Tag Archives: Penny Press

A ten-digit brain teaser to melt your mind!

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I’ve started to develop a reputation as something of a brain-teaser pro, given some of the beastly brain teasers we’ve featured on the blog over the last few months.

And, as such, I’ve started to receive brain teasers from friends and fellow puzzlers, challenging me to unravel them AND explain my methods to the PuzzleNation audience.

I’ve never been one to shirk a challenge, so here we go! This puzzle is entitled Mystery Number, and a little googling after solving it reveals it most likely came from this Business Insider link. (Although their solution is slightly flawed.)

Enjoy!

There is a ten-digit mystery number (not starting with zero) represented by ABCDEFGHIJ, where each numeral, 0 through 9, is used once. Given the following clues, what is the number?

1. A + B + C + D + E = a multiple of 6.
2. F + G + H + I + J = a multiple of 5.
3. A + C + E + G + I = a multiple of 9.
4. B + D + F + H + J = a multiple of 2.
5. AB = a multiple of 3.
6. CD = a multiple of 4.
7. EF = a multiple of 7.
8. GH = a multiple of 8.
9. IJ = a multiple of 10.
10. FE, HC, and JA are all prime numbers.

(And to clarify here for clues 5 through 9, AB is a two-digit number reading out, NOT A times B.)

[Image courtesy of Wikipedia.]

Now, anyone who has solved Kakuro or Cross Sums puzzles will have a leg up on other solvers, because they’re accustomed to dealing with multiple digits adding up to certain sums without repeating numbers. If they see three boxes (which would essentially be A + B + C) and a total of 24, they know that A, B, and C will be 7, 8, and 9 in some order.

[For those unfamiliar with Cross Sums or Kakuro solving, feel free to refer to this solving aid from our friends at Penny/Dell Puzzles, which includes a terrific listing of possible number-combinations that will definitely prove useful with this brain teaser.]

And since the digits 0 through 9 add up to 45, that provides a valuable starting hint for clues 1 and 2 (in which all 10 digits appear exactly once). A multiple of 6 (6, 12, 18, 24, 30, 36, 42) plus a multiple of 5 (5, 10, 15, 20, 25, 30, 35, 40, 45) will equal 45. And there’s only one combination that works.

So A + B + C + D + E must equal 30, and F + G + H + I + J must equal 15.

The same logic applies to clues 3 and 4 (in which all 10 digits appear exactly once). A multiple of 9 (9, 18, 27, 36, 45) plus a multiple of 2 (2, 4, 6, 8, 10, etc.) will equal 45. And there’s only one combination that works.

So A + C + E + G + I must equal 27, and B + D + F + H + J must equal 18.

And now, we jump to clue 9. Since IJ is a multiple of 10, and all multiples of 10 end in 0, we know J = 0.

This tells us something about JA in clue 10. J is 0, which means A can only be 2, 3, 5, or 7.

There may a quicker, more deductive manner of solving this puzzle, but I couldn’t come up with it. I went for a brute force, attrition-style solve.

So I wrote out all of the possibilities for clues 5 through 9, and began crossing them off according to what I already knew. Here’s what we start with:

AB = 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, 51, 54, 57, 60, 63, 66, 69, 72, 75, 78, 81, 84, 87, 90, 93, 96, 99
CD = 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88, 92, 96
EF = 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98
GH = 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96
IJ = 10, 20, 30, 40, 50, 60, 70, 80, 90

Now, we can remove any double numbers like 33 because we know each letter represents a different number.

AB = 12, 15, 18, 21, 24, 27, 30, 36, 39, 42, 45, 48, 51, 54, 57, 60, 63, 69, 72, 75, 78, 81, 84, 87, 90, 93, 96
CD = 12, 16, 20, 24, 28, 32, 36, 40, 48, 52, 56, 60, 64, 68, 72, 76, 80, 84, 92, 96
EF = 14, 21, 28, 35, 42, 49, 56, 63, 70, 84, 91, 98
GH = 16, 24, 32, 40, 48, 56, 64, 72, 80, 96
IJ = 10, 20, 30, 40, 50, 60, 70, 80, 90

[Sorry guys, you’re out.]

And we know that J = 0, so we can remove any numbers that end in zero for AB, CD, EF, and GH.

AB = 12, 15, 18, 21, 24, 27, 36, 39, 42, 45, 48, 51, 54, 57, 63, 69, 72, 75, 78, 81, 84, 87, 93, 96
CD = 12, 16, 24, 28, 32, 36, 48, 52, 56, 64, 68, 72, 76, 84, 92, 96
EF = 14, 21, 28, 35, 42, 49, 56, 63, 84, 91, 98
GH = 16, 24, 32, 48, 56, 64, 72, 96
IJ = 10, 20, 30, 40, 50, 60, 70, 80, 90

And for AB, we know that A can only be 2, 3, 5, or 7, so we can delete any numbers that don’t start with one of those four digits.

AB = 21, 24, 27, 36, 39, 51, 54, 57, 72, 75, 78
CD = 12, 16, 24, 28, 32, 36, 48, 52, 56, 64, 68, 72, 76, 84, 92, 96
EF = 14, 21, 28, 35, 42, 49, 56, 63, 84, 91, 98
GH = 16, 24, 32, 48, 56, 64, 72, 96
IJ = 10, 20, 30, 40, 50, 60, 70, 80, 90

Hmmm, that’s still a LOT of options. What else do we know?

Well, we know from clue 10 that FE and HC are prime numbers. So they can’t be even numbers OR end in a 5. So we can eliminate any options from CD and EF that begin with an even number or a 5.

AB = 21, 24, 27, 36, 39, 51, 54, 57, 72, 75, 78
CD = 12, 16, 32, 36, 72, 76, 92, 96
EF = 14, 35, 91, 98
GH = 16, 24, 32, 48, 56, 64, 72, 96
IJ = 10, 20, 30, 40, 50, 60, 70, 80, 90

Alright, now we need to look at those big addition formulas again. Specifically, we need to look at B + D + F + H + J = 18.

We know J = 0, so the formula becomes B + D + F + H = 18. Now, take a look at our lists of multiples for AB, CD, EF, and GH. Look at the second digit for each. There’s a little nugget of information hiding inside there.

Every D and H digit is an even number. Which means that B and F must either both also be even, or both be odd in order to make an even number and add up to 18.

But, wait, if they were both even, then they would use all of our even numbers, and some combination of B, D, F and H would be 2 + 4 + 6 + 8, which equals 20. That can’t be right!

So let’s delete any even numbered options from AB and EF.

AB = 21, 27, 39, 51, 57, 75
CD = 12, 16, 32, 36, 72, 76, 92, 96
EF = 35, 91
GH = 16, 24, 32, 48, 56, 64, 72, 96
IJ = 10, 20, 30, 40, 50, 60, 70, 80, 90

Okay, we’ve whittled down EF to 2 possibilities: 35 and 91. [Here is where the Business Insider solution goes awry, because they never eliminate one of these two options.]

Clue 10 tells us that FE is a prime number, but that doesn’t help, because both 53 and 19 are prime. So now what?

Let’s return to those starting formulas.

We know that A + B + C + D + E = 30, and our handy-dandy number-combination listing tells us there are six possible ways that five digits can add up to 30: 1-5-7-8-9; 2-4-7-8-9; 2-5-6-8-9; 3-4-6-8-9; 3-5-6-7-9; and 4-5-6-7-8.

Look at the possibilities for A, B, C, D, and E according to our work thus far:

AB = 21, 27, 39, 51, 57, 75
CD = 12, 16, 32, 36, 72, 76, 92, 96
EF = 35, 91

There’s not a single 8 in any of those pairings! And five of our six possible answers for A + B + C + D + E = 30 include an 8 as one of the five digits.

Therefore, 3-5-6-7-9 and A-B-C-D-E match up in some order.

EF is either 35 or 91, but with both 3 and 5 counted among the letters in A-B-C-D-E, EF cannot be 35, so EF is 91. Let’s eliminate any option for AB, CD, GH, or IJ that include 9 or 1.

AB = 27, 57, 75
CD = 32, 36, 72, 76
EF = 91
GH = 24, 32, 48, 56, 64, 72
IJ = 20, 30, 40, 50, 60, 70, 80

Because E = 9, that leaves 3, 5, 6, and 7 as the only possible digits available for A, B, C, and D. So let’s eliminate any combinations that use numbers other than those four.

AB = 57, 75
CD = 36, 76
EF = 91
GH = 24, 32, 48, 56, 64, 72
IJ = 20, 30, 40, 50, 60, 70, 80

We can also eliminate any combinations for GH and IJ that include those four numbers.

AB = 57, 75
CD = 36, 76
EF = 91
GH = 24, 48
IJ = 20, 40, 80

Since our only possibilities for AB use 5 and 7 in some order, CD cannot be 76, so it must be 36.

AB = 57, 75
CD = 36
EF = 91
GH = 24, 48
IJ = 20, 40, 80

So, here are our options at this point:

AB = 57, 75
CD = 36
EF = 91
GH = 24, 48
IJ = 20, 40, 80

All possible solutions for GH include the number 4, so we can delete 40 as a possibility for IJ.

AB = 57, 75
CD = 36
EF = 91
GH = 24, 48
IJ = 20, 80

Let’s look at those formulas one more time. We know A + C + E + G + I = 27.

We also know C = 3 and E = 9, so A + G + I = 15. And the only combination of available digits that allows for that is 5, 2, and 8, meaning AB = 57, GH = 24, and IJ = 80.

So ABCDEFGHIJ = 5736912480.

I don’t think I’ve tackled a puzzle this tough since the seesaw 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!

It’s Follow-Up Friday: The Puzzle’s The Thing! edition

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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 results of our #PennyDellShakespearePuzzles hashtag game!

You may be familiar with the board game Schmovie, hashtag games on Twitter, or @midnight’s Hashtag Wars segment on Comedy Central.

For the last few months, we’re been collaborating on puzzle-themed hashtag games with our pals at Penny/Dell Puzzles, and this month’s hook was Penny/Dell Shakespeare Puzzles!

Examples for plays might be “Hamlet-terboxes” and examples for quotes might be “The Stars and Arrows of outrageous fortune.” Anything Shakespearean is up for grabs here!

So, without further ado, check out what the puzzlers at PuzzleNation and Penny/Dell Puzzles came up with!

Puzzly Plays

The Merry Wives of Wizard Words

The Two at a Time Noble Kinsmen / Two by Two Noble Kinsmen

Cymbeline ’Em Up

Timed Framework of Athens

As You Like It Figures

Romeo and Julietterboxes

The Taming of the Shrudoku

Love’s Labour’s Missing List

The Tempest of Sudoku

Romeo and Juliet’s Double Trouble Love Affair

Quotes that Fall into a Winter’s Tale

Puzzly Quotes

“Suit the action to the crossword, the crossword to the action.” (Hamlet, Act 3, Scene 2)

From sonnet 130: “My mistress’ eyes are nothing like the Sunrays.”

“The very substance of the ambitious is merely THE SHADOW of a dream.” (Hamlet)

“Off with their Heads and Tails!” (Richard III)

“To Beat, or not to Beat, the Clock: that is the question.” (Hamlet)

“All Four One, he kissed me. I loved my Blips the better A Perfect Ten days after.”

“But, soft! What light through yonder Window Boxes? It is the east and Juliet is the Sunrays.”

“Frailty, thy name is Word Games.”

“Crosswords do shake the darling buds of May.”

“Alas poor Brick by Brick, I knew him Horatio.”

“Word Play’s the thing to catch the conscience of the king.”

Exit What’s Left, pursued by a bear.

“What a piece of Framework is a man.”

“Bull’s-Eye Spiral of newt.”

“To be or not to be, that is the Big Question.”

“Crosswords pay no debts.”

“A pair of star-Crossword lovers take their life.” (Romeo & Juliet)

From Sonnet 18: “Shall I compare thee to a Right of Way?”

“Double, Double, Toil & Double Trouble.” (Macbeth)

“Where Plus Fours art thou, Romeo?” (Romeo & Juliet)

“To be or not to be…that is the Quotefall.”

Someone even offered up a puzzly version of one of Shakespeare’s most popular characters, Quotefallstaff.

Plus our fellow puzzlers on Twitter offered up some terrific entries themselves! @CheriPalmisano submitted a quote — “My cherry lips have often kissed your bricks…(by brick) which are stuck together with cement” — and hashtag warriors @HereLetty and @aLICIaR802 joined in the fun with “In my mind’s Bull’s Eye Spiral” and “The Comedy of Errors: Me when I do a logic problem” respectively!

Have you come up with any Penny/Dell Shakespeare Puzzles of your own? Let us know! We’d love to see them!

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 brand-new puzzle set for the Penny Dell Crosswords app!

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It has been a busy summer here at PuzzleNation, especially with regards to the Penny Dell Crosswords App.

We launched several new puzzle sets for the app, including our June and July Deluxe puzzle sets, as well as Collection Eight, our 150-puzzle pack we mentioned a few weeks ago.

We also debuted our free daily puzzle feature for all app users!

And in case you’re not following us on Twitter or Facebook, we’re also doing a Crossword Clue Challenge every weekday at 3 PM, testing your familiarity with classic crossword clues as well as trickier fare!

But that’s not all! We’re excited to announce our newest downloadable content for the Penny Dell Crosswords app, the Back to School Deluxe set, is now available through the App Store!

That’s right, it’s almost Back to School time, and our August Deluxe set offers 35 terrific themed puzzles. Not only do you get 30 easy, medium, and hard puzzles, but there are 5 bonus puzzles you can unlock as you solve!

We are committed to providing you with the best puzzle games on the market today, and with this deluxe set of puzzles, we’ve continued that proud tradition. Terrific crosswords right in your pocket! What more could you ask for?

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!

Can you solve BuzzFeed’s 14 Trickiest Crossword Clues?

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Last week, a fellow puzzler passed along this link, which had an intriguing premise. The folks at BuzzFeed asked prominent crossword constructors to contribute their favorite tricky or misleading crossword clues, challenging the audience to puzzle out as many of them as possible.

The constructors involved are a who’s who of top puzzlers, including Ben Tausig, Peter Gordon, Elizabeth C. Gorski, Brendan Emmett Quigley, Matt Gaffney, and several of the puzzlers involved in the Indie 500 tournament: Erik Agard, Neville Fogarty, Andy Kravis, and Evan Birnholz.

There are 14 tricky clues, each with either some crafty wordplay or some delightfully wicked humor attached.

Now, fair warning, some of these are a bit risque (one drops the f-bomb), but they will all put your puzzly skills to the test.

[I wonder how Nancy Drew would do…]

My personal favorites were “Journey accompanier, often [9 letters]” and “Michigan county I promise never to use in a crossword again [6 letters],” both of which involve a level of honesty and pop culture awareness that transcends standard crossing cluing.

I managed to riddle out 10 of the 14 clues. Some of them were vague enough to allow for multiple answers — you don’t have a grid or crossing entries to help you limit options, after all — so I gave myself credit if the correct answer was one of several that came to mind.

How did you do on this crafty BuzzFeed challenge, PuzzleNationers? Let me know! I’d love to hear from you!

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: Crosswordnado edition!

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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 solutions to our Sharknado and Crosswordese puzzles from the last two weeks!

Two Follow-Up Fridays ago, I posted a deduction puzzle in honor of Sharknado 3 rampaging its way across TV screens all over the world, and I challenged you to complete the schedule of mayhem wrought by our five heroes with five different weapons across five different cities on five different days! (Whew!)

How did you do?

And that brings us to our second solution. Last week, we discussed crosswordese — those words that only seem to appear in crosswords, to the dismay and bafflement of casual solvers — and I created a 9×9 grid loaded with crosswordese.

Did you conquer the challenge?

ACROSS

1. Toward shelter, to salty types — ALEE
3. Arrow poison OR how a child might describe their belly button in writing — INEE
5. Flightless bird OR Zeus’s mother — RHEA
6. Hireling or slave — ESNE
8. “Kentucky Jones” actor OR response akin to “Duh” — DER
9. Compass dir. OR inhabitant’s suffix — ESE
12. Wide-shoe width OR sound of an excited squeal — EEE
15. No longer working, for short OR soak flax or hemp — RET
16. Like a feeble old woman OR anagram of a UFO pilot — ANILE
17. Actress Balin OR Pig ____ poke — INA

DOWN

1. Mean alternate spelling for an eagle’s nest — AYRIE
2. Old-timey exclamation — EGAD
3. Unnecessarily obscure French river or part of the Rhone-Alpes region — ISERE
4. Supplement OR misspelling of a popular cat from a FOX Saturday morning cartoon — EKE
7. Maui goose — NENE
10. An abbreviated adjective covering school K through 12 OR how you might greet a Chicago railway — ELHI
11. My least favorite example of crosswordese OR good and mad — IRED
12. Ornamental needlecase — ETUI
13. Movie feline OR “Frozen” character — ELSA
14. Shooting marble OR abbreviation for this missing phrase: “truth, justice, and ____” — TAW

I hope you enjoyed both of these challenging puzzles! If you haven’t had your fill of crafty puzzlers, worry not! We’ll be tackling another tough brain teaser in two weeks!

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!

Get thee to a punnery!

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Wordplay is an integral part of many puzzles, from anagrams and rhymes to letter-shifting and palindromes. But perhaps the most predominant form of wordplay is the pun. (Where would Wordplay Wednesday be without them?)

Sometimes puns are Cryptogram answers or Anagram Magic Squares solutions. Sometimes they’re fiendish crossword puzzle clues that send you one way when your answer lies elsewhere, or they’re the key to figuring out the theme entries in a Thursday New York Times puzzle.

Whether it’s a groaner or one that makes you laugh out loud, a pun can add humor and style to a puzzle.

Some of my fellow puzzlers have some classics to their credit, like Penny Press editor Keith Yarbrough’s “Public hanging” for ART, or crossword guru Eileen Saunders’ “Wombmates?” for TWINS.

But it’s not just in puzzles. Social media has given the art of punnery a new lease of life. Several YouTubers have made puns their stock in trade, like My Drunk Kitchen’s Hannah Hart and You Deserve a Drink’s Mamrie Hart. (No relation.)

Check out this video by musician and pun enthusiast Andrew Huang:

Twitter is also home to some monstrously talented punsmiths. Here are two recent favorites I stumbled across:

And did you know there are even contests and prizes for great puns?

Every May, the O. Henry Pun-Off attracts wordplay aficionados from all over to ply their trade in front of a live audience!

For a primo example, here’s a video of champion Jerzy Gwiazdowski busting out a flurry of geography puns:

What are some of your favorite puns, fellow puzzlers? Are they from puzzles, jokes, Internet memes? Leave them in the comments!

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!