Tag Archives: Puzzle to solve

It’s Follow-Up Friday: Birthday Puzzle edition!

Posted on by
3

Welcome to Follow-Up Friday!

By this time, you know the drill. Follow-Up Friday is a chance for us to revisit the subjects of previous posts and bring the PuzzleNation audience up to speed on all things puzzly.

And today, I’d like to return to the subject of birthday brain teasers!

Working on the Cheryl’s Birthday brain teaser a few days ago reminded me of another birthday-fueled puzzle that’s been around forever.

How many people do you need to enter a room before the probability of any 2 or more people sharing a birthday (day and month only, not year) is greater than 50%?

Assume for the sake of the puzzle that birthdays in the population at large are equally spread over a 365 day year.

Now, given that there are 365 days in the year, you’d assume the number of people necessary to get that probability of a shared birthday above 50% would be more than half of 365, or 183 people.

But it turns out that, statistically speaking, you don’t need anywhere near that many people.

Let’s break it down. Person A has a birthday. Person B has a birthday. There’s only one possible pairing, A-B. Person C has a birthday, but creates three possible birthday pairings: A-B, A-C, and B-C.

Person D could have a different birthday, but the introduction of Person D begins escalating the number of POSSIBLE shared birthdays. With these four people, we have SIX possible pairings: A-B, A-C, A-D, B-C, B-D, and C-D.

Our fifth person, Person E, allows for TEN possible pairings: A-B, A-C, A-D, A-E, B-C, B-D, B-E, C-D, C-E, and D-E. The probability of a shared birthday is increasing much faster with each new person.

As it turns out, it only takes 23 people to give us a 51% probability of a shared birthday.

And that would certainly save on catering.

Thanks for visiting PuzzleNation Blog today! You can share your pictures with us on Instagram, friend us on Facebook, check us out on Twitter, Pinterest, and Tumblr, and be sure to check out the growing library of PuzzleNation apps and games!

Are you smarter than a Singaporean student?

Posted on by
3

We love brain teasers here at PuzzleNation Blog. Whether we’re dealing with curious parking spaces, men in hats, the crew of the Enterprise playing games, or the seesaw-based conundrum that so baffled Captain Holt on Brooklyn Nine-Nine, we thoroughly enjoy tackling these often diabolical and curious logic problems.

And one has been making the rounds on Facebook, Twitter, and other social media platforms recently. This one comes from a Singaporean classroom, and has made headlines all over the Internet.

Hmmm, doesn’t seem like a lot of information, does it?

So, we have ten possible dates.

Let’s put them in a chart to organize them as best as we can.

Now, let’s analyze each statement in order, since the progression is the key to solving this brain teaser.

Albert says: I don’t know when Cheryl’s birthday is, but I know that Bernard does not know too.

Since Albert is told the month, and there are multiple options for each month, there is no way he could know. At first. But he does know Bernard doesn’t know either. How?

Deduction. If Cheryl told Bernard 18 or 19 (the only days that appear once), Bernard WOULD know Cheryl’s birthday. So Albert can eliminate those two options.

And for Albert to KNOW that, Cheryl cannot have told him May or June, since those were the only months with days that appear once.

A lot of information in a single sentence. Let’s move on to the next sentence.

Bernard says: At first I don’t know when Cheryl’s birthday is, but I know now.

Bernard is on the same track as Albert. He’s eliminated May and June. And he says he knows Cheryl’s birthday. If you look at our chart now, there are three singlet dates (15 for August 15, 16 for July 16, and 17 for August 17). If he was told 14, he wouldn’t know if it were July or August, so we can eliminate those.

From ten possible days, we’re down to three. And Albert’s final sentence finishes the job.

Albert says: Then I also know when Cheryl’s birthday is.

Since Albert is only told the month, it has to be July, because there are two possible dates left in August.

Therefore, in impressively brisk fashion, both Albert and Bernard have deduced that Cheryl’s birthday is July 16. And so have we!

We’ve also deduced that Cheryl is sort of a pain in the ass. But I suspect that wasn’t much of a brain teaser.

Thanks for visiting PuzzleNation Blog today! You can share your pictures with us on Instagram, friend us on Facebook, check us out on Twitter, Pinterest, and Tumblr, and be sure to check out the growing library of PuzzleNation apps and games!

A Puzzle in Honor of Leonard Nimoy

Posted on by
4

Late last week, news went out that actor, sci-fi luminary, and respected advocate for science Leonard Nimoy had passed away. As a fan of much of his work — not just Star Trek, but Fringe, In Search Of…, and numerous other shows made better by his presence — I was sad to say goodbye to such a terrific and influential figure.

And so, I thought it was only appropriate to honor him in true PuzzleNation fashion: with a Star Trek-themed brain teaser.

This puzzle was created by a University of Kentucky mathematician and puzzler named Raphael Finkel, and came to my attention thanks to a post on IO9.com. It’s a logic puzzle that will really test your deduction skills, perfect to honor pop culture’s most famous Vulcan and their great tradition of logic and reason.

Six Fearsome Heroes

Grobly Grizik is planning to write a novel fashioned after Star Trek: The Next Generation. In this novel, six of the crew members compete both at Fizzbin and at Tri-Dimensional chess. Each crew member gets two independent rankings for proficiency at these games (one ranking for each game), with “1” ranked lowest and “6” highest.

Every crew member has a personal hero among the crew, and every crew member is afraid of some crew member. Everyone is the hero of somebody, and everyone is feared by somebody. Nobody either fears him/herself nor counts him/herself as a hero. Nobody fears his/her own hero.

From the given clues, discover every crew member’s ranking at Fizzbin and at Tri-D chess, as well as whom he/she fears and whom he/she counts as a hero:

  • Geordi ranks 2 at Tri-D Chess.
  • Picard ranks two positions behind Troi at Fizzbin.
  • Troi is feared by the person Geordi fears.
  • Worf’s hero ranks 3 times lower at Tri-D Chess than the crew member who is best at Fizzbin.
  • Picard’s hero fears Geordi.
  • Data’s hero is not Geordi.
  • Data is the hero of Riker’s hero.
  • The person who is worst at Fizzbin is better than Troi at Tri-D Chess.
  • The person ranked number 3 at Tri-D Chess is ranked 4 positions higher than Data at Fizzbin.
  • Riker is feared by the person Picard fears and is the hero of Worf’s hero.
  • Riker is ranked 2 lower at Tri-D Chess than the crew member ranked 2 at Fizzbin.

Let us know if you solve this diabolical puzzle. And please share your favorite Nimoy roles and memories. He was a remarkable talent and will be missed.

Thanks for visiting PuzzleNation Blog today! You can share your pictures with us on Instagram, friend us on Facebook, check us out on Twitter, Pinterest, and Tumblr, and be sure to check out the growing library of PuzzleNation apps and games!

It’s Follow-Up Friday: A-maze-ing edition!

Posted on by
1

Welcome to Follow-Up Friday!

By this time, you know the drill. Follow-Up Friday is a chance for us to revisit the subjects of previous posts and bring the PuzzleNation audience up to speed on all things puzzly.

And today, I’d like to return to the subject of building-sized puzzles!

In the past I’ve mentioned some truly monster-sized puzzles, from the apartment building crossword in Ukraine to multi-story games of Tetris played on the sides of office buildings.

Well, another world record has been set for super-sized puzzles, this time in Dubai!

The largest vertical maze in the world (certified by the folks at Guinness!) can be found on the side of a 55-story building aptly known as Maze Tower.

Although LED lights make the maze quite an eye-catching spectacle at night, the maze is also visible in the daytime, since it was physically built along the side of the building.

All it needs is a digital minotaur prowling the corridors to chase off prospective solvers.

Thanks for visiting PuzzleNation Blog today! You can share your pictures with us on Instagram, friend us on Facebook, check us out on Twitter, Pinterest, and Tumblr, and be sure to check out the growing library of PuzzleNation apps and games!

It’s Follow-Up Friday: Valentine Puzzles edition!

Posted on by
Reply

Welcome to Follow-Up Friday!

By this time, you know the drill. Follow-Up Friday is a chance for us to revisit the subjects of previous posts and bring the PuzzleNation audience up to speed on all things puzzly.

And with one day before the deluge of flowers, candy, teddy bears, and romance, I’d like to return to the subject of Valentine’s Day puzzles!

You might not have heard, but we’ve got two new puzzle sets for the Penny Dell Crosswords app! The newest is Penny Dell Crosswords Collection Four, but we also recently released our Valentine’s Day Deluxe Set!

 

Both are available for purchase within the app and waiting to keep you and your loved ones busy with Valentine’s Day puzzly goodness!

Our friends at Penny/Dell Puzzles are also getting into the spirit of the day! They’re offering a free downloadable Valentine’s puzzle packet, a Valentine’s Framework puzzle, AND some puzzly valentines for kids! (As well as 15% off all month long!)

Not only that, but friend of the blog George Barany pointed me to this puzzle created by fellow constructor Charles Deber for Valentine’s Day!

Check out that lovely and clever heart in the center! You can click here to download and solve the puzzle. (Don’t worry, the grid is bigger and easier to read in the link.)

Have a marvelous Valentine’s Day, friends and fellow PuzzleNationers!

Thanks for visiting PuzzleNation Blog today! You can share your pictures with us on Instagram, friend us on Facebook, check us out on Twitter, Pinterest, and Tumblr, and be sure to check out the growing library of PuzzleNation apps and games!

It’s Follow-Up Friday: Holiday Answers edition!

Posted on by
Reply

Welcome to Follow-Up Friday!

By this time, you know the drill. Follow-Up Friday is a chance for us to revisit the subjects of previous posts and bring the PuzzleNation audience up to speed on all things puzzly.

And today, I’m posting the answers from our updated Word Mastery for the Holidays post on Monday!

[Old-timey carolers, courtesy of CTyuletide.com.]

1.) Move hitherward the entire assembly of those who are loyal in their belief.

Oh Come All Ye Faithful

2.) Listen, the celestial messengers produce harmonious sounds.

Hark, the Herald Angels Sing

3.) Proceed forth declaring upon a specific geological alpine formation.

Go Tell It on the Mountain

4.) Nocturnal timespan of unbroken quietness.

Silent Night

5.) Embellish the interior passageways.

Deck the Halls

6.) An emotion excited by the acquisition or expectation of good given to the terrestrial sphere.

Joy to the World

7.) Twelve o’clock on a clement night witnessed its arrival.

It Came Upon a Midnight Clear

8.) The Christmas preceding all others.

The First Noel

9.) Small municipality in Judea southeast of Jerusalem.

Oh Little Town of Bethlehem

10.) In a distant location the existence of an improvised unit of newborn children’s slumber furnishings.

Away in a Manger

11.) Tintinnabulation of vacillating pendulums in inverted, metallic, resonant cups.

Jingle Bells

12.) The first person nominative plural of a triumvirate of far eastern heads of state.

We Three Kings (of Orient Are)

13.) Geographic state of fantasy during the season of Mother Nature’s dormancy.

Winter Wonderland

14.) In awe of the nocturnal timespan characterized by religiosity.

Oh Holy Night

15.) Natal celebration devoid of color, rather albino, as an hallucinatory phenomenon for me.

I’m Dreaming of a White Christmas

16.) Expectation of arrival to populated areas by mythical, masculine perennial gift-giver.

Here Comes Santa Claus

17.) Obese personification fabricated of compressed mounds of frozen minute crystals.

Frosty the Snowman

18.) Tranquility upon the terrestrial sphere.

Peace on Earth

19.) Omnipotent supreme being who elicits respite to ecstatic distinguished males.

God Rest Ye Merry Gentlemen

20.) Diminutive masculine master of skin-covered percussionistic cylinders.

Little Drummer Boy

21.) Jovial Yuletide desired for the second person singular or plural by us.

Have Yourself a Merry Little Christmas OR We Wish You a Merry Christmas

22.) Allow winter precipitation in the form of atmospheric water vapor in crystalline form to descend.

Let It Snow, Let It Snow, Let It Snow

23.) A first-person observer witnessed a female progenitor engaging in osculation with a hirsute nocturnal intruder.

I Saw Mommy Kissing Santa Claus

24.) Your continued presence remains the sole Yuletide request of the speaker in question.

All I Want For Christmas Is You OR You’re All I Want for Christmas

25.) Permanent domicile during multiple specific celebratory periods.

(There’s No Place Like) Home for the Holidays

26.) Diminutive person regarded as holy or virtuous known by the informal moniker shared by two former Russian tsars.

Little St. Nick

27.) More than a passing resemblance to an annual winter festival is emerging.

It’s Beginning to Look a Lot Like Christmas

28.) Are you registering the same auditory phenomenon I am currently experiencing?

Do You Hear What I Hear?

29.) Overhead at the summit of the suburban residence.

Up on the House Top

30.) Attractive or otherwise visually pleasing wood pulp product.

Pretty Paper

31.) Parasitic European shrub accompanied by a plant with prickly green leaves and baccate qualities.

Mistletoe and Holly OR The Holly and the Ivy

How did you do? Did you get them all, or did one or two stump you? Let me know!

Thanks for visiting PuzzleNation Blog today! You can share your pictures with us on Instagram, friend us on Facebook, check us out on Twitter, Pinterest, and Tumblr, and be sure to check out the growing library of PuzzleNation apps and games!