Monday, March 31, 2008

Friday, March 28, 2008

Arrange and Sum

Take the four digits: 1, 2, 3, and 4 and form a four digit number such as 2,314. You can produce 24 different four digit numbers this way (4 x 3 x 2 x 1 = 24).

Now here's the question. What is the sum of all 24 numbers?

There is a shortcut to answering this question. But feel free to figure out all 24 numbers and start adding with your favorite spreadsheet! Of course, the real question here is figure out the shortcut?

Thursday, March 27, 2008

Wednesday, March 26, 2008

I Could Have Sworn I Posted This Yesterday

I mean, if you had asked me around 3 PM yesterday if I had posted the next question, I would have sworn on the bible...

Take a fish bowl, partly filled with water. Place the bowl on a scale. If you place a fish into the bowl, the total weight of the bowl increases by exactly the amount as the weight of the fish.

Now, hold the fish by the tail and partially introduce it into the water, will the total weight be greater than before we introduced the fish?

No fish were harmed in the making of this question.

Monday, March 24, 2008

Easter Egg Hunt

You are invited to an Easter egg hunt party having 100 colored Easter eggs hidden in the backyard. 20 eggs are colored red, 14 eggs are colored blue, 15 eggs are colored green, 16 eggs are colored brown, 17 eggs are colored yellow and 18 eggs are colored orange. All of these eggs are wrapped with golden wrappers. What is the minimum number of eggs that you should find so that you are sure that you have at least 2 pairs of similarly colored eggs. For example, 2 red eggs and 2 blue eggs. You can also have 2 yellow eggs together with another set of 2 yellow eggs.

Friday, March 21, 2008

That is an Order

Two soldiers have been ordered to do the following:
  1. Peel potatoes
  2. Do the dishes
  3. Mow the lawn
Neither soldier can go on leave until all three are done, so they are both very motivated to get it done as quickly as possible. Each of these chores, when done by one person, takes one hour. They only have one knife, one lawn mower and one sink with room for only one person. If they start at 8 A.M., how soon can they finish? How are they able to minimize the time spent by both of them?

Thursday, March 20, 2008

Next in Fractions

What's the next number in the series?

2/3 7/12 1/2 5/12 1/3 1/4 1/6 ?

Wednesday, March 19, 2008

What Word Added

What one word, added to each initial letter, forms other words?


I suppose there could be more than one answer to this question, but I only know one.

Sorry I didn't post yesterday.

Monday, March 17, 2008

Time is a Fleeting Thing

1) I'm looking at my watch. From this moment on, the hour hand will take exactly twice as long as the minute hand to reach the number six. What time is it?

2) Again, I'm looking at my watch. From this moment on, the hour hand will take exactly three times longer than the minute hand to reach the number six. What time is it?

Friday, March 14, 2008

Well Then, How About This

If the first two were easy, you should jump all over this one.

Which of the following does not belong?

Thursday, March 13, 2008

Was Yesterday Easy?

Then how about this one?

Which of the following does not belong?


Wednesday, March 12, 2008

Which Word

Which of the following words does not belong?


Tuesday, March 11, 2008

A 100 meter long train is traveling at 100 meters per minute. It must pass through a tunnel of 100 meters in length. How long will it take to pass completely through?

Monday, March 10, 2008

Complete the Series

What number best continues the following series?

2 3 3 6 15 ...

Friday, March 07, 2008

Worth Your Weight in Water

Do you know what a cubic yard of water weighs (round off, please)?

Possible Answers/Hint below:

17 lbs
170 lbs
1,700 lbs
500 lbs
98.8 lbs.

Thursday, March 06, 2008

Late at Night

A man is waling at night at a steady pace. As he walks by a street lamp, he notices that his shadow becomes longer. Does the top of the shadow move faster, slower or at the same speed when the shadow is longer as when it is shorter?

Wednesday, March 05, 2008

I May Be Late

I'm looking at my watch. Each minute has a mark. The hour hand is on one mark, while the minute hand is on the next one. What time is it?

But just yesterday, I was looking at my watch and the hour hand was on one mark, while th minute hand was on the previous one. What time was it?

Tuesday, March 04, 2008

Round Robin

Over the weekend a soccer tournament was played between five teams: the Lions, Tigers, Bears, Orioles and Eagles. Each team played once against every other team. A team won 2 points for winning, 1 point for tying and 0 points for losing.

The final point total was:
Lions 6 points
Tigers 5 points
Bears 3 points
Orioles 1 point

What was the Eagles final point total?

Monday, March 03, 2008

Saw This One Over the Weekend

What numbers fit the bill:
a + b + c + d = a * b * c * d

The solutions to a, b, c and d do not have to be unique (i.e. a can equal b).
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