Mathematical Puzzle
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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?
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- 1 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- 1,614.4K views
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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- 1,613.9K 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- 1,614.1K views
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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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Three ants are sitting at the three corners of an equilateral triangle. Each ant starts randomly picks a direction and starts to move along the edge of the triangle. What is the probability that none of the ants collide?
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A bridge will collapse in 17 minutes.
4 people want to cross it before it will collapse. It is a dark night and there is only one torch between them.
Only two people can cross at a time.
“A” takes a minute to cross.
“B” takes 2 minutes.
“C” takes 5
and “D” takes 10 minutesHow do they all cross before the bridge collapses?
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- 2 votes
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Albert and Bernard just became friends with Cheryl, and they want to know when her birthday is. Cheryl gives them a list of 10 possible dates.
May 15 16 19
June 17 18
July 14 16
August 14 15 17
Cheryl then tells Albert and Bernard separately the month and the day of her birthday, respectively.
Albert: I don’t know when Cheryl’s birthday is, but I know that Bernard does not know, too.
Bernard: At first, I didn’t know when Cheryl’s birthday is, but I know now.
Albert: Then I also know when Cheryl’s birthday is.
When is Cheryl’s birthday?
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The owner of a banana plantation has a camel. He wants to transport his 3000 bananas to the market, which is located after the desert. The distance between his banana plantation and the market is about 1000 kilometer. So he decided to take his camel to carry the bananas. The camel can carry at the maximum of 1000 bananas at a time, and it eats one banana for every kilometer it travels.
What is the most bananas you can bring over to your destination?
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