101. The local grocer is a would-be mathematician. He likes to arrange his
apples in nice rows. However, when he lays his apples in rows of 3 he has one left over. When he lays them in rows of 5 he also has one left over. Remarkably
he also has one left over when he arranges them in rows of 7 and 9. 11 seems to be the magic number, for, in rows of 11 there are no apples left over. How many
apples does the grocer have?
102. Which of these numbers is the odd one out?
27 6 11 38 19 51 66 83
103. If three typists can type 9 pages in one and a half hours, how many pages can nine typists type in 3 hours?
104. The numbers on a die are not placed at random. On every pair of opposite
faces the sum of the numbers is 7: 6 is opposed to 1, 5 to 2, and 3 to 4.
There are several other ways of placing six numbers on a die. How many ways are there altogether?
105. If a crab and a half weigh a pound and a half, but the half crab weighs half
as much again as the whole crab, what do half the whole crab and the whole of the half crab weigh?
106. James is now his mother's age if the digits are reversed. Only a year ago, James was exactly one-half his mother's age. How old are they now?
107. If you had a piece of paper that was 0.001 inch thick, how tall a pile would it make if it was doubled fifty times?
108. Find the number that best completes the following sequence.
1 4 9 16 _ 36 49
109. What number gives the same result when it is added to 1 1/2 and when it is multiplied by 1 1/2?
110. What is the number that is 5 more than one-half of one-quarter of one-half of one-quarter of 16,000?