Brain Teasers & Puzzles
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You are trying to cook an egg for exactly fifteen minutes, but instead of a timer, you are given two ropes which burn for exactly 1 hour each. The ropes, however, are of uneven densities – i e , half the rope length-wise might take only two minutes to burn. How can you cook the egg for exactly fifteen minutes?
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- 1 votes
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On Bagshot Island, there is an airport. The airport is the homebase of an unlimited number of identical airplanes. Each airplane has a fuel capacity to allow it to fly exactly 1/2 way around the world, along a great circle. The planes have the ability to refuel in flight without loss of speed or spillage of fuel. Though the fuel is unlimited, the island is the only source of fuel.
What is the fewest number of aircraft necessary to get one plane all the way around the world assuming that all of the aircraft must return safely to the airport? How did you get to your answer?Notes:
(a) Each airplane must depart and return to the same airport, and that is the only airport they can land and refuel on ground.
(b) Each airplane must have enough fuel to return to airport.
(c) The time and fuel consumption of refueling can be ignored. (so we can also assume that one airplane can refuel more than one airplanes in air at the same time.)
(d) The amount of fuel airplanes carrying can be zero as long as the other airplane is refueling these airplanes. What is the fewest number of airplanes and number of tanks of fuel needed to accomplish this work? (we only need airplane to go around the world)View SolutionSubmit Solution- 1,624.3K views
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You are the ruler of a medieval empire and you are about to have a celebration tomorrow. The celebration is the most important party you have ever hosted. You’ve got 1000 bottles of wine you were planning to open for the celebration, but you find out that one of them is poisoned.
The poison exhibits no symptoms until death. Death occurs within ten to twenty hours after consuming even the minutest amount of poison.
You have over a thousand slaves at your disposal and just under 24 hours to determine which single bottle is poisoned.
You have a handful of prisoners about to be executed, and it would mar your celebration to have anyone else killed.
What is the smallest number of prisoners you must have to drink from the bottles to be absolutely sure to find the poisoned bottle within 24 hours?
View SolutionSubmit Solution- 1,624.6K views
- 3 answers
- 1 votes
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The king’s only children, Abel, Benjamin and Paula, went into the forest with their friend, the elderly Sir Kay. They wanted to try their skill with their bows and arrows. Each of them started with same number of arrows.
When all the arrows had been shot, it was discovered that:1. Sir Kay brought down more game than Princess Paula.
2. Prince Benjamin captured more than Sir Kay.
3. Princess Paula’s arrows went truer than Prince Abel’s.Who was the best marksman that day?
View SolutionSubmit Solution- 1,619.8K views
- 1 answers
- 1 votes
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Meanwhile, back at the castle, the ogre found that the
boots he had picked at random from his dark storeroom
were all six-league boots. He threw them back. He
needed seven-league boots so that he could cover more
territory.
If in that dark storeroom he had four six-league boots
and eight seven-league boots, how many boots did he
have to pull out to make sure he had a pair of sevenleague
boots?View SolutionSubmit Solution- 1,617.7K views
- 1 answers
- 0 votes
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The king had his doubts about his sons’ fighting
skills, and so he sent his two eldest to the court magidan
for potions to help fight the ogre.
The magician kept his magic hidden, mindful of the
danger of his potent potion falling into the wrong
hands. In a secret but inconvenient compartment in his
laboratory, he hoarded:
1. four ogre-fighters
2. three dragon-destroyers
3. two evil wizard-vanquishers
How many potions did he have to reach for in order
to make sure that he could give an ogre-fighter to each
of the king’s two sons?View SolutionSubmit Solution- 1,617.9K views
- 1 answers
- 0 votes
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To enlist the help of the other kingdoms, the king talked to the queen about inviting neighboring royalty to dinner. This put the queen into a royal snit. Theirs was not a very wealthy kingdom and the royal dinnerware was in a disgraceful condition. Apart from ordinary dishes for everyday use, all that the royal pantry contained were a few dinner plates of three different
dinner patterns:
1. five silver ones with birds
2. six crystal with seashells
3. seven gold with the royal crest
They were all stored in disarray on a very dark top shelf of the royal pantry. Only those would be suitable for entertaining other royalty.
If the queen didn’t want to climb up to the top shelf twice, how many dinner plates would she have to take down to be sure she had matching dinner plates for herself, her royal spouse, and for the neighbouring king and queen?View SolutionSubmit Solution- 1,621.3K views
- 1 answers
- 1 votes
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The local king, determined to defend his kingdom from that wicked ogre, sent his two eldest sons to the court swordsmith.
The swordsmith kept a supply of special ogrefighters (four daggers, three swords and two axes) locked in a chest. The two princes insisted on having the same kind of weapon.
How many weapons did the swordsmith have to take out of the chest to be sure he could meet the demands of the princes?View SolutionSubmit Solution- 1,619.2K views
- 1 answers
- 0 votes
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Planning to roam the countryside and prey upon its
defenseless people, the ogre reached into his dark
closet. There he had stored four six-league boots and
eight seven-league boots. How many boots did he have
to pull out of the closet to make sure he had a pair that
matched?View SolutionSubmit Solution- 1,618.0K views
- 1 answers
- 0 votes
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On the day before the spacecraft was to return to
Earth, the Martians held a dinner party for the crew. In
all there were eight at the table: Aken, Bal, Mun, Mark,
Wora, Jones, Rider and Smith.
a. One was a history buff.
b. One was a whiz at math.
c. One was very tall.
d. One was Aken’s friend.
e. One had yellow feathers.
f. One was a pilot.
g. One was a rock collector.
h. One spoke a number of languages.
1. The person who was Aken’s friend sat directly
opposite Mark.
2. Wora sat between the math whiz and Aken’s
friend.
3. The tall one sat opposite Wora, with Aken to her
left.
4. Smith, who had no real friends among the group,
sat to the right of Mun who towered over the rest
of the group.
5. The one who had yellow feathers sat opposite Bal,
between Mun and the one who spoke a number of
languages.
6. Jones was to the right of the rock collector and
opposite the pilot who was next to Rider.
Who was Aken’s friend?View SolutionSubmit Solution- 1,618.7K views
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Four Martians from different groups, the Uti,
Grundi, Yomi and Rafi, gathered for an intraplanetary
conference to discuss the problem of the visiting Earthlings.
As was appropriate for diplomatic envoys, all
were beautifully feathered in different colors, one red,
one green, one blue and the fourth brown. Their names
were Aken, Bal, Mun and Wora.
1. Before the meeting, the Uti had a pleasant breakfast
with Mun.
2. After debating with the Martians in the blue and
the brown feathers, Bal and the Yomi were so angry
that they tore a wingful of feathers out of them
before they were stopped.
3. Wora and the Rafi, however, agreed with the diplomat
with brown feathers, though they disagreed
with the red-feathered Grundi.
Who is the blue-feathered diplomat and to what
group does he or she belong?View SolutionSubmit Solution- 1,618.7K views
- 1 answers
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Kim Jones, Jan Robinson and Pat Smith are the officers
of the spaceship. They serve as the craft’s pilot,
engineer and biochemist, though not necessarily in that
order. Because they have difficulty with Martian names,
they nickname the three Martians who work with them
Jones, Smith and Robinson.
1. Robinson is a Yomi.
2. Jones doesn’t speak any language other than
Martian.
3. Most Martian linguists are Uti.
4. The Martian who serves as interpreter respects the
Martian whose name is the same as the biochemist’s.
5. The Martian whose name is the same as the biochemist
is a Grundi.
6. Jan Robinson beat the engineer at chess.
Who is the pilot?Submit Solution- 1,618.2K views
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Martians don’t need to develop airplanes as a means
of moving through the air. Most feathered Martians can
fly easily. Every few lunars, feathered Martians from
the various groups participate in a tournament to determine
which are the best fliers of the planet.
This lunar, teams of two feathered Martians from
three groups are competing:
1. One team is from the Uti, one from the Grundi,
and one from the Yomi.
2. Each team is made up of one female and one male.
3. The female participants are Xera, Wora, and Teta.
4. The males are called Vel, Pyi, and Rir.
5. Despite her daring feats in the air, Teta had never
been away from home before the contest.
6. Xera and Rir had never met before the tournament.
7. Xera will be visiting Pyi’s group when the Yomi go
on a special excursion to that part of the planet.
8. Pyi admires Teta’s colorful feathers, as well as her
ability to soar, and once watched her and her teammate
in the territory of the Grundi.
If the winners are members of the Uti group, what
are the names of the best fliers?View SolutionSubmit Solution- 1,618.3K views
- 1 answers
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Hostile members of the Uti, Grundi and Yomi groups
were travelling to a conference. There were two members
from each group, one finned and one feathered.
The finned Martian was much stronger, and had to
protect her feathered friend. Never could a feathered
Martian be left alone with a finned Martian of another
group. The only time a feathered Martian was safe with
the finned Martian of another group was when the
feathered Martian of that enemy group was also
present.
The trip was quiet until they came to a deep ravine.
The only way to cross it was by swinging across on a
rope. But the rope was only strong enough to hold two
of them. And it wasn’t heavy enough for them to swing
it back over the ravine without someone to weigh it
down. How did they all cross the ravine?View SolutionSubmit Solution- 1,619.8K views
- 1 answers
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Harassed during important experiments, three Earthlings
were taking three law-breaking Grundi to the authorities.
Suddenly they heard the thunderous roar of a
rockfall, and they knew they were facing sure death
unless they crossed to the other side of the canal. The
portable watercraft they carried with them would hold
only two passengers, regardless of weight. At no time
could there be more Grundi on either side of the water
than Earthlings or the Grundi would overpower the
Earthlings. How could they all cross the water safelyView SolutionSubmit Solution- 1,618.2K views
- 1 answers
- 0 votes
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Two Martians and two Earthlings traveling together
came to a canal. As a result of the gravity on Mars, the
Earthlings each weighed 100 pounds and the Martians
fifty pounds. The watercraft would hold no more than
100 pounds. How did they all cross the canal?View SolutionSubmit Solution- 1,618.2K views
- 1 answers
- 0 votes
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Jonathan Mark gathered three specimens of Martian
plant and animal life to bring back to Earth: a garble, a
farfel and a tsientsien. But Mark was worried. His vehicle
for local travel was not big enough to hold more than
himself and one specimen. Mark knew that garbles will
eat farfels if given half a chance, and farfels will eat
tsientsien. Garbles, however, don’t eat tsientsien, and
tsientsien don’t eat. All the other astronauts were away
from the ship. How could Mark transport the garble,
the farfel and the tsientsien one at a time so that they
would all be safe?View SolutionSubmit Solution- 1,618.0K views
- 1 answers
- 0 votes
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There was trouble from the Grundi. One of them
damaged the spaceship by hurling a rock at it. The
astronauts couldn’t figure out what the Grundi had to
gain by their hostile act. Was it just vandalism, done out
of sheer spite? Or perhaps not everyone on Mars was
happy to see the Earthlings return.
The Martian police chief brought in five Grundi for
questioning. Like all Grundi, they sometimes told the
truth and sometimes lied. The suspects each made
three statements, two of which were true and one of
which was false. And the guilty one was revealed.
1. Zum said:
I am innocent.
I have never used a rock to destroy anything.
Tset did it.
2. Uk said:
I did not do the damage.
The Earthman’s vehicle is on Grundi space.
Yan is not my friend.
3. Pala said:
I am innocent.
I never saw Yan before.
Tset is guilty.
4. Tset said:
I did not throw the rock.
Yan did it.
Zum did not tell the truth when he said I did it.
5. Yan said:
I am innocent.
Uk is guilty.
Pala and I are old friends.
Who was the culprit?View SolutionSubmit Solution- 1,618.4K views
- 1 answers
- 1 votes
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This was astronaut Jose Perez’s fourth visit to Mars
and he had learned to speak Martian. He wanted to
find his Martian friend Doman, but in order to locate
him he had to know what group Doman belonged to.
The three groups in the area were: Uti, Yomi, and
Grundi.
The Uti always told the truth.
The Yomi always lied.
The Grundi sometimes told the truth but sometimes
lied.
Perez needed information. Three Martians, Aken, Bal
and Cwos, each of whom belonged to a different group,
agreed to help him. He asked each one of them two
questions: What group do you belong to? What group
does Doman belong to?
1. Aken said:
I am not a Uti.
Doman is a Yomi.
2. Bal said:
I am not a Yomi.
Doman is a Grundi.
3. Cwos said:
I am not a Grundi.
Doman is a Uti.
What group does Doman belong to?View SolutionSubmit Solution- 1,618.0K views
- 1 answers
- 0 votes
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You have 8 balls. One of them is defective and weighs less than others. You have a balance to measure balls against each other. In 2 weighing, how do you find the defective one?
View SolutionSubmit Solution- 1,620.6K views
- 1 answers
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