Logic Puzzles

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 1,502.3K views
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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 1,501.9K views
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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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100 prisoners are stuck in the prison in solitary cells. The warden of the prison got bored one day and offered them a challenge. He will put one prisoner per day, selected at random (a prisoner can be selected more than once), into a special room with a light bulb and a switch which controls the bulb. No other prisoners can see or control the light bulb. The prisoner in the special room can either turn on the bulb, turn off the bulb or do nothing. On any day, the prisoners can stop this process and say “Every prisoner has been in the special room at least once”. If that happens to be true, all the prisoners will be set free. If it is false, then all the prisoners will be executed. The prisoners are given some time to discuss and figure out a solution. How do they ensure they all go free?
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A certain town comprises of 100 married couples. Everyone in the town lives by the following rule: If a husband cheats on his wife, the husband is executed as soon as his wife finds out about him. All the women in the town only gossip about the husbands of other women. No woman ever tells another woman if her husband is cheating on her. So every woman in the town knows about all the cheating husbands in the town except her own. It can also be assumed that a husband remains silent about his infidelity. One day, the mayor of the town announces to the whole town that there is at least 1 cheating husband in the town. What do you think happens?
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When can you add 2 to 11 to get 1 as the correct answer?
Hint: many possible
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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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