Cryptic answers:

1. Isle possessing band (10) (3 words)

2. What about embracing it through great makeover? (13) (2 words)

3. Turn leaves within same time as audiences (11)

4. Note about trophy supply (14) (2 words) Answer i thought: Great Smeaton

5. Arrives in West Ham through City outskirts (12) (2 words) Answer i thought: Cold Hiendley

6. Land vehicle next to water pipe with bend in (13) (2 words) Answer i thought: Purston Jaglin

7. Cart? What about power? (13) (3 words)

]]>These are the conditions in Baldyville:

1. No two inhabitants have the same number of hairs on their head.

2. No inhabitant has exactly 518 hairs.

3. There are more inhabitants in town than hairs on any individual inhabitant's head.

What is the highest possible number of inhabitants?

**This old topic is locked since it was answered many times. You can check solution in the Spoiler below.**

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Baldyville - solutionThere can live maximum of 518 people in the town. By the way, it is clear that one inhabitant must be baldy, otherwise there wouldn’t be a single man in the town.

]]>These are the conditions in Baldyville:

1. No two inhabitants have the same number of hairs on their head.

2. No inhabitant has exactly 518 hairs.

3. There are more inhabitants than any inhabitant's hair in the town.

What is the highest possible number of inhabitants?

A square medieval castle on a square island is under siege. All around the castle there is a square moat 10 meters wide. Due to a regrettable miscalculation the raiders have brought footbridges, which are only 9.5 meters long. The invaders cannot abandon their campaign and return empty-handed.

How can the assailants resolve their predicament?

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Castle - solutionYou can put one foot-bridge over one corner (thus a triangle is created). Then from the middle of this foot-bridge lay another foot-bridge to the edge (corner) of the castle. You can make a few easy equations confirming that this is enough.

]]>A square medieval castle on a square island was under siege. All around the island, there was a 10 metre wide water moat. But the conquerors could make foot-bridges only 9.5 metres long. Nevertheless a wise man was able to figure out how to get over the water. What do you think was his advice?

(There's a place on the other side to put the bridge against, not just a sheer wall. the water moat has square corners - that section of the moat is about 14.1 metres wide.)

This logic puzzle was published in Martin Gardner's column in the Scientific American.

You are in a room with no metal objects except for two iron rods. Only one of them is a magnet.

How can you identify which one is a magnet?

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Magnet - solutionYou can hang the iron rods on a string and watch which one turns to the north (or hang just one rod).

Gardner gives one more solution: take one rod and touch with its end the middle of the second rod. If they get closer, then you have a magnet in your hand.

The real magnet will have a magnetic field at its poles, but not at its center. So as previously mentioned, if you take the iron bar and touch its tip to the magnet's center, the iron bar will not be attracted. This is assuming that the magnet's poles are at its ends. If the poles run through the length of the magnet, then it would be much harder to use this method.

In that case, rotate one rod around its axis while holding an end of the other to its middle. If the rotating rod is the magnet, the force will fluctuate as the rod rotates. If the rotating rod is not magnetic, the force is constant (provided you can keep their positions steady).

]]>This is a logic puzzle published in Martin Gardner's column in the Scientific American.

You are in a room where there are no metal objects except for two iron rods. Only one of them is a magnet.

How can you identify this magnet?

Two girls are born to the same mother, on the same day, at the same time (Edit: of course, not both at once - one right after the other - you know what I mean ), in the same month and year and yet they're not twins. How can this be?

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Twins - solutionThe two babies are two of a set of triplets.

There are a few trees in a garden. On one of them, a pear tree, there are pears (quite logical). But after a strong wind blew, there were neither pears on the tree nor on the ground. How come?

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Pears - solutionAt first, there were 2 pears on the tree. After the wind blew, one pear fell on the ground. So there where no pears on the tree and there were no pears on the ground.

Another possible solutions: The wind blew so hard that the pears fell of the tree and blew along the ground into the water or hovering in the air in a tornado.

If I went halfway to a town 60 km away at the speed of 30 km/hour, how fast do I have to go the rest of the way to have an average speed of 60 km/hour over the entire trip?

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Speeding up - solutionThis one has no solution. Unless we are complicating it with relativity theory - time and space. But to keep it simple, you can't reach the desired average speed under the given circumstances.

However, there is another option for the original wording - a detour. Think about that

]]>If I go halfway to the town (which is 60 km away) at the speed of 30 km/hour, how fast do I have to go for the rest of the way to have the average speed of the entire way 60 km/hour?

Edit:"rest of the way" means to the town and not an inch farther and the total distance traveled has to be exactly 60 km (this is just to explain how I meant the riddle to be understood)

Barbera's daughter is my daughter's mother. Who am I to Barbera?

Mother

Grandmother

Daughter

I am Barbera

Great Grand Mother

Great Grand Daughter

]]>

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A basket contains 5 apples. Do you know how to divide them among 5 kids so that each one has an apple and one apple stays in the basket?

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Apples - solution4 kids get an apple (one apple for each one of them) and the fifth kid gets an apple with the basket still containing the apple.

Here's a variation on a famous puzzle by Lewis Carroll, who wrote Alice's Adventures in Wonderland.

A group of 100 soldiers suffered the following injuries in a battle: 70 soldiers lost an eye, 75 lost an ear, 85 lost a leg, and 80 lost an arm.

What is the minimum number of soldiers who must have lost all 4?

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Cost of War - solutionAdd up all the injuries, and you find that 100 soldiers suffered a total of 310 injuries. That total means that, at a minimum, 100 soldiers (Edit: it is, of course, not 100 soldiers, but 100 as calculation from 310 person-injuries out of 400 possible) lost 3 body parts, and 10 (the remainder when dividing 310 by 100) must have lost all 4 body parts. (In reality, as many as 70 may have lost all 4 body parts.)

Edit: another way to solve it is to draw a line of 100 parts and compare injuries from opposite ends of the line, finding the intersection part of all 4 injuries. If left side of line (LS), right side (RS) and intersection (I), then:

70 (LS) and 75 (RS), then 45 (I)

45 (LS) and 85 (RS), then 30 (I)

30 (LS) and 80 (RS), then

10(I) soldiers must have lost all 4 parts

A poor farmer went to the market to sell some peas and lentils. However, as he had only one sack and didn't want to mix peas and lentils, he poured in the peas first, tied the sack in the middle, and then filled the top portion of the sack with the lentils. At the market a rich innkeeper happened by with his own sack. He wanted to buy the peas, but he did not want the lentils.

Pouring the seed anywhere else but the sacks is considered soiling. Trading sacks is not allowed. The farmer can’t cut a hole in his sack.

How would you transfer the peas to the innkeeper’s sack, which he wants to keep, without soiling the produce?

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Sack - solutionPour the lentils into the innkeeper’s sack, bind it and turn inside out. Pour in the peas. Then unbind the sack a pour the lentils back to your sack.

]]>A poor farmer went to a market to sell some peas and lentils, however as he had only one sack and didn't want to mix peas and lentils, he poured in the peas at first, bound the sack up and than poured in the lentils. At the market a rich innkeeper wanted to buy the peas, but he did not want the lentils.

How would you solve this problem if you had only the sack of the innkeeper, which he wants to keep (without devaluing the goods).

Edit: Pouring the goods anywhere else than in sacks (eg. on the ground, table etc.) is considered as devaluing. Trading sacks is not allowed.

A man who lives on the tenth floor takes the elevator down to the first floor every morning and goes to work. In the evening, when he comes back; on a rainy day, or if there are other people in the elevator, he goes to his floor directly. Otherwise, he goes to the seventh floor and walks up three flights of stairs to his apartment.

Can you explain why?

(This is one of the more popular and most celebrated of all lateral thinking logic puzzles. It is a true classic. Although there are many possible solutions that fit the conditions, only the canonical answer is truly satisfying.)

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The Man in the Elevator - solutionThe man is a of short stature. He can't reach the upper elevator buttons, but he can ask people to push them for him. He can also push them with his umbrella.

]]>A man lives on the tenth floor of a building. Every morning he takes the elevator down to the lobby and leaves the building. In the evening, he gets into the elevator, and, if there is someone else in the elevator - or if it was raining that day - he goes back to his floor directly. Otherwise, he goes to the seventh floor and walks up three flights of stairs to his apartment. Can you explain why?

(This is probably the best known and most celebrated of all lateral thinking logic puzzles. It is a true classic. Although there are many possible solutions which fit the initial conditions, only the canonical answer is truly satisfying.)

A girl who was just learning to drive went down a one-way street in the wrong direction, but didn't break the law. How come?

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One-Way Street - solutionShe was walking.

Find the mistake in these mathematical equations.

x = 2

x(x-1) = 2(x-1)

x2-x = 2x-2

x2-2x = x-2

x(x-2) = x-2

x = 1

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Why 1 = 2 - solutionThe equation is solved the right way, apart from one little detail. There must be stated that x does not equal y, because there would be dividing by zero, which is not defined in maths.

An anthropologist studying a primitive tribe in a remote location in the Amazon basin, had uncovered a strange tribal custom. Whereby, if a husband found out his wife was unfaithful to him, he must execute her in a public ceremony in front of the whole tribe on the same day at midnight. It so happened that every man in the tribe knew about every cheating wife except his own, since telling a man about his cheating wife was against the tribal honor code. On the day of his departure, the anthropologist held a tribal meeting and made the announcement: “I know there are unfaithful wives in this tribe.” On the ninth day thereafter all cheating wives were executed at the same time.

How many unfaithful wives were there?

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Josephine - solutionThe two questions for scroll #1 were:

1. How many husbands were shot on that fateful night?

2. Why is Queen Henrietta I revered in Mamajorca?

The answers are:

If there are n unfaithful husbands (UHs), every wife of an UH knows of n-1 UH's while every wife of a faithful husband knows of n UHs. [this because everyone has perfect information about everything except the fidelity of their own husband]. Now we do a simple induction: Assume that there is only one UH. Then all the wives but one know that there is just one UH, but the wife of the UH thinks that everyone is faithful. Upon hearing that "there is at least one UH", the wife realizes that the only husband it can be is her own, and so shoots him. Now, imagine that there are just two UH's. Each wife of an UH assumes that the situation is "only one UH in town" and so waits to hear the other wife (she knows who it is, of course) shoot her husband on the first night. When no one is shot, that can only be because her OWN husband was a second UH. The wife of the second UH makes the same deduction when no shot is fired the first night (she was waiting, and expecting the other to shoot, too). So they both figure it out after the first night, and shoot their husbands the second night. It is easy to tidy up the induction to show that the n UHs will all be shot just on the n'th midnight.

]]>The recent expedition to the lost city of Atlantis discovered scrolls attributed to the great poet, scholar, philosopher Josephine. They number eight in all, and here is the first.

The kingdom of Mamajorca, was ruled by queen Henrietta I. In Mamajorca women have to pass an extensive logic exam before they are allowed to get married. Queens do not have to take this exam. All the women in Mamajorca are loyal to their queen and do whatever she tells them to. The queens of Mamajorca are truthful. All shots fired in Mamajorca can be heard in every house. All above facts are known to be common knowledge.

Henrietta was worried about the infidelity of the married men in Mamajorca. She summoned all the wives to the town square, and made the following announcement. "There is at least one unfaithful husband in Mamajorca. All wives know which husbands are unfaithful, but have no knowledge about the fidelity of their own husband. You are forbidden to discuss your husband's faithfulness with any other woman. If you discover that your husband is unfaithful, you must shoot him at precisely midnight of the day you find that out."

Thirty-nine silent nights followed the queen's announcement. On the fortieth night, shots were heard. Queen Henrietta I is revered in Mamajorcan history.

Edit (implied questions moved from solution to the wording of the puzzle):

The two questions for scroll #1 were:

1. How many husbands were shot on that fateful night?

2. Why is Queen Henrietta I revered in Mamajorca?

The circumference of the Earth is approximately 40,000 km. If we made a circle of wire around the globe, that is only 10 meters (0.01 km) longer than the circumference of the globe, could a flea, a mouse, or even a man creep under it?

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Wired Equator - solutionIt is easy to compare R and new R (original perimeter = 2xPIxR, length of wire = 2xPIx(new R)) and find out that the result is about 1.6 m. So a smaller man can go under it and a bigger man ducks.

]]>The circumference of the globe is approximately 40,000 km. If we made a circle of wire around the globe, that is only 10 metres longer than the circumference of earth (Edit: circumference of globe), could a flea, a rabbit or even a man creep under it?

• Why can't a man living in the USA be buried in Canada?

• Is it legal for a man in California to marry his widow's sister? Why?

• A man builds a house rectangular in shape. All sides have southern exposure. A big bear walks by, what color is the bear? Why? (similar to the Bear riddle in the section Einstein's Riddles)

• If there are 3 apples and you take away 2, how many do you have?

• How far can a dog run into the woods?

• One big hockey fan claimed to be able to say the score before any game. How did he do it?

• You can start a fire if you have alcohol, petrol, kerosene, paper, candle, coke, a full matchbox and a piece of cotton wool. What is the first thing you light?

• Why do Chinese men eat more rice than Japanese men? (Edit: Why do Chinese men eat more rice than Japanese men **do**?)

• What word describes a woman who does not have all her fingers on one hand?

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The Short Ones - solutions• Why should a living man be buried?

• No, it is not legal to get married if you are dead.

• The bear is white since the house is built on the North Pole.

• If you take 2 apples, than you have of course 2.

• The dog can run into the woods only to the half of the wood – than it would run out of the woods.

• The score before any hockey game should be 0:0, shouldn’t it?

• A match, of course.

• There are more Chinese men than Japanese men.

• Normal – I wouldn’t be very happy if I had all my fingers (10) on one hand.

A passenger train leaves New York for Boston traveling at the speed of 80 km/hr. In half an hour a freight train leaves Boston for New York traveling at the speed of 60 km/hr.

Which train will be further from New York when they meet?

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Trains - solutionOf course, when the trains encounter, they will be approximately the same distance away from New York. The New York train will be closer to New York by approximately one train length because they're coming from different directions. That is, unless you take "meet" to mean "perfectly overlap".

]]>A train leaves New York for Boston. Five minutes later another train leaves Boston for New York, at double the speed. Which train will be closer to New York when they encounter?

A magic wish-granting rectangular belt always shrinks to 1/2 its length and 1/3 its width whenever its owner makes a wish. After three wishes, the surface area of the belt’s front side was 4 cm^{2}.

What was the original length, if the original width was 9 cm?

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Belt - solutionThe original length of belt was 96 cm.

]]>A magic rectangular belt always shrinks its length to 1/2 and width to 1/3 whenever its owner wishes something. After three such wishes, its surface (Edit: surface area of the front side) was 4 cm

^{2}. What was the original length, if the original width was 9 cm?

A Petri dish hosts a healthy colony of bacteria. Once a minute every bacterium divides into two. The colony was founded by a single cell at noon. At exactly 12:43 (43 minutes later) the Petri dish was half full.

At what time will the dish be full?

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Biology - solutionThe dish will be full at 12:44.

Answer for old wording:The saucer was half full at 11.59 - the next minute there will be twice as many of them there (so full at 12.00).

]]>Let's say some primitive organisms divide themselves every minute in two equal parts that are the same size as the original organism, and which also divide the next minute and so on [wording amended]. The saucer in which we started observing this process was full at 12.00.

When was it half full?

13 people came into a hotel with 12 rooms and each guest wanted his own room. The bellboy solved this problem.

He asked the thirteenth guest to wait a little with the first guest in room number 1. So in the first room there were two people. The bellboy took the third guest to room number 2, the fourth to number 3, ..., and the twelfth guest to room number 11. Then he returned to room number 1 and took the thirteenth guest to room number 12, still vacant.

How can everybody have his own room?

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Hotel - solutionOf course, it is impossible. Into the second room should have gone the 2nd guest, because the 13th guest was waiting in room number 1.

]]>13 men came into a hotel with 12 rooms and everybody wanted his own room. The bellboy solved this problem.

He asked the thirteenth guest to wait a moment with the first guest in room number 1. So in the first room there were two people. The bellboy took the third guest to room number 2, the fourth to number 3, ... and the twelfth guest to room number 11. Then he returned to room number 1 and took the thirteenth guest to empty room number 12.

How can everybody have his own room?

Connect all 9 dots with 4 straight lines without lifting the pencil off the paper, and without going over the same line twice.

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Open Polygon - solution

Is it correct that seven and five *is* thirteen or seven and five *are* thirteen?

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What is Correct - solutionOf course, adding seven to five makes twelve and not thirteen.

An Arab sheikh tells his two sons to race their camels to a distant city to see who will inherit his fortune. The one whose camel is slower wins. After wandering aimlessly for days, the brothers ask a wise man for guidance. Upon receiving the advice, they jump on the camels and race to the city as fast as they can.

What did the wise man say to them?

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Sheikh’s Heritage - solutionThe wise man told them to switch camels.

]]>An Arab sheikh tells his two sons to race their camels to a distant city to see who will inherit his fortune. The one whose camel is slower will win. The brothers, after wandering aimlessly for days, ask a wise man for advice. After hearing the advice they jump on the camels and race as fast as they can to the city.

What does the wise man say?