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The first student, Joe, can cross the bridge alone in 5 minutes. (He's a track star.)
The second student, Torey, can cross the bridge alone in 10 minutes.
The third student, Sarah, can cross the bridge alone in 20 minutes.
The fourth student, Mike, can cross the bridge alone in 25 minutes. (He has a sore ankle).
Now, when two students walk together, they must move at the rate of the slowest person!
THREE WEALTHY MEN AND THREE ROBBERS
THREE WEALTHY MEN AND THREE ROBBERS ARE TRAVELING TOGETHER. THEY COME TO A RIVER THAT THEY MUST CROSS. THE ONLY BOAT AVAILABLE CARRIES TWO PEOPLE AT A TIME. THE WEALTHY MEN MUST BE CAREFUL THAT THERE ARE NEVER MORE ROBBERS THAN WEALTHY MEN ON THE SAME SIDE OF THE RIVER OR THEY WILL BE ROBBED. HOW MANY TRIPS WILL IT TAKE FOR THEM ALL TO CROSS SAFELY???
The Three Intelligent Women Problem
Three intelligent women were applying for a computer job for which they were equally qualified. The interviewer, who was also pretty smart and liked games of logic (she was a retired math teacher), decided that the job would go to the applicant who could first solve this problem:
The interviewer said: "I will blindfold you and place a mark on each of your foreheads. Each of you will either have a black or a white mark. When I tell you to take your blindfolds off, you are to raise your hand if you see a black mark on the foreheads of either of the other applicants. The first one that correctly tells the color of your own mark will get the job."
All three women raised their hands at the same time. One of them, however, came up with the correct color of her own mark. What color is her mark, and how did she figure it out?
THE CENSUS-TAKER
A Census-taker stopped at a lady's house and wanted to find out how many children she had. The lady, a math teacher, wanted to see if the Census-taker still knew his math.
Census-taker to lady: How many children do you have?
Lady: Three.
Census-taker: How old are they?
Lady: the product of their ages is 36.
Census-taker: Well, that's just not enough information.
Lady: The sum of their ages is our house number.
Census-taker looks at the house number thinking this would give it away, but says: Still not enough information!.
Lady: My oldest child plays the piano.
Census-taker: AHA! I know now. Thank you!
How did the census-taker figure out their ages? CAN YOU? Don't quit. Start out by trying some numbers. What are their ages?
Who's Telling the Truth?
Two tribes live in an island. Those who live on the western side always tell the truth and those who live on the eastern side always lie. A scientist who visits the island hires a native in the center of the island as a guide to help her get around, but she only wants to keep him if he is a truth-teller. She thinks of a plan and says to him: "Please, go ask that other native over there in the distance which side he lives on." When the guide returns he tells the scientist: "He said he lives on the western side." Did the scientist keep him as her guide? How can you determine if the guide was a truth-teller or a liar?
The Antique Button Collection
Venissa's mother has an antique button collection. She has seven triangular shaped buttons. She has six solid yellow buttons and three solid blue buttons. She also has six buttons which are square shaped. Her most expensive button is blue/yellow and it is not triangular or square shaped. Of the triangular buttons, two are solid yellow and one is solid blue. Of the square buttons, two are solid blue and three are solid yellow. Besides her most expensive button, she only has another non-triangular/non-square button in her collection and it is yellow. Can you determine how many buttons are in her collection?
*** CAN YOU PLACE THE NUMBERS 1-8 IN THE SQUARES BELOW SO THAT NO TWO CONSECUTIVE NUMBERS ARE NEXT TO EACH OTHER, EITHER VERTICALLY, HORIZONTALLY OR DIAGONALLY?
The Monty Hall Problem
The Monty Hall Problem gets its name from the TV game show, "Let's Make A Deal," hosted by Monty Hall (See Footnote 1 ). The scenario is such: you are given the opportunity to select one closed door of three, behind one of which there is a prize. The other two doors hide "goats" (or some other such "non-prize"), or nothing at all. Once you have made your selection, Monty Hall will open one of the remaining doors, revealing that it does not contain the prize (See Footnote 2 ). He then asks you if you would like to switch your selection to the other unopened door, or stay with your original choice. Here is the problem: Does it matter if you switch?
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