122. A man went into a bank with exactly $1000, all in dollar bills. He gave the money to a cashier and said, "Put this money into ten bags in such a way that if I call and ask for a certain number of dollars, you can hand me one or more bags, giving me the exact amount called for, without having to open any of the bags." How was the cashier able to do this?
124. A census taker asked a housewife how many people lived in her house and what their ages were. The woman told him that three daughters lived in the house, that the product of their ages was 36, and that the sum of their ages was the number of the house next door. The census taker went next door and looked at the number on the door. When he came back, he told the housewife that the information she had given was insufficient, whereupon she replied, "My oldest daughter is sleeping upstairs." The census taker thanked her and promptly figured out the daughters' ages. What were they and how did he know?
125. Find the six-digit number in which the first digit is one more than the second; the second is one more than the third; the fourth is one less than the third; and the fifth and sixth are the sum of the first and second and...no digit appears more than once.
126. Peter Piper picked a peck of pickled peppers, but how long did it take him? Peter and his friend Paul, working together, could pick a peck in 20 minutes; Paul and his friend Percival, working together, could do the job in 30 minutes. Peter and Percival working together, though, would take 40 minutes to pick a peck. So, how long would it take for Peter to pick a peck of pickled peppers by himself?
128. Two railway trains, one 400 feet long and the other 200 feet long, ran on parallel tracks. It was found that when they went in opposite directions, they passed each other if five seconds, but when they ran in the same direction, the faster train would pass the other in fifteen seconds. A curious passenger worked out the speed of each train from these facts. This, of course, assumes that both trains run at constant speeds. Can you work out the trains' speeds?
129. In the farmyard are a number of sheep and hens. There are twice as many hens as sheep, and if you add the total number of heads between them to the total number of legs, you get 187. How many are there of each animal?
130. AB + CD + (EF/GH) + (I/J) = 100
Each of the ten digits, from 0 to 9 has been used once and only once in the construction of the above sum. Can you replace the letters with the digits? There is more than one valid answer!