Sliding Coins

Image via Wikipedia

A long, metal slide resembling a sliding board has been constructed with 3 holes spaced out along the length of the slide. Coins are placed at the top of the slide and released one after another. For each coin that approaches the first hole the chances are 50 percent that it will fall through the hole. If it makes it past the first hole the chances are 50 percent that it will fall through the second hole. The third hole has the same chances.

How many coins need to be released so that chances are that one coin will make it all the way down the slide?

Free Feet From Facade For Feeling Fabulous

I have two arms, but fingers none.
I have two legs, but cannot run.
I carry well but I have found
not until my feet are off the ground.
What am I?

Feathers to Help You Fly

Many feathers to help it fly,
a body and a head,
but it's not alive,
you determine how far it goes,
you can hold it in your hand,
but it is never thrown.

Fishing for Bobbers

You can paddle your canoe seven miles per hour through any placid lake. The stream flows at three miles per hour. The moment you start to paddle up stream a fisherman looses one of his bobbers in the water fourteen miles up stream of you.

How many hours does it take for you and the bobber to meet?

Drinks and Service on A Friday Night

Five people visit their local restaurant for a drink before dinner. They all have their drink served differently and by different servers. From the clues given below, can you work out which person served whom, which drink they have and in what order they were served.

Someone is served a Cola by Carmen.
Mrs Johnson was not served her Ginger Ale by Marcella.
Mr Weiss was served by Paul.
The person who drinks Cola wasn't served second.
The ice tea drinker was served last.
Marcella served the fourth person in line but they didn't order a Soda Water.
Neither Carmen nor Hans served Mr Petit who was third to be served.
First in line was not Miss La Rue.

Drinkers; Weiss, Muller, Petit, Johnson, La Rue
Servers; Paul, Carmen, Hans, Marcella, Andy
Drinks; Cola, Ginger Ale, Ice, Soda Water, ice tea drinker
Order served; first, second, third, fourth, fifth

Hard to Sing in Primes

Why 12 is not prime, but 11 is, via Wikipedia

The latest release the group Prime Players Three consists of three CDs. Each has a different playing time. Each CD has four tracts and a total playing time of not more that one hour. The four tracks on any one of these CDs each last a prime number of minutes and each one is a different length. Any combination of the three different tracks on any one of the CDs plays for a prime number of minutes.

What are the lengths in minutes of the track on these three CDs?

Monday Morning Logic Is Not My Strong Suit

An apartment building contains six apartments with three upstairs (201,202,203) and three downstairs (101,102,103), each with a single occupant.

Three of them are female - Sally, Denise, and Jenny. Three of them are male - Bob, John, and Tom.

Each person owns a vehicle - two U.S. cars - a Ford Escort, and a Chevy Impala, 3 foreign cars - a Zastava Yugo, a Honda Civic, and a Toyota Corrolla, and a non motorized vehicle - a bicycle.

With the clues below can you show which person lives in each apartment and what vehicle they own?


Bob lives on the lower floor.
Sally lives between John and Denise.
John owns an American car.
The person in Apartment 203 owns a bicycle.
Jenny lives directly below John.
The Yugo owner lives in Apartment 103.
Bob lives between Tom and Jenny.
Tom owns a foreign built car.
The person in apartment 101 drives a foreign built car.
The Impala owner lives on the lower floor.
The Escort owner lives upstairs.
A female owns the bicycle.
A male owns the Escort.
The person in apartment 101 owns the Toyota.