272 Answers
The general solution depends on the fact that every prime number of the
form 4m + I is the sum of two squares. Readers will probably like to work out
the solution in full.
- ELEMENTARY ARITHMETIC
The answer must be 273. It is merely a sum in simple proportion: If 5 be 4,
then 3Yl will be 273.- TRANSFERRING THE FIGURES
The required number is:2,173,913,043,478,260,869,565,which may be multiplied by 4 and the product divided by 5 by simply moving
the 2 from the beginning to the end.
- A QUEER ADDITION
Write the following four numbers, composed of five odd figures, in the form
of an addition sum, II, I, I, I, and they will add up to 14.
- SIX SIMPLE QUESTIONS
(I) 8, II I Y.J; (2) 1873; (3) 7 and I; (4) 1\-3; (5) 8\4; (6) %.- THE THREE DROVERS
Jack had II animals, Jim 7, and Dan 21 animals, making 39 animals in all.- PROPORTIONAL REPRESENTATION
The number of different ways in which the ballot may be marked is 9,864,100.- A QUESTION OF CUBES
The cubes of 14, 15, up to 25 inclusive (twelve in all) add up to 97,344, which