97. First cut out, with a pen-knife, in paste-board or card, The designs numbered 1, 2 and 3, Four of each; after which, as the puzzle is hard, You had better be guided by me To a certain extent; for, in fixing, take care That each portion is fitted in tight, Or they will not produce such a neat little square As they otherwise would if done right. [Illustration] QUITE PROPER. “What is a propaganda,” inquired the teacher. The boy looked at the ceiling, wrinkled his forehead, wrestled with the question a minute or two, and then answered that it was the brother of a proper goose. DECEMBER AND MAY. 98. An old man married a young woman; their united ages amounted to 100; the man’s age, multiplied by 4 and divided by 9 gives the woman’s age. What were their respective ages? 99. A and B set out on a walking expedition at the same time--A from Melbourne to Geelong, and B from Geelong to Melbourne. On reaching Geelong A immediately starts again for Melbourne. Now, A arrives at Geelong four hours after meeting B, but he reaches Melbourne three hours after their second meeting. In what time did each perform the journey? 100. What two numbers are those of which the square of the first plus the second equals 11, and the square of the second plus the first equals 7? A schoolmaster, describing a money-lender, says, “He serves you in the present tense, he lends you in the conditional mood, keeps you in the subjunctive mood, and ruins you in the future.” 101. “How much money have I,” says a father to his son. Son replied, “They don’t teach prophecy at our school.” “Well, they teach arithmetic, I suppose,” rejoined the father, smartly; “if you multiply one-half, one-third, one-fourth, one-sixth, three-quarters, and two-thirds of my money together, the product will be 10368. Now find out how many pence I have.” 102. A person has 1260 quarters of wheat. He sells one-fifth at a gain of 5 per cent., one-third at a gain of 8 per cent., and the remainder at a gain of 12 per cent. Had he sold the whole at a gain of 10 per cent. he would have made £23 2s. more than he did. Find the cost price of one quarter. 103. Is the word “with” ever used as a noun? THE GREAT PUZZLE OF THE CENTURY. 104. Place the nine digits (1, 2, 3, 4, 5, 6, 7, 8, 9) together in such a manner that they will make 100. 105. Also make 100 by using the cipher in addition to the digits. 106. How far apart should the knots of a log-line be to indicate every half-minute, a speed of one mile per hour? 107. Several persons are bound to pay the expenses of a law process, which amount to £800, but three of them being insolvent, the rest have £60 each to pay additional. How many persons were concerned? 108. If five times four are thirty-three, What will the fourth of twenty be?