ArcaMax

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?

Three people check into a hotel. They pay $30 to the manager and go to their room. The manager finds out that the room rate is $25 and gives $5 to the bellboy to return. On the way to the room the bellboy reasons that $5 would be difficult to share among three people so he pockets $2 and gives $1 to each person. Now each person paid $10 and got back $1. So they paid $9 each, totalling $27. The bellboy has $2, totalling $29. Where is the remaining dollar?

Adam, Ben and Cyril were born in the years 1309, 1310 and 1311 respectively on the same road in old Jerusalem. They lived their whole life there, and all lived to be over 60. They also had a full active life. However, they never crossed paths with each other. Why should that be so?

You are blindfolded before a table. On the table are a very large number of pennies. You are told 128 of the pennies are heads up and the rest are tails up. How can you create two subgroups of pennies, each with the same number of heads facing up, while remaining blindfolded?

What phrase is represented here?

NEBRATED

There are ten body parts whose names are three letters long (not including slang terms). What are they?

Add the same word to each side of the equation to make the equation correct:

OPEN = CLOSED

Below is a list of five countries, all with the vowels removed. Can you name them?

1) LGR
2) CRT
3) THP
4) CDR
5) ND

Remove a letter from each of the words below and rearrange the remaining letters to form new words. The 10 words will all fall into a certain category. For example, given the words DEAR, ANGRY, and RENEGE, you could drop the "A" in DEAR to get RED, drop the "N" in ANGRY to get GRAY, and drop an "E" in RENEGE to get GREEN. These would all fall into the category of "Colors".

If you're stuck, the hint will name the category. The tough part is getting all 10 words.

AGENT
FABLE
PAWNS
TOUSLE
ANOTHER
CARDIAC
CONSULT
GAWKIER
GRUBBED
TEMERITY

Hint: The category is insects.