ArcaMax

There are 12 gold coins. One of the coins is fake. It is known that a fake coin weighs either slightly less or slightly more than a real coin. Using a balance scale, how can you find the fake coin, and determine if it weighs less or more than a real coin, in only three weighings?

Five young ladies (Liz, Marge, Sam, Ella and Jenny) went on five different hiking adventures. Each walked a distance of 3, 4, 5, 6, and 7 kilometers (random order). Each were able to take an extraordinary wildlife photograph in different locations (forest, meadow, mountain, river side and bushes) of different animals (rabbit, bird, deer, fox and bear cubs). From the clues below determine where and of what each girl took a photograph of, and the distance each travelled.

1. Liz walked twice as far as the girl who saw the deer. The girl who got a shot of the fox travelled one kilometer less than Jenny. The girl in the bushes was not the one who walked 5 kilometers. The girl on the riverside...

Each of the clues below is for a word that begins with "tri". The clues do not refer to the words themselves, but rather to the word that must be added to "tri". eg. "A description of three goods to encourage sales" would be "triad".

1. Where you would find three peas
2. Passing through three intermediate places on the way to your destination
3. To fish with three hooks and bait
4. To hurl three things at once
5. A small container for three liquids

The following not only describes a book, but it's an anagram for the title. What is it?

Huge water tale stuns. End had you tense.

A particular inn always offers the same nine dishes on its dinner menu: A, B, C, D, E, F, G, H and I. Five foreigners arrive. Nobody tells them which dish corresponds to each letter and so they each select one letter without knowing what they will eat. The innkeeper arrives with the five dishes ordered and puts them in the center of the table so that they can decide who eats what. This goes on for two more nights. The foreigners, who are professors of logic, were able to deduce by the dishes they ordered which letter represents what dish. What could have been the dishes ordered each of the three nights? Note: Each dish was ordered at least once.

The following chart is missing its title. What is it a chart of?

African Elephant - 640
Rhinoceros - 560
Giraffe - 450
Cow - 280
Orangutan - 275
Human Being - 267
Reindeer - 246
Panther - 93
Kangaroo - 40
Rabbit - 31
Hamster - 16
Opossum - 13

Someone offers you the following deal:

There is a deck of 100 initially blank cards. The dealer is allowed to write ANY positive integer, one per card, leaving none blank. You are then asked to turn over as many cards as you wish. If the last card you turn over is the highest in the deck, you win; otherwise, you lose.

Winning grants you $50, and losing costs you only the $10 you paid to play.

Would you accept this challenge?

You have four lengths of gold chain. One is made up of five links, two are made of four links, and one made of three links. These need to be made into one bracelet. The jeweler you have taken them to charges 50 cents to break a link and $1.00 to weld a link back together. You figure it would cost $6.00, but the jeweler finds a cheaper way. What is it and how much will it cost?

There are three persons in a room.

One of them always tells the truth, the others are "alternate liars": they tell the truth then lie, then truth etc, but you do not know if they will start by telling the truth or a lie...

You can ask three questions that MUST be answered by Yes or No.

Find the truth teller.

A swindler once approached an honest man with a die. He handed him the die and told him about the bet. The die had six sides. If the man rolled a ONE, he wins, and gets back twice the amount of his bet. If not, the swindler would keep the bet.

"But...my chances are only one out of six," retorted the man.

"True," grinned the swindler, "But I'll give you three tries to get a one."

The man considered. Three tries, with each try having a 1/6 chance of winning. So his chances of winning is 1/2. Why not give it a try?

Is the bet really fair? If not, what are the chances of the man winning?

Beethoven needs your help! Mozart has been killed at a party in a mansion and Beethoven has been called to the case. The rooms in the mansion are: The Library, The Dining Room, The Music Room, and The Study. Mozart was killed in the Music room. Schubert, Joplin, Hayden, and Gershwin are the suspects. Beethoven has figured out that the suspect that was in the Music Room at the time of the murder is the one who killed Mozart. Find out which suspect was in which room at the time of the murder to figure out the person who killed Mozart!

1. Schubert hated books.
2. Joplin was either eating or practicing piano.
3. Gershwin liked books, but wasn't in the Library.
4. There were...

The five-person city council of Noyes Heights met recently to vote on five proposals. Each of the five council members cast an aye or a nay vote for each of the five proposals, with no absentions. Use the clues below to discover how each council member voted on each of the proposals.

1. Each proposal got a different number of aye votes (possibly zero).

2. All in all, there was one more aye vote than nay vote cast.

3. At no time did Quincy vote nay on two consecutive proposals.

4. Orlando, Penny and Sven voted the same way on the second proposal.

5. Rosina voted aye on the fourth proposal.

6. Quincy and Sven voted differently from each other on each of the first three proposals.

7. ...

Five men at a board games club meet once a week to play their favourite board game 'Hollywood Quest'. In this game each space is colour coded one of five colours, each one representing a category of questions.

The five categories are Books, Celebrities, Films, Music, Television.

The five colours are blue, green, grey, orange and purple.

Can you name all five men, their favorite categories and the colours represented by those categories?

CLUES

1. Mr Everett prefers the purple coloured squares.

2. Mr harper likes Films category best, which is not the blue nor the orange squares.

3. Johns Sanders doesn't like literature-based questions.

4. Patrick's favourite colour is the blue (...

A horse travels a certain distance each day. Strangely enough, two of its legs travel 30 miles each day and the other two legs travel nearly 31 miles. It would seem that two of the horse's legs must be one mile ahead of the other two legs, but of course this can't be true. Since the horse is normal, how is this situation possible?