SOLUTION TO 346. SETTING THE BOARD. (2/2)

SOLUTION TO 346. SETTING THE BOARD. (1/2)

346. SETTING THE BOARD. I have a single chessboard and a single set of chessmen. In how many different ways may the men be correctly set up for the beginning of a game? I find that most people slip at a particular point in making the calculation.

SOLUTION TO 21. A DEAL IN APPLES.

21. A DEAL IN APPLES. I paid a man a shilling for some apples, but they were so small that I made him throw in two extra apples. I find that made them cost just a penny a dozen less than the first price he asked. How many apples did I get for my shilling?

SOLUTION TO 168. THE CHRISTMAS PUDDING. (2/2)

SOLUTION TO 168. THE CHRISTMAS PUDDING. (1/2)

SOLUTION TO 194. THE GARDEN WALLS. (8/8)

SOLUTION TO 194. THE GARDEN WALLS. (7/8)

SOLUTION TO 194. THE GARDEN WALLS. (6/8)

SOLUTION TO 194. THE GARDEN WALLS. (5/8)

SOLUTION TO 194. THE GARDEN WALLS. (4/8)

SOLUTION TO 194. THE GARDEN WALLS. (3/8)

SOLUTION TO 194. THE GARDEN WALLS. (2/8)

SOLUTION TO 194. THE GARDEN WALLS. (1/8)

SOLUTION TO 83. DIGITAL MULTIPLICATION.

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the highest nor the lowest sum so obtainable. Can you find the solution of the problem that gives the lowest possible sum of digits in the common product? Also that which gives the highest possible sum? (2/2)

83. DIGITAL MULTIPLICATION. Here is another entertaining problem with the nine digits, the nought being excluded. Using each figure once, and only once, we can form two multiplication sums that have the same product, and this may be done in many ways. For example, 7 × 658 and 14 × 329 contain all the digits once, and the product in each case is the same--4,606. Now, it will be seen that the sum of the digits in the product is 16, which is neither (1/2)

SOLUTION TO 78. ODD AND EVEN DIGITS.

78. ODD AND EVEN DIGITS. The odd digits, 1, 3, 5, 7, and 9, add up 25, while the even figures, 2,
4, 6, and 8, only add up 20. Arrange these figures so that the odd ones and the even ones add up alike. Complex and improper fractions and recurring decimals are not allowed.

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