536 Puzzles and Curious Problems

248 Answers the top line, and so on until we come to a 7 in the bottom line without any remainder. Then stop, for the correct nu ...

Answers 249 first mention in the December 30, 1881, issue of Knowledge, a magazine of popular science edited by the astronomer R ...

250 Answers DIGITAL COINCIDENCES If we multiply 497 by 2 we get the product 994. If we add together 497 and 2 we get 499. The ...

Answers 251 DIVIDING BY ELEVEN To be divisible by 11, four of the alternate digits must sum to 17 and the remaining five to 28 ...

252 Answers A B C 18 19 8 15 15 15 12 11 22 19 8 18 22 12 11 8 18 19 11 22 12 then in the first three groups 11A - lOB = C. In t ...

Answers 253 carried forward and added to the 4.) But, we cannot do better than take the lowest multiple (82) of the lowest commo ...

254 Answers 64 (the cube of 4); 23, I 04 (the square of 152), where 23 + 04 = 27 (the cube of3). 124. REVERSING THE DIGITS 989,0 ...

18144 18144 18144 18144 Answers 255 to nine places, add up and put 00 at the end, and there is the answer. SQUARING THE DIGITS ...

256 Answers again giving the digital roots shown. Now, as shown in Amusements in Mathematics, the digital root of every square n ...

Answers 257 A SQUARE OF DIGITS In every one of the following eight sums all the nine digits are used once, and the difference ...

258 Answers THE NINE BARRELS There are forty-two different arrangements. The positions of the I and 9 are fixed. Always place ...

Answers 259 general problem, of finding numbers that are the sums of the nth powers of their digits, see Joseph S. Madachy, Math ...

260 Answers is less than 10. To form the three-figure divisor, one factor at least must be 5, and therefore the last figure must ...

Answers 261 If the reader will work out each of these little sums in simple division he will find that they fulfill all the cond ...

262 Answers ALPHABETICAL ARITHMETIC 17 93 X 4 -68 68 25 FIGURES FOR LETTERS 6,543 X 98,271 = 642,987,153. THE SHOPKEEPER'S ...

157. LETIER MULTIPLICATION 4973 X 8 39784 THE CONSPIRATORS' CODE 598 507 8047 9152 LETIER-FIGURE PUZZLE Answers 263 It is cl ...

264 Answers SELLING EGGS The smallest possible number of eggs is 103, and the woman sold 60 every day. Any multiple of these t ...

Answers 265 THE HOUSE NUMBERS The numbers of the houses on each side will add up alike if the number of the house be 1 and the ...

266 Answers ANOTHER STREET PUZZLE On the odd side of the street the house must have been No. 239, and there were 169 houses on ...

Answers 267 It was not stated that the sons were to receive those fractions of seventeen. The proportions are thus o/1s, o/1S, a ...