Brain Teaser: A Curious Way to Tell Time

We love tackling brain teasers, riddles, math puzzles, and mind ticklers here at PuzzleNation Blog.

Our friends at Penny Dell Puzzles also enjoy putting their puzzly skills to work by posting various brain teasers..

And one of our mutual readers was hoping we could explain how to solve a puzzle that recently made the rounds on Penny’s social media accounts.

We’d be happy to!

Today, let’s take a look at a brain teaser all about time.

So, where do we begin?

Let’s start by breaking that sentence down to make it easier to parse: “The number of hours left today is half of the number of hours already passed.”

Well, a simpler way of saying that is “the number of hours already passed is twice the number of hours left.”

So if you have the number of hours left — let’s call that X — then the number of hours already passed is twice X, or 2X. Between X and 2X, that’s your entire day covered.

Sorting that out gives us the simple formula of X + 2X = 24, since there are 24 hours in a day.

That easily becomes 3X = 24, and simple division tells us that X = 8.

So X, the number of hours left today, is 8. Which means that twice X, or 16, is the number of hours already passed.

And if there are 8 hours left in the day (or 16 hours already passed), that means it’s 4 PM.


Most of the time, brain teasers are all about efficiently organizing the information we have.

That allows us to figure out how best to use that information to move forward and solve the puzzle. This is just as true with a relatively straightforward brain teaser like this as it is with a complicated logic puzzle with all sorts of pieces to put together.

It’s all about figuring out what we know, what we don’t, and how what we DO know can lead us to what we don’t.

That’s just part of the fun.


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PuzzleNation Product Review: Hacker

[Note: I received a free copy of this game in exchange for a fair, unbiased review. Due diligence, full disclosure, and all that. And this concludes the disclaimer.]

All of the puzzles and games produced by ThinkFun have one thing in common: learning through play. Whether you’re solving logic problems with lasers, creating unique patterns with color wheels, or deducing the culprit of a feline crime, you’re learning valuable skills through puzzling.

Several ThinkFun games are designed with computer coding in mind, as the gameplay mimics some of the rudimentary concepts of preparing and entering commands, then seeing how those commands can interact with an environment.

If you’re familiar with Robot Turtles, or any of their puzzle games from the //Code series, like On the Brink, you’ve already experienced this for yourself or seen someone else putting newfound puzzly skills to the test.

But Hacker offers a new twist on this concept.

[The various game pieces: agents, data files, exit points, commands to move the agent and rotate parts of the playing grid, and others, including the virus, alarm, and locks.]

As ThinkFun’s newest logic game, Hacker goes above and beyond those introductory coding games, challenging players to add their own coding to an established scenario in order to complete a specific task.

Then the players have to locate vulnerabilities and correct them before they can move on to the next challenge.

But by working your way through the various difficulty levels — Beginner, Intermediate, Advanced, and Expert — the game introduces new elements and challenges to the player gradually, allowing younger solvers to develop their skills and learn new tricks as they work out increasingly complex scenarios.

Let’s look at one Intermediate-level challenge to give you a better idea of how the game works.

The first part of each challenge is the coding. Each challenge card presents you with the initial layout of the grid, as well as which commands are hard-coded into the scenario (listed on the Platform line), and the openings for you to code movements for your agent (shaded in on the Red Agent line).

In this scenario, the agent must retrieve a single data file and deliver it to the exit point.

[The commands I “coded” in order to complete the scenario.]

You will use the arrow tiles to indicate where you want the agent to move. The rotation tiles are hard-programmed at certain times, so you can’t move them; you have to plot your path and code your agent to take advantage of those rotation commands.

[A full scenario ready to go. Clockwise from the upper left, we have the Challenge Booklet, the playing grid, the coding Control Panel, and the Solutions Booklet.]

As the scenarios grow more complex, those hard-coded rotation tiles will offer greater challenges, forcing you to become more creative and more tactical in your programming.

In addition to handling the rotation tiles, you must pick up the data file and reach the exit point while avoiding any contact with the virus.

[Here, the command as coded plays out. The agent moves left and acquires the data file, then moves down. The platform rotates twice, and then it’s a straight shot right to the exit point.]

And by using the special answer flipbook — which separates each challenge into three different pages for Code It, Hack It, and Fix It, so you can look at each individually without spoiling the rest of the solve — we can confirm our coding is correct.

The second part of the challenge is an element I haven’t seen in any previous ThinkFun release: hacking.

In this stage, you’re trying to debug your coding by seeking out vulnerabilities in the code that would allow the agent to encounter a virus. You’re essentially troubleshooting yourself!

To do so, you have to play the role of a malicious hacker hell-bent on corrupting your coding and delivering the agent directly into the hands of the virus.

This part of the game is more like a traditional sliding-tile puzzle, as you try to manipulate the tiles already in place to engineer a different outcome. In this case, I’ve moved the platform command forward and the down movement command over, altering the agent’s path.

As you can see here, by “hacking” our code, we picked up the data file and delivered it right to the virus, corrupting the entire program. Although our original program avoided the virus entirely, it isn’t safeguarded against hacking. Yet.

That brings us to the third part of the challenge, fixing, which allows you to correct the flaws you identified in the second part.

You can do so by placing an alarm on an open tile, which prevents the agent from encountering the virus; but you must do so without interfering with the successful completion of the original coding’s goal. In more difficult scenarios, you can also fix your coding by using a link token to link certain commands together, so a hacker has to move them as a whole, rather than as individual commands.

So in order to have a successful fix, you should be able to play through the original coding and succeed, but the hacked coding should be thwarted by the changes you’ve made.

[Below the blue agent and the blue exit point, you have the primary tools used in the Fixing phase of gameplay: the transaction link and the alarm.]

It’s an effective metaphor for the amount of review and beta-testing that goes into actual coding, since tiny mistakes can have dire consequences. By requiring younger players to review the same data in three different ways, you’re subconsciously encouraging diligence and care in one’s programming.

It’s a simple lesson, but an important one, and the gameplay promotes it without feeling preachy or heavy-handed. Instead, you’re almost partners-in-crime with the game as you develop new tricks to outwit each scenario.

Hacker is one of ThinkFun’s most complex and immerse logic games yet, one that never forgets to be great fun and an engaging, multilayered puzzly challenge, even as it educates. Other ThinkFun games might look flashier at first glance, but I think they’ve truly outdone themselves this time around.

Hacker is available from ThinkFun and participating retailers, starting at $24.99.


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The Diabolical Art of Bar Bets

We discuss all sorts of time-honored puzzles and brain teasers here on the blog, but it’s not often that those discussions wander into the arena known as bar bets.

Simply put, bar bets are contests between two parties wherein money or free drinks are wagered on one’s ability to accomplish a given task. Sometimes, that task is answering a bit of trivia, or engaging in a feat of strength.

But more often than not, bar bets are brain teasers designed to separate a fool from his money.

And if you approach them like brain teasers, you have a better chance of holding onto your hard-earned dough.

You see, many of these bar bets are designed more like carnival games than fair wagers; there’s usually a trick involved, and your opponent is wagering on you playing by the rules, rather than out-thinking the game itself.

Example: the wager seems simple. There is a drink placed completely beneath a hat. You must drink the drink without touching the hat.

It seems impossible, but that’s where you must get creative. You can crouch down near the hat and make a slurping noise, and then declare that you’ve succeeded in drinking the drink. Your curious opponent is forced to lift the hat to check, and at that moment, grab the drink, down it, and you’ve won.

You adhered to the letter of the wager, but not the spirit. But that’s the name of the game.

Be careful, because some bar bets are based solely on wordplay.

Example: Tell your opponent to get a coin out of their pocket and set it under a drink coaster, ensuring that you don’t see it. The wager? That you’ll be able to tell them the date.

As you wave your hand over the coaster, as if doing a magic trick, simply announce today’s date. After all, you weren’t specific. You just said you’d tell them the date, not necessarily the date on the coin.

A similar one involves wagering that you can stay underwater for any particular length of time. Once you make the wager, simply hold a glass of water over your head for that amount of time.

A little cheap? Sure. But hey, a bar bet is a bet. And the devil is in the details.

Some bar bets, though, come down to technique. You present a seemingly impossible task, and then accomplish it in a clever way.

For example, my favorite bar bet: You have a glass (a wine glass, a shot glass, whatever), with a coaster (or business card) on top of it. Atop the coaster is a cigarette, standing on end. And atop the cigarette is a coin.

The wager? Put the coin into the glass without touching the glass, coaster, cigarette, or coin.

There’s no wordplay, no trickery, and no deceit here. This one is all about gravity.

You see, the coaster and the cigarette are light, while the coin is not. If you crouch down below the glass and blow upward, you’ll be able to push aside the coaster and cigarette, leaving the coin to fall straight down into the now-open glass.

Easy. Once you know how it’s done, that is.


What’s your favorite puzzly wager, fellow puzzlers and PuzzleNationers? Do you have a favorite bar bet, trick, or crafty challenge up your sleeve that leaves others befuddled?

Let us know in the comments below! We’d love to hear from you.


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The October PN/Escape 101 Promotion Starts Today!

A few weeks ago, we featured local escape room company Escape 101 in our latest edition of Citizen Shoutout!

And the crew at Escape 101 offered an awesome deal to all PuzzleNation users!

For the entire month of October, if you make a reservation for a room at Escape 101 and you have one of the PuzzleNation puzzle apps on your phone, you can show it to them at the door and they’ll give you a 10% discount on the entire booking!

That’s right, whether it’s Daily POP Crosswords, Penny Dell Crosswords, Penny Dell Sudoku, or Penny Dell Crosswords Jumbo 1, 2, or 3, being a PuzzleNation solver will give you a discount on a terrific solving experience.

You can call or email Escape 101 to reserve a room, or book a room through their website. (It’s always best to do so at least a few days out from your desired date and time, just to give them the best chance to meet your expectations.)

You can check out more of the Escape 101 experience in our Citizen Shoutout post or on the Escape 101 website.

They’ve got something for all skill levels. If you’ve never done an escape room before, the Ice Cream Truck room is the perfect introduction. And if you’re looking for a serious challenge, the Doomsday room will test your puzzly mettle.

With those and two other rooms to choose from, you’re guaranteed to find the right fit for you and your fellow solvers!

Enjoy! And let us know when you do! We’d love to hear from you!

Heck, we might even see you there!


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This Puzzle Solves Itself!

The slow, steady march of technological advancement in all fields continues to progress, and the world of puzzles is no exception. In previous blog posts, we’ve discussed not only technological leaps forward in making puzzles (like 3-D printers), but also new developments in solving puzzles.

We’ve joked that robots are coming for our puzzles, thanks to advanced machines and AI programs that can play games like chess, Go, and Scrabble on par with — and sometimes, far better than — human experts.

It’s the same with Rubik’s Cubes and other twisty puzzles. Even though speed solvers continue to break new ground in terms of sheer speed and efficiency, we can’t compete with robots that solve cubes in the blink of an eye.

And now, it seems we’ve reached the natural end of this journey…

A self-solving Rubik’s Cube.

Check it out:

The creation of a Japanese technician and self-styled “hardware hacker,” this Rubik’s Cube is the same size as the traditional cube, but the similarities end there.

Instead of the traditional plastic network of connections that allows you to twist and turn the cube every which way, this cube is packed to the gills with electronics, wiring, a series of motors, and the interconnected pieces that give the Rubik’s Cube its signature movement and flexibility.

A marvel of miniaturization and design, this self-solving Rubik’s Cube clearly has its own built-in solving algorithm. It doesn’t simply memorize the twists employed to scramble the cube and then reverse them; the solution and scrambling are completely different chains of events.

All in all, it’s a thoroughly impressive creation. Of course, if I’d known there were going to be self-solving Rubik’s Cubes, I wouldn’t have wasted so much time trying to solve one myself!


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A Dollar For Your Thoughts? It’s the Hundred Dollar Puzzle!

[Image courtesy of ColourBox.com.]

That’s right, fellow puzzlers and PuzzleNationers! It’s that time again when we pit our puzzly minds against a fiendish brain teaser and test our mental mettle!

You might’ve seen this brain teaser making the rounds on social media. It’s known as the hundred dollar puzzle, and unlike most brain teasers, this one is less about the puzzle and more about how we got to the solution.

Intrigued? You’re not the only one. Let’s take a look at the brain teaser:

A young man sees a shirt for $97. He borrows $50 from mom and $50 from dad. He buys the shirt and is left with $3 change.

He gives $1 to mom, $1 to dad, and keeps $1 for himself. Now he owes his mom $49 and his dad $49.

$49 + $49 = $98 + his remaining $1 = $99. Where did the other $1 go?

[Image courtesy of CollecTons.]

People love brain teasers like this, because at first glance, and even at second glance, the math SEEMS to hold up.

But the real trick to this one is that it’s asking the wrong question. The other dollar didn’t go anywhere.

The problem here is… as soon as he pays his parents back, it’s no longer about one hundred dollars. It’s about ninety-eight dollars.

Let’s look at total borrowings versus borrowings after paying back his parents. The original specs were:

What he owed: $100
What he had: $3 and a $97 dollar shirt.

But the goalposts changed when he paid his parents back a dollar each. (And if he plans to pay the loan off a dollar at a time, it’s going to take FOREVER for them to get their money back.)

What he now owes: $98
What he has: $1 and a $97 dollar shirt.

The math adds up. Your total borrowings go from $100 to $98 dollars, and you spent $97 dollars and put the extra dollar in your pocket.

So the final equation in the brain teaser is flawed. It’s not $49 + $49 = $98 + his remaining $1 = $99. It’s $49 + $49 = $98 = his remaining $1 and his fancy shirt $97.

[Image courtesy of Ali Express.com.]

Sometimes, brain teasers aren’t about crunching numbers, but finding the logical flaw in the puzzle itself.

We hope you enjoyed unraveling the hundred dollar puzzle, and if you have any brain teasers, riddles, or other puzzly suggestions for mental challenges to conquer, let us know in the comment section below! We’d love to hear from you!


Thanks for visiting PuzzleNation Blog today! Be sure to sign up for our newsletter to stay up-to-date on everything PuzzleNation!

You can also share your pictures with us on Instagram, friend us on Facebook, check us out on TwitterPinterest, and Tumblr, and explore the always-expanding library of PuzzleNation apps and games on our website!