Mathematical Puzzle

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 1,191.1K 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 1,191.3K 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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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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There is a building of 100 floors
If an egg drops from the Nth floor or above it will break.
If it’s dropped from any floor below, it will not break.
You’re given 2 eggs.
Find NHow many drops you need to make?
What strategy should you adopt to minimize the number egg drops it takes to find the solution?View SolutionSubmit Solution 1,360.0K views
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Prove that p^2 – 1 is divisible by 24 if p is a prime number greater than 3?
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