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5 Logical Puzzles To Train Your Brain

31 July 2017

These puzzles are simple enough to be solved over your coffee break. And tricky enough to stump you for hours, sending your mind on a wild goose chase! So let’s do a little brain workout with heavy weights. The mass building, people!

1. The prisoner hat riddle

The 4 criminals are lined up on some steps. They are all facing in the same direction. A wall separates the fourth man from the other three. So, let’s summarize: Man 1 can see men 2 and 3. Man 2 can see man 3. Man 3 can see none of the others. Man 4 can’t see any of the others. The prisoners are wearing hats. There are two white hats and two black hats they wear. The men initially don’t know what color hat they are wearing. They are told to shout out the color of the hat that they are wearing as soon as they know for certain what color it is. They are not allowed to: turn round or move, talk to each other, take their hats off.

Who is the first person to shout out and why?

Man 3 and man 4 can’t see anyone.
Man 1 can see a white and a black hat so he knows that he has two possibilities: he either has a white or a black hat.
Man 2 can see that man 3 has a black hat. And he knows that it would be obvious to man 1 that he is wearing a white hat if he had a black hat. In that case, man 1 would have already shouted. Man 2 concluded that he is wearing a white hat because there were no other options.

2. Roadside difficulties

While changing a tire, a driver accidentally dropped all four wheel nuts into the sewer grate. He tried to find them, but without success. The man was beginning to suspect that he would have to spend many hours by the roadside, when a passing kid suddenly helped him solve the problem. Acting on the kid’s advice, he continued his trip and drove to the nearest service station without accidents.

What was the advice that the child had given the driver?

The advice was to take one wheel nut from each of the other three wheels.

3. A witch’s present

Once upon a time, Prince Charming was searching far and wide for his betrothed. Summer had already ended, when he came upon a shack, inhabited by an old witch. The weary traveler asked if she could grant him refuge for the night. The witch obliged and showed her guest a warm welcome, offering him food, drink and a place to sleep. The next morning, as Prince Charming was preparing to continue on his journey, she gave him a present, saying: ’A time will come, when you’ll find your way barred by a wide river with no bridge. The only way to cross it is to swim to the other bank. This tunic will help you — it won’t let you drown!’.
Prince Charming continued on his journey. A hundred days and nights had passed before he came across the river the witch had warned him about.

But, in the end — he didn’t need to put on the tunic to cross it! Can you guess why?!

Prince Charming visited the old lady at the end of a summer. That is September. He traveled for 100 days, that is roughly 3 months. That is deep inside the winter and the river was frozen. He just walked over it.

4. The rabbit hutch mystery

A farmer keeps rabbits in three large hutches that stand in a row in his back yard. Each of the hutches is painted a different color — red, yellow and green. Until recently, the number of rabbits in the green hutch was twice as large as the number of rabbits in the yellow hutch. Then, one day, the farmer took five rabbits out of the left-side hutch and gave them away to the local school’s pet corner. He also took half of the rabbits that remained in the left-side hutch and moved them to the red colored hutch.

Now, can you guess what color the left-side hutch is?!

The number of rabbits in the green hutch was twice as large as the number of rabbits in the yellow hutch. That means that the number of rabbits in the green hutch has to be an even number. After the farmer removed five rabbits from the left side hutch, it is said that he took the half of the remaining rabbits from it and moved them to the red hutch. That means the far left hatch didn’t have an even number of rabbits before those five rabbits were removed. That means that the far left hutch can’t be the green colored one. But also it can’t be the red one.

Left-side hutch is Yellow.

5. Identify the culprit

Late one evening, a car ran over a pedestrian in a narrow bystreet and drove away without stopping. A policeman who saw the vehicle leave the scene of the accident reported it moving at very high speed. The accident itself was witnessed by six bystanders. They provided the following conflicting accounts of what had happened:
It was a blue car, driven by a man;
The car was moving at high speed, its headlights were turned off;
The car did have license plates, it wasn’t going very fast;
It was a Toyota, it’s headlights were turned off;
The car didn’t have license plates, the driver was a woman;
It was a gray Ford.
When the the car and its driver were finally apprehended, it turned out that only one of the six eyewitnesses gave a fully correct description. Each of the other five provided one true and one false piece of information.

Keeping that in mind, can you determine the following:

— What was the car’s brand?
— What color was the car?
— Was the car going fast or slow?
— Did it have license plates?
— Were its headlights turned on?
— Was the driver a man or a woman?

Pay close attention to the testimony of the police officer who was on site. He said one detail, that the car was moving fast. If we take a look at the other testimonies, we can see that only one of them said that the car was moving fast. After that everything comes easy.

Blue Ford.
Id did have license plates.
It was driving really fast.
The headlights were turned off.
The driver was a woman.

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5 Logical Puzzles To Train Your Brain
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