1. A water-melon cut on four parts and have eaten. It has turned out five korok. Whether can such be?

2. Number 666 to increase in one and a half time, not making above it(him) of any arithmetic actions.

3. There are 9 coins, one of them false, that is is little bit easier. How by means of two weighings on lever weights to define(determine) which?

4. The ends of a cord are fastened in the form of loops. These loops put on on the left and right hands. How to fasten on a cord unit, not removing loops from hands?

5. How many sides at shestigrannogo a pencil?

6. To the smith have brought five circuits, on three parts in everyone, and have charged to connect them in one circuit. The smith has decided to open four rings and again them to chain. Whether It is impossible to perform the same work, having opened there are less than rings?

7. What greatest number of the various parties(sides) can be in a hexagon having an axis of symmetry?

8. On a book shelf there is a three-volume edition. Thickness of each volume 3,5 see the Book worm has crept from the first page of the first volume up to last page of the third volume (as the crow flies). It(he) has done what way? Thickness of a cover to neglect.

9. To divide(undresse) 5 apples between five persons(faces) so that everyone has received on an apple and one apple remains in a basket.

10. The peasant needs to be translated(transferred) through the river of the wolf, a goat and cabbage. But the boat is those, that in it(her) the peasant, and with it(him) either only the wolf, or only a goat, or only cabbage can be located. But if to leave the wolf with a goat, the wolf will eat a goat and if to leave a goat with cabbage the goat will eat cabbage. How has transported the cargo the peasant?

 11. Of six matches to make four equal ravnostoronnykh a triangle.

12. A kind execute in drevnerimskom court depend on last word (more truly a phrase) the criminal. If this phrase appeared truthful, the criminal dumped(reset) from a rock in the sea. If the phrase was false, gave on worry to hungry lions.
   However the chance to be rescueed(saved) at the criminal nevertheless was. Scanty, but chance. If suddenly it(he) has said a phrase after which it(he) could not neither be dumped(reset) in the sea, nor to give lions, it(he) received freedom. Such phrase was said also by one of criminals. What has it(he) told?

13. Tell such history of times of the Second world war. On the bridge connecting hitlerite Germany and neutral Switzerland, there was a German hour. It(he) had an order to shoot at everyone who without corresponding(meeting) documents will try to pass from Germany to Switzerland, and those who will want, too without documents, to get over from Switzerland to Germany, to return back. Under the rules of service which was carried out with German punctuality, hour time at an o'clock per the box exactly for three minutes should leave and to pass the bridge, it was required not less than five-seven minutes.
   The border was protected very strictly. And, nevertheless, from Germany to Switzerland ran every day, and it was done(made) on the same enough to the simple scheme(plan). What it for the scheme(plan)?

14. As four direct lines, not tearing off a pencil from a paper to cross out nine points, located here so:

15. In one fairy tale the owner, employing the worker, has offered it(him) following test:
   Here to you of a flank, fill with its(her) water exactly on half, neither it is more, nor it is less. But look, a stick, a cord or something to another for measurement do not use.
   The worker has coped with the task. How it(he) has made it?

16. Three wise men who from them is wiser have argued once, long they argued, but nobody receded. They have gone(send) then to the fourth wise man, with the request to judge them. The fourth wise man has told it(him): " I have five caps: two black also three white, now I shall fasten to you eyes and I shall put on you caps after I shall remove(shall take off) bandages, you awake to see caps of two other wise men. Who from you the first will tell color of the cap that and will be the wisest, but to remove the cap it is impossible ".
   So they also have acted(arrived), after a while one wise man has correctly named color of the cap. How it(he) has made it?

17. there is a frying pan on which two cutlets are located only, one cutlet to be fried on the one hand one minute. How for three minutes to roast three cutlets?

18. In the morning to director of the big shop the night watchman has come and has informed, that the terrible dream has dreamed it(him): today at 12 o'clock shop gather obokrast. Director has not so believed in such dream, but militia all the same has invited. Exactly at 12 o'clock gangsters have detained at attempt of a robbery of shop. Consequence(investigation) has shown, that the watchman has not been connected with gangsters and to it(him) is valid prividelsya a prophetic dream.
After that director has signed the order on dismissal of the watchman. Why it(he) has made it?

19. Two kavboya often argued, who from them skips on a horse more quickly. Once they have decided to try to argue on the contrary: will win what horse will come to finish of the second. Have started, but ... Nobody gets under way from a place. Passes(takes place) 5 minutes, 10, half an hour... Here the old man has approached(suited) to debaters, has whispered to both of them two words, and - about a miracle! - in 10 seconds of a horse were born(carried) at full speed. What such the old man has told to equestrians?

20. In one room there are three switches, in another - three bulbs, connected with these switches. You are at the switched off switches and bulbs in the next room do not see. How once having come into a room with bulbs to define(determine), what of switches includes what bulb?

 21. there is a lake of the square form and 4 trees on one at each corner

Question: How to increase the size of lake so that trees have remained on its(his) coast and the lake remains square?

22. In some country there are two cities. In one of them there live only people who always speak the truth, in other - only those who always lzhet. All of them go to each other on a visit, i.e. in any of these two cities it is possible to meet both the fair person, and the liar. We shall assume, you have appeared in one of these cities. How, asked the unique question to the first comer to define(determine), in what city you have got - in city fair or in city of liars?

23. Once the traveller has caught up on road of a wise man and has asked: " What is the time to me to go up to the nearest city? ". The wise man has not answered anything, the traveller was surprised and has gone further. After a while the wise man has called to it(him) and has told: " One hour ". " Why you to me have not told earlier? ", - the traveller has asked. What has the wise man answered?