The Riddler.

Otago Witness, Issue 1355, 17 November 1877, Page 4

The Riddler.

[Questions for solution must be accompanied by answers. Contributors will please write on one side of the paper.]

NEW PROBLEMS.

190. Question.— By Wakatip Miner :— A man bought a basket of apples- He gave A. a third ; B. a fourth ; C. a sixth ; D. an eighth ; and E. the square root of the whole number. He had six left. How many apples were there ? 191. Question. — ByA. Beverly, Dunedin;— From a point at the side of a square field the distance to the opposite corners are 6 chains and 7 chains, respectively. What length is the side of the field ? 192. Question.— By J. G. Smith, Longbush :— A clock loses 5 minutes in 24 hours; how much must its pendulum (length 39.1393 inches) be shortened, that it may vibrate seconds ? [This ia No. 143 in an improved form.] 193 QuESTiok— By J. P. M., Taieri Beach :— The elevation of an object, standing upon a horizontal plane, is observed, and, 80 feet nearer, the elevation is found to be the complement of tho former, and now, on retiring 30 feet, it is double of its original value. Find the height of the object ? 194. Diamond Puzzle. — By Fun, Cambrian :— 1. A Consonant. 2. Humble. 3. Higher in place. 4. An animal fossil. 5. Value. 6. Gonsumed. 7» A Vowel. 195. Charade. — By Ella, German Bay :— My first is something useful As everybody knows, Particularly she Who washes out the clothes. My next should be a blessing, But oft proves a disgrace ; My whole, I scarce need tell you, At table finds a place. 196. Double Acrostic— By Fitzgerald, 8., Kuri Bush : — 1. A town in Victoria. 2. A continent. 3. A lake in America. 4. A city in England. 5. A state in America. 6. A town in New Zealand. 7- A town in Victoria. Initials and finals name a town in Victoria. 197. Numbered Charade.— By Jenny Wren: — 562, the ocean ; 874, a colour ; 8624, perused ; 473, a lair ; 4628, expensive. 198. Square Words.— By B. Stewart, Dunedin :—: — 1. A nnsical drama. 2. A combination of rags. 3. A lyric poem. 4. A kind of fortification. 5. An ancient place of public contest. 199. Charade.— By J. D. W. M., Oamaru:— My first proceeds from the ground. My second is made from my first. My third is made from my second. My whole is What all Scotchmen like. ANSWERS TO PROBLEMS PUBLISHED OCTOBER 27. 160. Question. — Selected from" the Arithmetical Paper for the examination of Pupil Teachers of the Ist class, by Alpha :— 275625 grains. 161. Question.— By J. Mitchell, Dunedin :— 7200. 162. Question.— By J. P. M., Taieri Beach :— 6, 8 and 10. 163. Charade.— By J. G. Smith, Longbush :— Page — ant. 164. Geographical Acrostic. — By G. T. Anderson, Stirling : — G guadiana A R ROCHFORT T E EDINBURGH H < E ELLICE E C CEVXON N E EPHESUS S 165. Charade.— Selected by J. W., Warepa :— In sup-port-able. 166. Diamond Puzzle.— ByFitzgeraldß., Kuri Bush : — D SUN ENN I S D IT N E D IN UNDER PIG N ! IG7. CnARADE — By Fun, Cambrian :— Craft, raft. IGB. Square Words.— By Wakatip Miner :— ATLAS THERE LEARN ARR A N SENNA 169. Decapitation.— By Ella, German Bay :— Snail, nail, ail. CORRECT ANSWERS. From James Brennan, Gore, to 162, 163, 160, 168, 169. Stranger, Waitahuna, 163, 164, 165, 166, 167, lw, 169 i

Jenny Wren, Stirling, 164. J. Mitchell, Danedin, 160, 162. J. D. W. M., Oamaru, 163, 165, 167, 168. H. S., Kyeburn Diggings, 160, 162, 163, 164, 165, 166, 167, 168, 169. J. A. W., Timaru, 163, 164, 165, 166, 167, 168,169. Kiwi, Papakaio, 160, 162. Jacques, East Taieri, 160.162, 163, 164, 165, 166, 167, 168, 169. Puer, Oamaru, 163, 166. Will if I Can, Waimate, 163. 166, 167, 168. J. P. M., Taieri Beach, 160, 163, 164, 166, 167, 168,169. Ella, German Bay, 183, 164, 165, 166, 167, 168. Rob Eoy, Puerua, 163, 164, 165, 166, 167, 168, 169. Wakatip Miner, 163, 166, 167, 169. T. Haines, Qneenstown, 163, 164, 165, 166, 167,168,169. Hook, Waimate, 163, 166, 167, 168. P. C, Moagiel, 160, 163, 164, 165, 166, 167, 168, 169, A.Dawber, German Bay, 163, 165, 167. M. and A. P., Port Molyneux, 163, 164, 165, 166, 167, 168, 169. F. D. E., Forbury, 163, 164, 165, 166, 167, A. G.,'Waitahuna, 163, 164, 165, 166, 168, 169. Albert E. Hardy, Oamaru, 160, 162, 163, 164, 165,166,168,169.

Thanks for contributions to J. P. M., J. G. Smith, Ella, Wakatip Miner, Stranger, H. S' Fitzgerald B. The attention of our contributors is directed to a notice under the heading " To Correspondents." Question 141.—" Kiwi " writes :— The answer given in the Witness to this question is incorrect, so far as the latter part is concerned. To express a yard as a Decimal of a Metre, is simply to divide 39.371 into 36= '91438. The examiners evidently fell into the error of reversing the operation. In other words, they divided the numerator into the denominator, and thus found 1.0936, which they expressed thus "10936. How they abolished the integer, aud came to consider the result as a pure decimal is a mystery; but one feels for the unfortunate fellows who submitted to the ordeal of examination. Their answers, though correct would be considered wrong." ALPHA writes : — "The questions selected from Arithmetic Paper, &c., were handed to me by a pupil teacher. The answers were appended to each, and I took it for granted that they were correct. Tour contributors, who have sent answers to No. 141, have given the right decimals, approximately of course."