Can You Follow the Series?

What's the next letter in the following series?

A C F H K M ?

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?

From a Certain Point of View

What must you do to make the equation below true?

81 X 9 = 801

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.

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.

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?

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 ?