## The doughnut shop

Why did the doughnut shop close?

The owner got tired of the (w)hole business!

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Why did the doughnut shop close?

The owner got tired of the (w)hole business!

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Two sisters we are, one is dark and one is fair,
In twin towers dwelling we're quite the pair,
One from land and one from sea,
Tell us truly, who are we?

The answer is salt and pepper.

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Find words to fit the clues, all the words end in the same three letters.
_ _ _ _ _ _ Eat quickly
_ _ _ _ _ _ Unverified story
_ _ _ _ _ _ _ An outline

Devour, rumour and contour.

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A sundial has the fewest moving parts of any timepiece. Which has the most?

An hourglass, with thousands of grains of sand.

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You measure my life in hours and I serve you by expiring. I'm quick when I'm thin and slow when I'm fat. The wind is my enemy.

A candle.

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As I was going to the mall I met a man with seven wives, Each wive held two bags, Each bag held a mother cat, Each mother cat had six babies,
How many people were going to the mall?

Just one.

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I build bridges of silver and crowns of gold. Who am I?

The answer is dentist.

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What is unusual about the following words: revive, banana, grammar, voodoo, assess, potato, dresser, uneven?

Take the first letter of each word and place it at the end. It will spell the same word backwards.

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There are 1 million closed school lockers in a row, labeled 1 through 1,000,000.
You first go through and flip every locker open.
Then you go through and flip every other locker (locker 2, 4, 6, etc...). When you're done, all the even-numbered lockers are closed.
You then go through and flip every third locker (3, 6, 9, etc...). "Flipping" mean you open it if it's closed, and close it if it's open. For example, as you go through this time, you close locker 3 (because it was still open after the previous run through), but you open locker 6, since you had closed it in the previous run through.
Then you go through and flip every fourth locker (4, 8, 12, etc...), then every fifth locker (5, 10, 15, etc...), then every sixth locker (6, 12, 18, etc...) and so on. At the end, you're going through and flipping every 999,998th locker (which is just locker 999,998), then every 999,999th locker (which is just locker 999,999), and finally, every 1,000,000th locker (which is just locker 1,000,000).
At the end of this, is locker 1,000,000 open or closed?

Locker 1,000,000 will be open.
If you think about it, the number of times that each locker is flipped is equal to the number of factors it has. For example, locker 12 has factors 1, 2, 3, 4, 6, and 12, and will thus be flipped 6 times (it will end be flipped when you flip every one, every 2nd, every 3rd, every 4th, every 6th, and every 12th locker). It will end up closed, since flipping an even number of times will return it to its starting position. You can see that if a locker number has an even number of factors, it will end up closed. If it has an odd number of factors, it will end up open.
As it turns out, the only types of numbers that have an odd number of factors are squares. This is because factors come in pairs, and for squares, one of those pairs is the square root, which is duplicated and thus doesn't count twice as a factor. For example, 12's factors are 1 x 12, 2 x 6, and 3 x 4 (6 total factors). On the other hand, 16's factors are 1 x 16, 2 x 8, and 4 x 4 (5 total factors).
So lockers 1, 4, 9, 16, 25, etc... will all be open. Since 1,000,000 is a square number (1000 x 1000), it will be open as well.

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What has five finger but is not alive?

A glove.

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