The worlds first riddle!

I thought about it for a few seconds and this is what i came up with:

you should do 5 series of 4 samples. Like you explained in your answers 4 samples can be done easily so if you want then al mixed evenly you place them like this

First:
1,2,3,4
2,3,4,5
3,4,5,1
4,5,1,2
5,1,2,3

they have all been mixed the 4 times and the centrifuge is balanced evenly all the time.

maybe it's not the right soloution but it was worth a try

MyO "ALMOST tricked with this one… However, later it was piece of cake"

MyO "However, your gold boxes riddle really cannot be solved with information given"

Magnum "I agree with Mr Mou that answer cannot be deduced "

You are heroes.

The problem cannot be solved with the information given.

The sign on box A says "The sign on box B is true and the gold is in box A". The sign on box B says "The sign on box A is false and the gold is in box A". The following argument can be made: If the statement on box A is true, then the statement on box B is true, since that is what the statement on box A says. But the statement on box B states that the statement on box A is false, which contradicts the original assumption. Therefore, the statement on box A must be false. This implies that either the statement on box B is false or that the gold is in box B. If the statement on box B is false, then either the statement on box A is true (which it cannot be) or the gold is in box B. Either way, the gold is in box B.

However, there is a hidden assumption in this argument: namely, that each statement must be either true or false. This assumption leads to paradoxes, for example, consider the statement: "This statement is false." If it is true, it is false; if it is false, it is true. The only way out of the paradox is to deny that the statement is either true or false and label it meaningless instead. Both of the statements on the boxes are therefore meaningless and nothing can be concluded from them.

In general, statements about the truth of other statements lead to contradictions. Tarski invented metalanguages to avoid this problem. To avoid paradox, a statement about the truth of a statement in a language must be made in the metalanguage of the language.
Common sense dictates that this problem cannot be solved with the information given. After all, how can we deduce which box contains the gold simply by reading statements written on the outside of the box? Suppose we deduce that the gold is in box B by whatever line of reasoning we choose. What is to stop us from simply putting the gold in box A, regardless of what we deduced?


"they have all been mixed the 4 times and the centrifuge is balanced evenly all the time."

I like that answer. However I should perhaps have added, "In one go"

"but it was worth a try" How much is a Try worth?


Now turn your genius to answer this.

Three chests, one was labelled GOLD COINS, the second was labelled SILVER COINS, and the last, GOLD OR SILVER COINS. He stated that all the three labels were all on the wrong chests. Given that one chest contained gold, one silver, and one bronze.


How many chests must Arthur open to deduce which label go on which chest

the last one is easy

All labels are wrong so the bag that is labbelled gold or silver must contain Bronze coins.
The one with Gold has actually silver coins and the last one is a shot for open goal

so he doesn't have to open a single bag

Easy, put them in slots 1,2,5,8 & 9.

OR

If that's too hard to work out you can just fill up another sample with water and then you've got 6 and that's REALLY easy. (If you can't work out a solution for 6 then you shouldn't be playing with a centrifuge )

Quote Magnum, "All labels are wrong so the bag that is labbelled gold or silver must contain Bronze coins. The one with Gold has actually silver coins and the last one is a shot for open goal"

The only one with the right answer.


Well grill me a dingo! As many of you know, Adrian does not say much. But when he does it is time to sit up and take notice.

"Easy, put them in slots 1,2,5,8 & 9.
OR
If that's too hard to work out you can just fill up another sample with water and then you've got 6 and that's REALLY easy. (If you can't work out a solution for 6 then you shouldn't be playing with a centrifuge ) :wink:


The superposition of any two solutions is yet another solution, so given that the factors > 1 of 12 (2, 3, 4, 6, 12) are all solutions, the only thing to check about, for example, the proposed solution 2+3 is that not all ways of combining 2 & 3 would have centrifuge tubes from one sub solution occupying the slot for one of the tubes in another solution. For the case 2+3, there is no problem: Place 3 tubes, one in every 4th position, then place the 4th and 5th diametrically opposed (each will end up in a slot adjacent to one of the first 3 tubes). The obvious generalization is, what are the numbers of tubes that cannot be balanced? Observing that there are solutions for 2,3,4,5,6 tubes and that if X has a solution, 12-X has also one (obtained by swapping tubes and holes), it is obvious that 1 and 11 are the only cases without solutions.

Here is how this problem is often solved in practice: A dummy tube is added to produce a total number of tubes that is easy to balance. For example, if you had to centrifuge just one sample, you'd add a second tube opposite it for balance.


97 baseball teams participate in an annual state tournament. The way the champion is chosen for this tournament is by the same old elimination schedule. That is, the 97 teams are to be divided into pairs, and the two teams of each pair play against each other. After a team is eliminated from each pair, the winners would be again divided into pairs, etc. How many games must be played to determine a champion


A sheet of paper has statements numbered from 1 to 100. Statement n says "exactly n of the statements on this sheet are false." Which statements are true and which are false? What if we replace "exactly" by "at least"


Can a digital logic circuit with two inverters invert N independent inputs
The circuit may contain any number of AND or OR gates.


Name five days of the week without saying - Monday, Tuesday, Wednesday, Thursday, Friday.

Tom said he can hang his hat, walk 100 feet, and shoot a hole right through the hat with a gun while blindfolded. how does he do it

I am third, I can sense, and I am home of many. We aren't the same but we sound like we are. What are the three of us?. I am third, I can sense, and I am home of many. We aren't the same but we sound like we are. What are the three of us

96 games - no need for calculating actually - always one game less then number of participants.

but if you insist: 48 games (49 teams remaining), 24 games (total 72, 25 teams remaining), 12 games (total 84, 13 teams remaining), 6 games (total 90, 7 teams remaining), 3 games (total 93, 4 teams remaining), and then two semifinals and one final game - 96

"96 games - no need for calculating actually - always one game less then number of participants."

Very clever.


What is TALLER sitting than STANDING

How is the letter G like 24:00 hours

When the day after tomorrow will be yesterday, today will be as far from Sunday as today was from Sunday when the day before yesterday is tomorrow. What day is it today

Tom said he can hang his hat, walk 100 feet, and shoot a hole right through the hat with a gun while blindfolded. how does he do it
--->

he hangs his hat over his gun

"he hangs his hat over his gun"

Good lateral thinking.

You will need it for this;

Start with a half cup of tea and a half cup of coffee. Take one tablespoon of the tea and mix it in with the coffee. Take one tablespoon of this mixture and mix it back in with the tea.

Which of the two cups contains more of its original contents

both the same

Quote Magnum, "both the same"

Game, set and match to you.



This riddle seems to be one of those riddles that would be classified as "pretty silly"

What has:
14 legs
4 heads
8 ears
30 fingers
2 tails


If train A leaves Chicago traveling 75mph heading south into a 25mph headwind and train B leaves St. Louis traveling 60 mph with 40mph winds at its back, what are they serving for dinner on both trains


My thunder comes before my lightning.
My lightning comes before my rain.
And my rain dries all the ground it touches.

What am I



11
21
1211
111221
312211
13112221

What would the next line of numbers be

11
21
1211
111221
312211
13112221

What would the next line of numbers be

1113213211 should do it

"1113213211 should do it"

Very nicely



I came, attacked, enslaved seasons and regions.

I am


1_4_7_11_


0_2_3_5_


4_

1, 4, 7, 11, 15 (either x +3 +3 +4 +4 or number of letters in number (3,4,5,6...first higher number with seven letters is fifteen)).

0,2,3,5,7 (prime numbers)

4.....19 (or Bolivia)

15

7 (prime numbers)

19 (or Bolivia)


Oh! Life is sweet

well Try, my answers (at least first two, third was fun) are correct and logical although they possibly aren't those that you were looking for

0_2_3_5_


according to classes i took in math 0 is not a prime number