The Riddler.

Otago Witness, Issue 1387, 29 June 1878, Page 17

The Riddler.

NEW PROBLEMS. 462. Question. — Selected by H. M., Dun. edin : — A banker discounting a bill of £1515 for 73 days by the common method, deducts 8s more than he would have done had he taken tho true discount. Find tho rate per cent, per annum at which the bill was discounted, and interpret the negative result. The solution will he given, in full, on the 20th July. In the meantime, we hope some of our arithmeticians will work out the problem. 463. Question. — By J. G. Pmith, Longbush :—: — Find a number such, that when it is added to 15, 27, and 45, there arise three numbers which are in geometrical progression. 464. Decapitation.— By Ella, German Bay:— My whole you'll get on a muddy day ; Beheaded, you'll see the boys in me play ; Beheaded again, I am something to tear ; And once more behead, a tree I appear. 465. Diamond Puzzle. —By W. J. Manley, Waipori :— 1, A consonant. 2 and 3, The names of trees. 4, A planet. 5, What we mostly like to be. 6, A compound of metal and other matter. 7, A consonant. Centres, a planet. 466. Disintegrated Poetry.— Selected by Heather Bell, St. Leonards :—: — Ew nad kolo taref robefe # Ton nipe thaw nad rof si Tflfflureh rou setcernis Meoo si whit nipa tagfrhu Rno gossn tothugh dasstsd tesweßte halt letl rea toseh fo. Inthis problem the orthography^and the words in each line are to be restored to their original form. 467. Five Buried New Zealand Townships — By Merrythought, Cambria : — 1. Smith held the hoard, and told Harriet to nail it on. 2. A man of wealth and of rank, to none a benefactor. 3. He is taking stonemasons, carpenters, and joiners with him. 4. Who Btood against Bath p Answer, O ! ye riddlers. 5. After his defeat he -withdrew into Northumberland, and joined the main body of the army.