• # Brain Teasers & Puzzles

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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?

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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?

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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 safely

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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?

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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?

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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?

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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?

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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?

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• You have two jars, 50 red marbles and 50 blue marbles. You need to place all the marbles into the jars such that when you blindly pick one marble out of one jar, you maximize the chances that it will be red. When picking, you’ll first randomly pick a jar, and then randomly pick a marble out of that jar. You can arrange the marbles however you like, but each marble must be in a jar.

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• Four people need to cross a rickety bridge at night. Unfortunately, they have only one torch and the bridge is too dangerous to cross without one. The bridge is only strong enough to support two people at a time. Not all people take the same time to cross the bridge. Times for each person:  1 min, 2 mins, 7 mins and 10 mins. What is the shortest time needed for all four of them to cross the bridge?

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