failed to find. When the partners put their spoils together, they found that the total had the value of a number of shillings without pence. How much money was hidden in the house, and how much did each thief take away? A CHILDISH PROBLEM There were four children, whose initials are A, B, C, D, and each of them had spent some pocket money on sweets. A bought chocolates, B preferred caramels Cis an uncommunicative persons, who will not tell me what 'she chose, and D bought a mixture of several varieties. Afterwards, when they had all partaken of a good deal of their acquired property, they gave me the following information. A said: If I gave B five of my chocolates, he and I would have the same number” B said: “If I gave C eight of my caramels, she and I would have the same number.” C again refused to give any information, but D admitted that if she gave A 11 of her sweets, then A and D would have the same number. How many had each one of the four, when they spoke thus, and had C any reason for not making a statement similar to the others? ONE PENNY OR TWO Miss Petals told me it was fortunate that the flowers I wanted did not include any roses, because she had sold every one she had in the shop to one buyer that morning. The red roses cost 7d, the white ones cost sd, and the number of the latter exceeded that of the red roses by one-seventh of its amount. She had completed the order, which was for 60 roses, with yellow ones and for these she asked only. 4d. Her customer paid her with half-crowns, and she said she had given him one penny as change. “ One moment, I said “are you certain it was one penny, not two pence? ” “ Perfectly certain,” she replied. How many roses of each colour had she sold, and of what was I thinking when I spoke of twopence change? SOLUTIONS OF LAST WEEK’S PROBLEMS Problem in Ages.—The ages of the girls are 3 and 5. those of the boys are 7 and 4. Professorial.—This is much easier than ■it looks. The professor was in No 11 and his daughter in No. 242. Armchair Problem. —Mrs P took 19 and Mrs M took 5, of the two dozen bought. The man gave them nine, of which Mrs P took three and Mrs M took six.

Week-end Clubs—The clue is that the amount payable for the extra 11 must be something not much more or less than £l, and it is obvious that the charge per head is an odd number of pence. The rest is easy The charge was Is lid per head for 73 men and 31 women

Sixpence Worth.—There are 13 ways of making up sixpence worth with the coins specified, but only six of them are required One boy had a sixpence One boy had one threepenny piece and three pennies One boy had one threepenny piece, two pence, two halfpence One girl had one threepenny piece one penny, four halfpence One girl had one threepenny piece and six halfpence. One girl had two threepenny pieces