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Main Page  »  Logic
View Article  Einstein's Logic Problem

Given:

(a) There are 5 houses in 5 different colors.
(b) In each house lives a person with a different nationality.
(c) These 5 people drink a certain drink, smoke a certain cigar and have a particular pet.
(d) None of the people have the same pet, smoke the same cigar nor drink the same drink.

From the following statements, determine who will Keep the Fish

1: The Brit lives in a red house.
2: The Swede keeps dogs as pets.
3: The Dane drinks tea.
4: The green house is on the left of the white house.
5: The green house owner drinks coffee.
6: The person who smokes Pall Mall rears birds.
7: The owner of the yellow house smokes Dunhill.
8: The man living in the house right in the centre drinks milk.
9: The Norwegian lives in the first house.
10: The man who smokes Blend lives next to the one who keeps cats.
11: The man who keeps horses lives next to the man who smokes Dunhill.
12: The owner who smokes Blue Master drinks beer.
13: The German smokes Prince.
14: The Norwegian lives next to the blue house.
15: The man who smokes Blend has a neighbor who drinks water.

View Article  Jelly Beans
You have a large glass jar filled with Jelly Belly jelly beans. Some are green, some are yellow, some pink, some blue, and some are orange. With your eyes closed, pick out 2 of a like color. How many do you have to grab to be sure you have 2 of the same?
View Article  War Games
Dictator a is planning to slaughter the people of province q and province q anticipates the attack. Dictator a can either attack by air or by sea. Province q can either prepare for an aerial defense or a defense againt an assault by sea. Both sides must choose either an all air or all sea strategy, and they can't divide their armed forces. Given:

* If Dictator a attacks by sea and q defends by sea, the probability of massive slaughter is 80%.
* If Dictator a attacks by sea and q defends by land, the probability of massive slaughter is 100%.
* If Dictator a attacks by land and q defends by land, the probability of massive slaughter is 60%.
* If Dictator a attacks by land and q defends by sea, the probability of massive slaughter is 100%.

What should the strategy of Dictator a be, assuming the goal is to slaughter as many people of Province q as possible? Assume the goal of Province q to be to minimize the probability of mass slaughter. What is the final probability of mass slaughter assuming both utilize an the best strategy?
View Article  Marbles
Suppose that you have two jars, one with 50 red marbles and the other containing 50 blue marbles. First, a jar is picked at random, and then a marble will be picked from the corresponding jar. Placing all of the marbles in the jars, how can you maximize the chances of a red marble being picked? What are the exact odds of getting a red marble using your scheme?
View Article  What day is it?
If yesterday was Wednesday's tomorrow and tomorrow is Sunday's yesterday, what day would today be?
View Article  Diamond Flush
A cardplayer is dealt a poker hand (five cards) from an ordinary playing deck with the standard 52 cards. Find the number x of ways the player could be dealt a diamond flush (five diamonds).
View Article  Pleased to Meet You
If seven people meet each other and each shakes hands only once with each of the other, how many handshakes will have taken place?
View Article  Beatles
The Beatles have a concert that starts in 17 minutes and they must all cross a bridge to get there. All four men begin on the same side of the bridge. It is nightfall, and there is only one flashlight. A maximum of two people can cross at one time. Any party who crosses, either 1 or 2 people, must have the flashlight with them, and the flashlight must be walked back and forth. Each band member walks at a different speed. A pair must walk together at the rate of the slower man's pace:

*Ringo: - 1 minute crossing
*George: - 2 minutes crossing
*Paul:- 5 minutes crossing
*John: - 10 minutes crossing

Example: If Ringo and John go first, 10 minutes have elapsed when they get to the other side of the bridge. If John then returns with the flashlight, a total of 20 minutes have passed and they have missed the concert.

There are two known answers to this problem.
View Article  Fuzzy Logic
One approach to handling fuzzy logic data might be to design a computer using ternary logic so that data could be stored as "true", "false", and "unknown". If each ternary logic element is called a flit, how many flits are required to represent at least 256 different values?

(a) 4
(b) 5
(c) 6
(d) 7
(e) 8

View Article  Formal Validity

If  I do my homework then I will get better grades.

I didn't do my homework.

Therefore, I'm not going to get better grades.

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Valid or Invalid?