ArcaMax

Suppose I flip two coins, without letting you see the outcome, and I tell you that at least one of the coins came up heads, what is the probability that the other coin is also heads?

I'm amazing 'cause I've got the force
To hold down a cow or a horse
As you've doubtlessly found,
I am always around,
And I'm constantly working, of course.

What am I?

The initials in the "equation" below stand for words. Can you figure out the phrase? (ex.: 60 S in a M = 60 Seconds in a Minute)

1 = F S on a B C

The initials in the "equation" below stand for words. Can you figure out the phrase? (ex.: 60 S in a M = 60 Seconds in a Minute)

435 M in the US H of R

The initials in the "equation" below stand for words. Can you figure out the phrase? (ex.: 60 S in a M = 60 Seconds in a Minute)

37 C in H P and the G of F
(Clue: Literature)

The Vowel-less Knights are back yet again! Can you place vowels in the following sentences and figure out what the knights are saying? For bonus points, see if you know who said each famous quote.

1. cnnt smltnsl prvnt nd prpr fr wr.
2. f knw nthr th nm nr rslf, wll sccmb n vr bttl.
3. Wr s rgrdd s nthng bt th cntntn f stt plc wth thr mns.

The Vowel-less Knights are back again today ... and they're even more difficult to understand! Can you place vowels in the following three sentences to figure out what they're saying? For extra points, see if you can figure out who said them.

1) shll rtrn.
2) Th sht hrd rnd th wrld.
3) Cm p nd s m smtm.

For those of you who never played the computer game "Might and Magic," the Vowel-less Knights would always say something without vowels. It was up to you, the player, to figure out what they were saying. In their tradition, what are these famous quotes? (And for bonus points, who said them?)

1) Spk sftl nd crr bg stck.
2) gv hm th whl nn yrds!
3) Nvr hv s fw gvn s mch fr s mn.

Slice the six 3-letter words in Group A into individual letters. Then create three 6-letter words for Group B. Each of the Group B words is constructed by splicing one letter from each of the Group A words together. The letters can be spliced in whatever order necessary to create a word in the English language. Each letter from Group A can only be used one time. The Group B words share a common characteristic. One letter of each Group B word is provided.

Group A: ARC, HUT, RID, RIP, SON, TAR
Group B: -A----, --R---, C-----

Can you find a five digit number which has no zeros and no repeated digits, where:

The first digit is a prime number.
The second digit is the fifth digit minus the first digit.
The third digit is twice the first digit.
The fourth digit is the third digit plus three.
The fifth digit is the difference between the first digit and the fourth digit.

Can you unscramble the movies in Part 1 and match them with who the star was in Part 2? And your answer is?

Part 1 1. LANEI
2. TOCMELA
3. GEISNRLM
4. OPCYSH
5. RMAOB
6. PASUARSCT
7. EUTKL

Part 2 1. Kirk Douglas
2. Sylvester Stallone
3. Donald Sutherland
4. Sigourney Weaver
5. Phoebe Cates
6. Richard Harris
7. Anthony Perkins

The Antisocial Club meets every week at Jim's Bar. Since they are so antisocial, however, everyone always sits as far as possible from the other members, and no one ever sits right next to another member. Because of this, the 25-stool bar is almost always less than half full and unfortunately for Jim the members that don't sit at the bar don't order any drinks. Jim, however, is pretty smart and makes up a new rule: The first person to sit at the bar has to sit at one of two particular stools. If this happens, then the maximum number of members will sit at the bar. Which stools must be chosen? Assume the stools are numbered 1 to 25 and are arranged in a straight line.

It is your task to determine how high you can drop a billiard ball without it breaking. There is a 100 story building and you must determine which is the highest floor you can drop a ball from without it breaking. You have only two billiard balls to use as test objects. If both of them break before you determine the answer then you have failed at your task. What is the order of floors that you should drop the balls from to minimize the number of droppings that you will have to make to determine the answer?

Assume that if a ball doesn't break you can reuse it without worrying about it being weakened.

A canal in UK has 13 locks and no water supply at the top. Each lock loses 7000 L of water when used. A truck, capable of carrying 22 tons of water, is rented to bring water from the bottom to the top.

Is the contract reasonable?