You have 9 balls...

Amp34 said:
I'm now stuck as it depends how they are "ordered according to height".

It could very well be that the same man is actually A and B...
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Not completely clear on the ordering, no, but:

As the 500 men are arranged in an array of 10 rows and 50 columns, can assume that position numbers represent their heights. Hence, the shortest among the 50, 100, 150, ... 450, 500 is person with height 50 i.e. A. Similarly the tallest among 1, 2, 3, 4, 5, ..... 48, 48, 50 is person with height 50 i.e. B. Now, both A and B are the person with height position 50.
 
Q5 answer

Label the chambers 1 through 6. Chambers 1 through 3 have bullets and chambers 4 through 6 are empty. After you spin the cylinder there are six possible outcomes:

1. Chamber 1 is fired first: Player 1 loses
2. Chamber 2 is fired first: Player 1 loses
3. Chamber 3 is fired first: Player 1 loses
4. Chamber 4 is fired first: Player 2 loses (First shot, player 1, chamber 4 empty. Second shot player 2, chamber 5, empty. Third shot player 1, chamber 6 empty. Fourth shot player 2, chamber 1 not empty.)
5. Chamber 5 is fired first: Player 1 loses (First shot, player 1, chamber 5 empty. Second shot player 2, chamber 6, empty. Third shot player 1, chamber 1 not empty.)
6. Chamber 6 is fired first: Player 2 loses (First shot, player 1, chamber 6 empty. Second shot, player 2, chamber 1, not empty)

Therefore player 2 has an 4/6 or 2/3 chance of winning.
 
sedm1000 said:
Not completely clear on the ordering, no, but:

As the 500 men are arranged in an array of 10 rows and 50 columns, can assume that position numbers represent their heights. Hence, the shortest among the 50, 100, 150, ... 450, 500 is person with height 50 i.e. A. Similarly the tallest among 1, 2, 3, 4, 5, ..... 48, 48, 50 is person with height 50 i.e. B. Now, both A and B are the person with height position 50.
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Cool, that's how I essentially thought of the order. :)

Thats the problem with these sort of questions. If you use logic (which you are apparently supposed to) then you can usually come up with more than one answer, logically...
 
sedm1000 said:
Q5
You are in a game of Russian Roulette with a revolver that has 3 bullets placed in three consecutive chambers. The cylinder of the gun will be spun once at the beginning of the game. Then, the gun will be passed between two players until it fires. Would you prefer to go first or second?


[feel free to contribute your 'own' problems]
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Second, so long as we both get to fire from the same chamber. :p
 
Bit more open ended and I am sure there will be some silly answers but there is a neat solution.

Q6
a) Why are manhole covers round?
b) What is the characteristic and what other shapes have it?

edit: No googling...I'm watching you.
 
fuzzy said:
Bit more open ended and I am sure there will be some silly answers but there is a neat solution.

Q6
a) Why are manhole covers round?
b) What is the characteristic and what other shapes have it?

edit: No googling...I'm watching you.
Click to expand...

a) isn't it something to do with them not falling through?
b) diameter is even

??
 
Ah, isn't it because a round manhole cover can't fall into the hole it covers?

EDIT: Characteristic would be that it's diameter stays the same when flipped, much like a hexagon??
 
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fuzzy said:
Bit more open ended and I am sure there will be some silly answers but there is a neat solution.

Q6
a) Why are manhole covers round?
b) What is the characteristic and what other shapes have it?

edit: No googling...I'm watching you.
Click to expand...

no corners so it won't cause cracks in the road?

*thinking like ships hatches here*
 
Q7

3 men walk into a bar and buy a round. Barman says the round cost £30. Each man pays £10 each. The barman realises he's made a mistake and the round actually cost £25, so he gives £1 back to each man and keeps £2 for himself. Each man has paid £9 (3x£9=£27), Add the £2 in the barmans pocket is £29... Where is the extra Pound?
 
Buster2312 said:
Q7

3 men walk into a bar and buy a round. Barman says the round cost £30. Each man pays £10 each. The barman realises he's made a mistake and the round actually cost £25, so he gives £1 back to each man and keeps £2 for himself. Each man has paid £9 (3x£9=£27), Add the £2 in the barmans pocket is £29... Where is the extra Pound?
Click to expand...

People should stop posting this question. There is no extra pound.
 
Buster2312 said:
Bah I thought I was being original there :p

Thats not really an answer though :D
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Fine, I'll explain.

The men didn't spend £27 total (9x3). They spent £25 (8.333333x3) and had £3 returned to them, which if I'm not mistaken is £28 total. The £2 the barman keeps adds it up to £30.
 
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