When you have some free time, it’s hard to resist watching some television or spending time on social media. Basically, anything to avoid using your brain! There’s no shame in relaxing with something undemanding every once in a while.

That being said, it’s nice to challenge yourself every once in a while, too. Just as you should exercise your body to stay strong and healthy, you need to treat your brain like a muscle that requires as much training as anything else!

That’s where these challenging logic puzzles come into play. Take as much time as you need on each of them to give your brain a workout!

1. Four criminals, all facing the same direction, are on a few steps in a line. The fourth man is separated from the other three by a wall. Because of this, the first man can see the second and third man in front of him, the second man can only see the third man, and the third and fourth men can see no one.

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They also have been given rules: They may not move or turn around at all, they may not speak a word to each other, and they must not take their hats off at any point. Assuming they all follow the rules, which one of them is the first to speak up, and why?

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Answer: After taking some time to think about it, Man 2 is the first one who yells out the color of his hat before anyone else. Did you guess correctly? There’s a rhyme and a reason to why this is the answer, of course. So, why is it that he’s the one who speaks first? That’s because the third and fourth men can’t see anyone else, while the first man knows his hat is either black or white because he sees both in front of him.

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2. Prince Charming was searching everywhere for his true love. Just as summer was coming to an end, he encountered an old witch’s shack. Exhausted, the prince asked if she could take him in for just one night. The witch agreed, and was quite hospitable as she gave him a bed, water, and food.

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Prince Charming thanked her and resumed his quest. A hundred days and nights passed before he found the river that the old witch had spoken of. As it turned out, he was able to cross the bridge without the magic tunic! Can you explain why?

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Answer: it was the end of summer—September—when Prince Charming visited the witch, and 100 days went by before he got to the river. It was already the winter by that point, so he was able to walk across the frozen river to the opposite bank with ease!

6-puzzlesKumar Vivek / Wikimedia Commons

3. One dark night, there was a hit-and-run in which a car struck a pedestrian in a narrow side road. A police officer at the scene of the crime said that the car was moving very quickly. Six bystanders saw the accident as it happened, but their reports were contradictory.

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Luckily, the driver was caught along with the vehicle, but it was revealed that only one of the six eyewitnesses gave a completely correct report. Everyone else provided one piece of information that was true, and another that was false. With that in mind, consider the following questions:

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Answer: the vehicle was a blue Ford with license plates that was driven very fast by a woman with the headlights turned off. Start with the information that the policeman provided—that the car was moving very fast. Since each witness (except for one) provided a false statement and a true one, we can use the process of elimination to determine the correct facts.

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4. A driver was changing a tire when all four of his lug nuts fell into a sewer grate. It was practically impossible to get them back, and the man feared he’d have to spend a great deal of time waiting at the side of the road. He had no reason to worry, though: a child riding a bike at that moment provided a solution, and the man was able to put in a new tire and safely drive the car to the nearest gas station. Can you guess what the kid told him?

10-puzzlesKurt Nordstrom / Wikimedia Commons

Answer: the boy on the bicycle told the motorist to borrow one lug nut from each of the other tires on the car, and use them to tighten the new tire on the vehicle as best as he could. That way, each tire had three lug nuts.

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5. A farmer has three big hutches in a row in his backyard where he keeps his rabbits. One hutch is painted red, another is yellow, and the third one is green. There were twice as many rabbits in the green hutch as there were in the yellow hutch, but that changed recently.

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Answer: The left-side hutch is yellow! Think about it this way: we knew from the start that there were twice as many rabbits in the green hutch as there were in the yellow one, right? That means there was an even number of rabbits in the green hutch.

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