Brain Teaser Week: Answers Edition!

Did you enjoy Brain Teaser Week, fellow puzzlers and PuzzleNationers? We certainly hope so! It was a fun experiment in dedicating an entire week to a particular type of puzzle.

We gave you three puzzles to challenge your deductive, mathematical, and puzzly skills, and now it’s time to break them down and explain them.


Tuesday’s Puzzle:

A set of football games is to be organized in a “round-robin” fashion, i.e., every participating team plays a match against every other team once and only once.

If 105 matches in total are played, how many teams participated?

If every team plays every other team once, you can easily begin charting the matches and keeping count. With 2 teams (Team A and Team B), there’s 1 match: AB. With 3 teams (A, B, and C), there are 3 matches: AB, AC, BC. With 4 teams (A, B, C, and D), there are 6 matches: AB, AC, AD, BC, BD, CD. With 5 teams (A, B, C, D, and E), there are 10 matches: AB, AC, AD, AE, BC, BD, BE, CD, CE, DE.

Now, we could continue onward, writing out all the matches until we reach 105, but if you notice, a pattern is forming. With every team added, the number of potential matches increases by one.

With one team, 0 matches. With two teams, 1 match. With three teams, 2 more matches (making 3). With four teams, 3 more matches (making 6). With five teams, 4 more matches (making 10).

So, following that pattern, 6 teams gives us 15, 7 teams gives us 21, and so on. A little simple addition tells us that 15 teams equals 105 matches.


Thursday’s Puzzle:

You want to send a valuable object to a friend securely. You have a box which can be fitted with multiple locks, and you have several locks and their corresponding keys. However, your friend does not have any keys to your locks, and if you send a key in an unlocked box, the key could be copied en route.

How can you and your friend send the object securely?

(Here’s the simplest answer we could come up with. You may very well have come up with alternatives.)

The trick is to remember that you’re not the only one who can put locks on this box.

Put the valuable object into the box, secure it with one of your locks, and send the box to your friend.

Next, have your friend attach one of his own locks and return it. When you receive it again, remove your lock and send it back. Now your friend can unlock his own lock and retrieve the object.

Voila!


Friday’s Puzzle:

The owner of a winery recently passed away. In his will, he left 21 barrels to his three sons. Seven of them are filled with wine, seven are half full, and seven are empty.

However, the wine and barrels must be split so that each son has the same number of full barrels, the same number of half-full barrels, and the same number of empty barrels.

Note that there are no measuring devices handy. How can the barrels and wine be evenly divided?

For starters, you know your end goal here: You need each set of barrels to be evenly divisible by 3 for everything to work out. And you have 21 barrels, which is divisible by 3. So you just need to move the wine around so make a pattern where each grouping (full, half-full, and empty) is also divisible by 3.

Here’s what you start with:

  • 7 full barrels
  • 7 half-full barrels
  • 7 empty barrels

Pour one of the half-full barrels into another half-full barrel. That gives you:

  • 8 full barrels
  • 5 half-full barrels
  • 8 empty barrels

If you notice, the full and empty barrels increase by one as the half-full barrels decrease by two. (Naturally, the total number of barrels doesn’t change.)

So let’s do it again. Pour one of the half-full barrels into another half-full barrel. That gives you:

  • 9 full barrels
  • 3 half-full barrels
  • 9 empty barrels

And each of those numbers is divisible by 3! Now, each son gets three full barrels, one half-full barrel, and three empty barrels.


How did you do, fellow puzzlers? Did you enjoy Brain Teaser Week? If you did, let us know and we’ll try again with another puzzle genre!

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The Conclusion of Brain Teaser Week!

It’s the third and final day of our celebration of all things brain-teasing, riddling, and word-tricky, and we’ve got one last devious challenge lined up for you.

Remember! On Tuesday, Thursday, and Friday of this week, a different brain teaser or word problem will be posted, and it’s up to you to unravel them. Contact us with the correct answer — either here on the blog through the comments, or on Twitter, Facebook, or Instagram through our messages — and you’ll be entered into a pool to win a prize!

And yes, you can enter more than once! Heck, if you solve Tuesday, Thursday, AND Friday’s puzzles, that’s three chances to win!

Let’s get started, shall we?


Here’s today’s brain teaser, which mixes the math of Tuesday’s puzzle with the deductive reasoning of Thursday’s puzzle:

The owner of a winery recently passed away. In his will, he left 21 barrels to his three sons. Seven of them are filled with wine, seven are half full, and seven are empty.

However, the wine and barrels must be split so that each son has the same number of full barrels, the same number of half-full barrels, and the same number of empty barrels.

Note that there are no measuring devices handy. How can the barrels and wine be evenly divided?


Good luck, fellow puzzlers! We’ll see you Tuesday with answers for all three brain teasers!

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!

Brain Teaser Week Continues!

It’s Day 2 of our celebration of all things mind-tickling, and we’ve got another diabolical challenge lined up for you.

Remember! On Tuesday, Thursday, and Friday of this week, a different brain teaser or word problem will be posted, and it’s up to you to unravel them. Contact us with the correct answer — either here on the blog through the comments, or on Twitter, Facebook, or Instagram through our messages — and you’ll be entered into a pool to win a prize!

And yes, you can enter more than once! Heck, if you solve Tuesday, Thursday, AND Friday’s puzzles, that’s three chances to win!

Let’s get started, shall we?


Here’s today’s brain teaser, which is less mathematical than Tuesday’s and more logical or deductive:

You want to send a valuable object to a friend securely. You have a box which can be fitted with multiple locks, and you have several locks and their corresponding keys. However, your friend does not have any keys to your locks, and if you send a key in an unlocked box, the key could be copied en route.

How can you and your friend send the object securely?


Good luck, fellow puzzlers! We’ll see you Friday with our next brain teaser!

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!

Welcome to Brain Teaser Week!

[Image courtesy of Bogoreducare.org.]

Hello puzzlers and PuzzleNationers!

This week I thought I would try something different and focus on a theme for the week’s posts, rather than posting about different topics on our usual days.

So, please join me in some puzzly challenges as we celebrate Brain Teasers Week here at PuzzleNation Blog.

On Tuesday, Thursday, and Friday of this week, a different brain teaser or word problem will be posted, and it’s up to you to unravel them. Contact us with the correct answer — either here on the blog through the comments, or on Twitter, Facebook, or Instagram through our messages, and you’ll be entered into a pool to win a prize!

And yes, you can enter more than once! Heck, if you solve Tuesday, Thursday, AND Friday’s puzzles, that’s three chances to win!

Let’s get started, shall we?


Here’s today’s brain teaser:

A set of football games is to be organized in a “round-robin” fashion, i.e., every participating team plays a match against every other team once and only once.

If 105 matches in total are played, how many teams participated?


Good luck, fellow puzzlers! We’ll see you Thursday with our next brain teaser!

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!

The Maze of Games Returns to Kickstarter With Some Epic New Twists!

Less than a month ago, we wrote a blog post about The Maze of Games, an interactive puzzle novel first published in 2014, designed by Mike Selinker of Lone Shark Games.

After four years, an intrepid team of puzzlers had finally conquered all five labyrinths in the story and freed the Quaice siblings from the clutches of the diabolical Gatekeeper and his many puzzly challenges.

Naturally, some assumed that the adventure was over.

But not yet, my friends.

Today, Mike and the team at Lone Shark Games are launching a Kickstarter campaign to expand the universe of The Maze of Games like never before!

And in honor of Pi Day, they’re launching it at 3/14, 1:59 PM Eastern!

For the first time, in one collection, you can collect the entire world of The Maze of Games, plus some brand-new features!

In addition to The Maze of Games book (hardcover, PDF, and audiobook), The Theseus Guide to the Final Maze (softcover and PDF), a new updated version of The Maze Map poster, The Maze of Games Soundtrack, AND the EP Songs in the Key of Maze, you can add:

  • a new audiobook version of The Theseus Guide to the Final Maze
  • a new audio puzzle suite, The Gatekeeper’s Variety Hour
  • a new answer guide, The Keymaster’s Tome, written by The Maze of Games characters Samuel and Colleen Quaice (PDF or softcover)

It’s the most complete version of The Maze of Games ever offered: The Maze of Games Omnibus.

And yet, there’s still more.

You can now experience The Maze of Games in an immersive new way: in one of the Gatekeeper’s escape rooms in Seattle!

Yes, as we first reported back in September 2017, A Curiouser Heart, the first of four escape rooms designed in the world of The Maze of Games, is now open and awaiting the bravest and puzzliest minds, thanks to Epic Team Adventures!

And one of the perks of The Maze of Games Omnibus Kickstarter campaign is a discounted booking for this escape room experience! How cool is that?

But if you can’t get to Seattle, guess what? You’re not excluded from a proper puzzling experience. There’s a Maze of Games challenge awaiting you on the Internet as well.

As part of this Kickstarter campaign, author Mike Selinker and developer Gaby Weidling ventured into The Maze of Games themselves, and now they’re trapped. And only you can save them.

During the campaign, there will be daily puzzles — available through the Kickstarter campaign page, the Lone Shark Games Twitter account and at several puzzly events happening nationwide (including the American Crossword Puzzle Tournament) — and if you solve them all, you can help free Mike and Gaby from The Maze of Games!

That’s right, you can be a puzzly hero from the comfort of your own home!

Check out the Kickstarter campaign page for full details on The Maze of Games Omnibus, the Escape Room for “A Curiouser Heart”, and the ongoing puzzle hunt to save Mike and Gaby!

No matter how you participate, you’re bound to have a marvelous puzzly experience!


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Puzzles… in… Space!

When you’re a puzzle enthusiast, you never know where your interest might take you, or what interesting and unexpected people you’ll encounter along the way. All sorts of folks enjoy puzzles, after all.

If you enjoy puzzles with trivia, you could bump into Who Wants to Be a Millionaire? winners or Jeopardy! champions like Ken Jennings. The New York Times has introduced us to several famous crossword enthusiasts. The British government is publishing puzzle books. Heck, actors Joel McHale and Neil Patrick Harris both included puzzles in their autobiographies!

Even astronauts are getting into the puzzly spirit!

Astronaut Tim Peake spent half a year in one of the most fascinating places in the solar system: the International Space Station. He was the first British astronaut to serve under the banner of the European Space Agency, and the first British astronaut to perform a spacewalk.

Upon returning to Earth, he turned his attention to more literary efforts, penning three books about space. The third, published last year in partnership with the European Space Agency, takes readers behind the scenes of the ESA screening process for astronauts.

Yes, puzzles are part of the screening process for the ESA.

Would you like to try your hand at solving some of them?

How did you do? Let us know in the comments section below! We’d love to hear from you

And if you’d like, you can find more of these puzzles in Peake’s delightful book The Astronaut Selection Test Book: Do You Have What it Takes for Space?

Do you have what it takes? I suspect that you do, fellow puzzler.


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!