Critical Thinking Puzzle

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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?

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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?

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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?

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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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  • 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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