497. Of three sisters named April, May, and June, none is yet twenty-one. April is now as old as June was fourteen years ago and two-thirds of May's age. May, on the other hand, will be June's age when May is twice as old as she is now plus two years. Three years ago, May was as old as April is now. How old are April, May, and June?
499. In order to encourage his son to study arithmetic, a father agrees to pay his boy 8 cents for every problem correctly solved and to fine him 5 cents for each incorrect solution. At the end of 26 problems, neither owes anything to the other. How many problems did the boy solve correctly?
503. Jason and Dean were brothers. Jason married Jackie, and Dean married Denise. However, Jason and Denise have the same wedding anniversary. Dean's wedding anniversary was one month before this date, and Jackie's was one month after it. There have been no divorces or remarriages. How do you explain this?
504. Find the word that fits the first definition, then add an "S" in
front of it to make a new word that matches the second definition.
Place an "S" before to be ill, and get part of a boat.
Place an "S" before a corridor, and get future determination.
505. What is the 4-digit number (no zeros) in which the first digit is the cube of two, the second and third digits are the first number doubled, and the fourth digit is the sum of the second and third?
507. John went to a party one night. The next day he was asked if he met a lot people at the gathering. "Figure it out for yourself," John said. "Of the girls I spoke to, all but two were blondes, all but two were brunettes, and all but two were redheads." How many girls did he talk to?
508. There are three boxes of fruit. One contains just apples, one contains just and one contains a mixture of both. Each box is labeled -- one says "apples," one says "oranges," and one says "apples and oranges." However, it is known that none of the boxes are labeled correctly. What is the least amount of fruit that you can remove from the boxes to be able to correctly label them?