496. What common phrase does the following arrangement represent?

GL A SS

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?

April is six, May is nine, and June is twenty.

498. A farmer has twenty sheep, ten pigs, and ten cows. If we call the pigs cows,
how many cows will he have?

Ten cows. We can call the pigs cows, but it does not make them cows.

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?

500. Make a dent in your mental energy and complete the word below by filling in
the missing letters.

_ Y _ _ R _ R _ T _ C _ L

H Y P E R C R I T I C A L.

501. The names of seven people are hidden in the sentence below. Can you
find them? The letters are in consecutive order.

Can dyeing a bedspread cause this much trouble?

Candy, Andy, Inga, Gabe, Abe, Ed, Seth.

502. Here's a palindrome for you!!

What command did the people having a picnic give the low flying cloud?

G _ _ _ _

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?

Jason and Dean were both clergymen. Dean married Jason to Denise, which explains why they share the same wedding anniversary. Jason married Jackie to a man whose name happens to be Peter. On another occasion, John married Dean to a girl called Paula.

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.

ail --- sail; hall --- shall.

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?

506. In a math test, Sue lost to Sally, but not to Jane. Alice lost to
Jane. Jane was neither first nor last. Sally beat Sue. Jane lost to Sue. Tina scored lower than Alice. Who came in last?

Tina. (Sally, Sue, Jane, Alice, Tina).

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?

There were three girls: one blonde, one brunette, one redhead.

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?

One. Take a piece of fruit from the box marked "apples and oranges." Suppose the fruit you take is an apple. Then that box must be the box containing just apples. Therefore, the box marked
"oranges" can not be the box containing just apples, and it can not be the box containing just oranges either -- so it must be the box containing apples and oranges. The remaining box is therefore the box containing just oranges. If you want to suppose that the fruit you take is an orange, then the box marked
"apples and oranges" is the box containing just oranges; the box marked "apples" is the box containing both apples and oranges; and the box marked
"oranges" is the one containing just apples.

509. What is the largest number you can write using the digits 1, 2, and 3? Just the
digits, no other symbols.

3^{21} or 10,460,353,203.

510. What two numbers have a product of 48 and, when the larger number is divided
by the smaller, a quotient of 3?