536 Puzzles and Curious Problems

268 Answers 46,368, and if we add all the twenty-five terms or years together we get the result, 121,392, as the correct answer. ...

Answers 269 A COMMON DIVISOR Since the numbers have a common factor plus the same remainder, if the numbers are subtracted fro ...

270 Answers there any remainder? No. (3) If you divide again by 2, is there any remainder? No. Your twenty questions will be all ...

BUYING RIBBON Mary's mother was Mrs. Jones. Now: Daughters. Hilda bought 4 yds. for $ .16 Gladys bought 6 yds. for .36 Nora bo ...

272 Answers The general solution depends on the fact that every prime number of the form 4m + I is the sum of two squares. Reade ...

Answers 273 is the square of 312. The next lowest answer is the five cubes of 25,26, 27,28, and 29, which together equa1315^2 • ...

274 Answers can get any number of solutions of a particular series. Thus, if we make m = 1, we get the answer 6252 + 1,250^2 = 1 ...

Answers 275 JUVENILE HIGHWAYMEN The woman must have had 40 apples in her basket. Tom left her 30, Bob left 22, and Jim left 12 ...

276 Answers that to increase by three-fourths of the product is to take seven-fourths. And in the reverse process, at this step, ...

Answers 277 SHEEP SHARING The share of Charles is 3,456 sheep. Probably some readers will first have found Alfred's share, and ...

278 Answers BLOCKS AND SQUARES The smallest number of blocks in each box appears to be 1,344. Surround- ing the hollow square ...

Answers 279 THE POSTAGE STAMPS PUZZLE The number of postage stamps in the album must have been 2,519. MENTAL ARITHMETIC Ther ...

280 Answers get the seven cases: 24/1/24, 12/2/24, 2/12/24, 8/3/24, 3/8/24, 6/4/24, 4/6/24. One has only to seek the years conta ...

Answers 281 From 29 down we can obtain the first two figures of 15 across, and can com- plete 15 across and 29 down. The remaind ...

282 Answers there are 16 pieces in all, measurmg together 297 ft., in accordance with the conditions. GEOMETRICAL PROGRESSION ...

Answers 283 as there are ten of us and myself, sure I'll take eleven, and it's myself that I'll begin the count at." Of course, ...

284 Answers chain loses a length equal to twice the thickness of the iron. The inner width must have been 2YJ in. This, multipli ...

same distance, and starting from any point, A, in the circumference, mark off the points B, C, D. Now, with the centers A and D ...

286 Answers THE GARDEN PATH The area of the path is exactly 66¥! square yards, which is clearly seen if you imagine the little ...

Answers 287 equal area, and as AGF happens to be a right-angle the thing is quite easy in this way. Continue the line GA. Now la ...