Ruzzle/Riddle Thread

the king had 3 sons.
each of them had 2 sons. (that makes 3 out of 100 offsprings, who had 2 offsprings).
each of the 6 grandsons had 2 sons, which makes 12 more sons (3+6 / 100).
the 12 sons of this generation all had 2 sons, which makes 24 more kids. (3+6+12 / 100).
each of the 24 had 2 sons, and another 48 offspring (and 3+6+12+24 out of 100 allowed offspring have had 2 sons).
the 48 sons have all 2 sons. 3+6+12+24+48=93, so 7 of the 96 sons of this generation may have 2 sons.
this makes 14 more sons, and no more can be born.

adding all together, we have 3+6+12+24+48+96+14=203.
 
Answer 203 is correct.

If you visualise a tree structure it must begin with a single 1 person (excl. the king because he is not an offspring - in the context of the riddle)

then you must have 3 beginings ot tree structures: at least one (of these 3) must be continued to get 100 offspring (which consequently will have two children. You must get an even number + three beginnings of the tree (thats the core of the riddle) the only mistake which people often make here is that they come to 303 (asuming that all 100 had 2 children in one generation).

Nice work,

my apology for the confusing formulation of the riddle.
 
Let's go further, the following row beat me, but I know the sollution now..
fill the misnig number

10 11 12 ? 20 22 1000
 
haha, nah, i have come with so many answers but i doubt that any is right. Some of them, 18, 13, 1000, 0

:)
 
Next riddle:

13 people came into a hotel which had only 12 rooms (but the hotel also had a clever owner). The owner gave the first room to the guest number one and simultaineously asked the thirteenth guest to wait with the guest nr. 1 in his room (so that he had 2 guests in the room nr. 1) then he took the guest nr. 3 and put him in the room nr. 2 then he took the guest nr. 4 and put him in the room nr. 3 then he took the guest nr. 4 and put him in the room nr. 3 and so it went untill he took the guest nr. 12 and put him in the room nr. 11. Then he went to the guest nr. 13 (waiting in the room nr. 1) and put him in the room number 12.

Explain how's that possible
 
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There is a room 7 X 10

You get 2 pieces floorcloth 8 X 8 and 6 X 1.

The piece 8 X 8 you can cut once any shape of cut possible/allowed as far it is <b>one cut. </b>
The 3 pieces you will get after cutting must cover the whole floor of the room absolutely.

How about this one?
 
i do not get it.

7 * 10 = 70

8 * 8 = 64
6 * 1 = 6

64 + 6 = 70


but what is all that about cutting. it may be my poor english but i actually do not understand the problem, merely the figures.
 
You have two pieces of the floorcloth (carpet) which do not fit the size of the room.
(though as you have proven) they are big enough to cover that space. The bigger piece 8X8 can be cut in two pieces. No other cuts are allowed. (it would be a bit easier if you could cut the 2 original pieces into 1 square meter pieces and covered the floor with all the pieces but it is not allowed).
 
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Well, there's my solution.
Are there prizes? ;)
 
what?! you were allowed to cut that much? i thought you could only cut once, one straight line.
 
oh.. I got the impression, that it had to be a straight cut. Reading the question again, I don't understand why I thought so :rolleyes:
 
OK you deserve a bonus. George Walker goes to visit his "friend" Jack in France and (you know how's relations with France). George is affraid Jack is going to poison him with Franch famous alcohol free wine. CIA informed him that he will be offered the choice from 10 bottles of wine from which he must choose one bottle from which he will drink, one of these bottles will be poisonned. George understands the necessity to test the wine. So he secretely arranges that his people can taste the wine before he choses the bottle from which he will drink. CIA also knows that the poison wil kill in about 1 hour. So it is 18.00 now and at 20.00 Jack will make a toast by which George has to participate. How many testers must George now (at 18.00) have to taste the wine to know for sure which bottle is poisonned? For diplomatical ceremonial reasons it is not enough if George knows that one of the bottles is not poisonned it is importand that he knows exactly which bottle is the poisonned one.

The good answer must be the minimal number of testers thus the answer cannot be 10. The poster who will argue the lowest number of testers necessary to point out the poisonned bottle will win this puzzle and save George.
 
he will merely need one tester, because if that bottle is the p o i s o n e d one then he simply picks another one, and if it is not p o i s o n e d then he simply picks that one
 
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To test 10 bottles in two hours you need more then one tester. If you had more time you could let somebody test all 10 bottles in 10-12 hours, who would die after drinking the poisonous wine, but you do not have that time you have less then 2 hours.
 
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