108. The combined ages of Mark and Andrew are 44, and Mark is twice as old as Andrew was when Mark was half as old as Andrew will be when Andrew is three times as old as Mark was when Mark was three times as old as Andrew. How old is Mark? If you cannot work it out, ask your friends to help you, and watch the bewilderment creep over their faces as they attempt to grapple with the problem.
109. You bought 2 antique lamps for $50 each. Later, you were offered $60 for one and you sold it, changed your mind when you saw its duplicate being sold for more, and bought it back for $70. You then sold it for $80. The first one didn't sell at all so you reduced it by 10% below what you originally paid and managed to sell it. Did you make or lose money on the deal, and how much?
110. In a foot race, Frances was not last and beat Georgia. Jill beat Ida and Harriet. Georgia beat Jill. Harriet was not first. Ida was neither first nor last and beat Harriet. What was the order in which the runners finished?
111. Using the musical notes C, D, E, F, G, A and B, what is the longest word that can be played on the piano? That is, using some or all of these letters, as many or as few times as you like, what is the longest word you can find? No foreign or hyphenated words allowed.
113. It was a bring your own food party, but not everyone could contribute food. The agreement was that those who didn't bring food would contribute cash. Sally brought a certain amount of pies, Jane brought one more than Sally, and Hector brought one more than Jane. William brought nothing, but asked them to divide the nice little pies equally, and he would pay. The four split the pies evenly. There was a total of a dozen pies, each worth $1.00. How much should each of them get or pay?
114. TWO X TWO = THREE
Each letter stands for one and only one digit, and no digit is represented by more than one letter. Can you work out what digits the letters in the above multiplication stand for so that the identity above is actually correct?
_ T _ _ _ _ _
117. A man planted 2 poles upright in level ground. One pole was 6ft. 6in. and the other was 7ft. 7in. above ground. From the top of each pole he tied a string to the bottom of the other pole, just where it entered the ground. What height above the ground was the point where the two strings crossed? It is of no consequence as to how far apart the poles are. Two feet or two hundred feet, it will not affect the answer.
118. What is the 4-digit number, no zeros, in which the first digit is the number of muses, the second digit is the number of planets between the earth and the sun, and the third and fourth digits are the sum of the first two? (The sum of all the digits is 13.)