HDTenEightyP/NetNews huggingface dataset:
From: naraht@drycas.club.cc.cmu.edu (Randolph J. Finder)
Newsgroups: rec.puzzles
Subject: penny hex symmetry
Date: 31 Aug 92 02:42:18 -0500
Organization: Carnegie Mellon Computer Club

Is it always possible to put n pennies on a hexagonal grid so that the
resulting shape has at least two lines of symmetry?

To exclude the line of pennies the condition is added that all pennies must
have at least two neighbors.

Examples: for 6 pennies, make a triangle, it has three lines of symmetry.

For 7 pennies. arrange 2-3-2, this has three lines of symmetry.

For 8 pennies, arrange 3-2-2, this has two lines of symmetry.



-- 
(naraht@drycas.club.cc.cmu.edu)	| Leadership,Friendship, and Service
(vri_rjfin@dmis.ha.osd.mil)	|          Alpha Phi Omega
(tnc!m0039@uunet.uu.net)	| National (Co-ed) Service Fraternity
"Service to others is the rent that we pay for living on the planet"(quote?)
Newsgroups: rec.puzzles
From: stein@hal.nta.no (Stein Kulseth FBA)
Subject: Swallows flying south - ANSWER
Organization: Norwegian Telecom Research
Date: Thu, 27 Aug 92 08:35:04 GMT

It's been a couple of weeks now, and no more action on this puzzle, it seems.
So for those of you who have tried it, I thought I'd just post the solution.

The puzzle:

>A swallow(A) is flying south. It then spots another swallow(B) flying behind
>it, but some distance to the right on a parallell course due south. Ie:
>
>                       (A)
>- - - - - - - - - - - - => - - - - - - - - - - - -
>
>
>- - - - - - - - - => - - - - - - - - - - - - - - -
>                 (B)
>
>Now A wants to intercept B in order to pick up the latest swallow gossip.
>What change in direction should A make?
>
>Estimates of unknown speeds and estimates takes time. The earth is *flat*
>and the swallows may or may not be laden with coconuts

It is really quite simple, once you get over the fact that you have almost
no information to work with. In fact, karr@cs.cornell.edu (David Karr),
all but solved the puzzle right after he concluded that it was
impossible!

So the answer is:
(^L)

The new course should be perpendicular to the line from A to B. This course
will bring A onto Bs course ahead of B, if at all possible.

Prove it for yourself.
- 
stein.kulseth@nta.no (Norwegian Telecom Research)
   'When murders are committed by mathematics, they can be solved by
   mathematics. Most of them aren't, and this one wasn't'
   - Nick Charles (Dashiell Hammett's "The Thin Man")
From: ralf@ark.abg.sub.org (Ralf Stephan)
Newsgroups: rec.puzzles
Subject: Re: Logic problem: playful kittens
Date: 02 Sep 92 09:37
Organization: Private Coherent 4.0.1 site Augsburg/Bavaria/Germany

bodom@silver.ucs.indiana.edu (Brian Odom):

> 1. The five kittens are Felix, Moppet, the cuddly one, the cautious one, and
> the one that hid a toy behind the drapes.
> 2. The frisky kitten is not the one that hid the toy ball under the armchair.
> One kitten hid the toy mouse behind the sofa.
> 3. Felix is not the shy kitten.
> 4. Neither Bumbles, who hid a toy under the table, nor Horace, who hid a toy
> in the closet, hid the toy bird.
> 5. Rags is the brave kitten.
> 6. The toy that the cuddly kitten hid in the closet was not the toy fish.

***SPOILERS***

7. Felix is frisky (From 1,3,5)
8. Felix hides the toy behind the sofa (From 1,2,4), it's the mouse (2).
9. Moppet hides his toy under the armchair (1,4,8), it's the ball (2).
10. Rags hides his toy behind the drapes and it's the bird (4,8,9).
11. Horace is cuddly (4,6), and his toy is the bunny (1,6,8,9,10).
12. So Bumbles' toy is the fish (8,9,10,11).
13. Moppet is shy (1,5,7).
14. So Bumbles is cautious (1,5,7,13).

Please keep on posting such puzzles (the one with the cards is really hard!).

--ralf
From: jkenton@world.std.com (Jeff Kenton)
Subject: Re: Audible Puzzles or Nonsense Questions was  Re: Slaughter of the Innocents
Keywords: puzzle
Organization: Kenton Systems Corporation, Weston MA
Date: Thu, 27 Aug 1992 14:36:56 GMT

In article <1992Aug27.141733.536@das.harvard.edu> vreddy@das.harvard.edu (Venkatesh Reddy) writes:
>
>Surprisingly, the folowing just like that works here in the US:
>
>How do you pronounce the capital of Louisiana? New Orlins, or New Orleeens?
>

In addition to the obvious problem, you will discover that
natives tend to pronounce it Norlins.


-- 
-------------------------------------------------------------------------
=			Jeff Kenton	(617) 894-4508			=
=			    jkenton@world.std.com			=
-------------------------------------------------------------------------
Newsgroups: rec.puzzles
From: kamphau@oktext.sbc.com (Mark Kamphaus)
Subject: Re: Audible Puzzles
Reply-To: kamphau@oktext.UUCP (Mark Kamphaus)
Organization: Southwestern Bell
Distribution: na
Date: Thu, 27 Aug 92 14:07:15 GMT

In article <12683@grayt> grayt@Software.Mitel.COM (Tom Gray) writes:
>Can anyone give more examples of audible puzzles like this that
>rely on the listener trying to make sense of a nonsense question?
[1] St. Louis or St. Louie - How do you you say the capital of
    Missouri?
[2] Spell Polk.  Spell Folk.  How do you say the white part of
    an egg?
[3] Spell Spot.  What do you do when you see a green light?
[4] What does R-U-S-T-Y-B-E-D spell?  How do you say R-*E*-S-T-Y-*L*-E-D.
x
x
fill
lines
x
x
x
x
x
x
x
x
x
x
x
[1] Jefferson City.
[2] Albumen
[3] Go
[4] a) Rusty Bed  b)Restyled (Re-styled)

mark
Newsgroups: rec.puzzles
From: jes@downey.dev.macsch.com (John Schiermeier)
Subject: Re: Audible Puzzles or Nonsense Questions
Organization: The MacNeal-Schwendler Corporation
Date: Wed, 2 Sep 92 20:01:17 GMT

In article <1992Aug28.174241.1290@ultra.com> wayne@ultra.com (Wayne Hathaway) writes:
>Hope this hasn't been mentioned yet ...
>
>My personal favorite in this genre is:
>
>    How do you pronounce C-H-O, [pause], P-H-O, [pause], U-S-E?
>
>Not many people will recognize the word as chophouse!
>
>    Wayne Hathaway               domain: wayne@Ultra.COM
>    Ultra Network Technologies     uucp: ...!ames!ultra!wayne
>    101 Daggett Drive             phone: 408-922-0100 x132
>    San Jose, CA 95134              FAX: 408-433-9287

A similar one that I've heard a lot:

B-A-C, K-A-C, H-E.

John
From: kubo@brauer.harvard.edu (Tal Kubo)
Newsgroups: rec.puzzles
Subject: Re: Four of a kind
Date: 30 Aug 92 23:22:28 GMT


There is an analysis of the same problem (replacing the numbers with
the absolute values of the successive differences) for 4 real numbers
in Martin Gardner's "Riddles of the Sphinx", if I remember correctly.

ObPuzzle:
Given are 3 heaps of marbles. We may perform the following operation:
choose 2 heaps, and double the smaller one at the expense of the
larger one, i.e.  (X,Y) --> (X-Y,2Y). Show that by a sequence of
such operations, one of the piles can always be reduced to zero.
(This is much harder than the 4-numbers problem...)

-Tal  kubo@zariski.harvard.edu
From: bill@waikato.ac.nz
Newsgroups: rec.puzzles
Subject: Re: Solitaire games
Date: 3 Sep 92 08:57:36 +1200
Organization: University of Waikato, Hamilton, New Zealand

In article <1992Sep2.171001.14517@meaddata.com>, timk@meaddata.com (Tim Klein) writes:
> In article <1992Aug28.063728.20792@dde.dk>, ct@dde.dk (Claus Tondering) writes:
> |> What do you do when you are bored? You are sitting at the doctor's or at
> |> the airport waiting, waiting, waiting. You've read all the newspapers
> |> twice. There is absolutely nothing you can do. But you have a pencil
> |> and a pad of paper...
> 
> 
> This doesn't even require pencil and paper, and it can be played solitaire
> or with a group of suitably bored people:
> 
> Think of two words of opposite meaning that start with the letters A and B.
> (e.g. "Above" and "Below").  Now do the same with B and C, then C and D,
> and so on.
> 
> When you're done with that, go through the alphabet thinking of synonyms
> instead.  (There IS a good answer for W-X, but I've never been able to
> come up with one for X-Y, among others.)
> 
> And when you're done with that, go through the alphabet 3 letters at
> a time.  Name a category that starts with the first letter, and two
> members of that category that start with the other two.  (For example,
> Animals: Bear, Cow.)  I'm sure you can think of ways to make it more
> challenging if necessary.
> 
> 
> ===========================================================================
> Timothy Klein                 I wish I had a kryptonite cross.  Then I
> timk@meaddata.com             could keep both Dracula AND Superman away.
> ...!uunet!meaddata!timk                               -- Jack Handey

You can make these games even more interesting if when it is your turn
you also have to say out loud all the previous words before you can
say the next one. If you forget one of them, or say one out of sequence,
you're out. Gets quite interesting around about T, especially if you can
come up with words that are difficult to remember.

Bill Teahan
"I have never been lost but I will admit to being confused for several
weeks." -- Daniel Boone
From: emru@CAM.ORG (Emru Townsend)
Newsgroups: rec.puzzles
Subject: Re: Riddles
Date: 24 Aug 92 22:49:11 GMT
Organization: Communications Accessibles Montreal, Quebec Canada

In article <1992Aug18.194719.10534@draco.macsch.com> jes@downey.dev.macsch.com (John Schiermeier) writes:
>>4      T Z in the U S
>
>Shouldn't it be 6, or C U S ?  There is Alaska and Hawaii-Aleutian.

I think that's "4 Time Zones in the United States".

==========================================================================
Emru Townsend        Fido: 1:167/133        emru@cam.org        BIX:switch
Q:  Do you know what the death rate around here is?    A:  One per person.
From: mcsweinberg@memstvx1.memst.edu
Newsgroups: rec.puzzles
Subject: Re: Little Quiz
Date: 31 Aug 92 14:48:47 -0600
Organization: Memphis State University

In article <714642873.F00002@csource.oz.au>, Peter.Wong@p2.f158.n633.z3.fidonet.org (Peter Wong) writes:
> hehheh Adrian I think the fig leaves give it away... BUT the real reason is that
> they had no bellybuttons! - as they were created not born.
> 
Just to add a small wrinkle...If this is out of line forgive me I've never
read this group before. But Isn't belly button flesh and therefore would have
eroded now perhaps if you said that the male was missing a Rib and the female
had one that fit perfectly.

Rai.
-----------------------------------------------------------------------------
Damn I wish I was your lover                       Raina Weinberg
I'll rock you till the daylight comes         Memphis State University
Make sure you are smiling and warm                Memphis, Tennesee
I am everything                            MCSWEINBERG@MSUVX1.MEMST.EDU
Tonight I'll be your mother I will
Do such things to ease your pain
From: filfeit@rael.Tymnet.COM (Fil Feit)
Newsgroups: rec.puzzles
Subject: Penny in a bottle
Date: 27 Aug 92 16:53:08 GMT
Reply-To: filfeit@rael.Tymnet.COM
Organization: Sun Microsystems

You have a wine bottle with a penny inside and it is closed with a cork.

How can you get the penny without removing the cork (or breaking the bottle)?

--f2
From: Bob_Hearn@qm.claris.com (Bob Hearn)
Newsgroups: rec.puzzles
Subject: Re: Intersection of 4 Solid Cylinders = ??? * SPOILER *
Date: 3 Sep 92 16:57:30 GMT
Organization: Spartacus Software

In article <1992Sep2.215816.18987@nas.nasa.gov>, asimov@wk223.nas.nasa.gov (Daniel A. Asimov) writes:
> 
> It is well-known (and a problem in many calculus books) to calculate the
> volume of the intersection of 3 identical, mutually perpendicular solid cylinders.
> It turns out that the shape so formed has 12 curved faces.  (For those familiar
> with the term, they are arranged like the faces of a rhombic dodecahedron.)
> 
> Now suppose that the 4 major diagonals of a cube are each thickened
> to become a solid cylinder of some small radius R.
> 
> QUESTION:	How many curved faces does the intersection of 
> all 4 cylinders have?
> 
> --Daz
> 
> P.S.  I must confess that this differs from many of the puzzles posted 
> here in that I, the poster, do not know the answer.
> 
> 

8.  It's shaped like an octahedron with curved faces.

It's easiest to see this by thinking of pairs of cylinders.  Look at a cube
facing an edge, with a face facing down.  From this viewpoint, the upper-left
and lower-right vertices define the angle of one cylinder, and the upper-
right and lower left define another.  The intersection of these two has four
curved sides.  It is just a deformation of the intersection of two cylinders
at right angles.  Now rotate the cube toward you so that you're looking at
what was the top.  Only two faces of the cylinder intersection are visible
to you now; the other two are facing away from you.  Rotate this shape
90 degrees clockwise and intersect it with itself.  Visualize!

Don't ask me what the volume is!

Bob

--
Scott Lindsey <wombat@claris.com>
Newsgroups: rec.puzzles
From: rstimets@silver.ucs.indiana.edu (robert and stimets)
Subject: Re: <None>
Organization: Indiana University
Date: Fri, 28 Aug 1992 04:53:26 GMT

In article <1992Aug26.233652.15141@husc3.harvard.edu> vreddy@husc3.harvard.edu writes:
>In article <1992Aug26.215348.4776@noose.ecn.purdue.edu>, berninge@iron.ecn.purdue.edu (James A Berninger) writes:
>> In article <12683@grayt> grayt@Software.Mitel.COM (Tom Gray) writes:
>>>Can anyone give more examples of audible puzzles like this that
>>>rely on the listener trying to make sense of a nonsense question?
>> 
>> My personal favorite is "Who's buried in Grant's Tomb?"
>> Grant and his wife are entombed there, but no one is buried there.
>> (I'll probably get flamed for that one.)
>> 
>> Jim Berninger                   ______ "This is no 'Whoops!'  This is
>> B0 w- c- g k s- e r- p          \    /  an 'Aaaaaaaauuuuuggggghhhh!'"
>> berninge@cn.ecn.purdue.edu       \  /   - Harvey ("Arnold") Fierstein
>> Green Lantern Fan, Extraordinaire \/      "Torch Song Trilogy"
>
>I dunno if this is what you are talking about, but what about the bus-stop
>question? You know... a bus stops at the first stop and 5 get on... the next
>stop, 2 get on and 3 get off, the next stop, 5 get on abd 1 gets off, etc etc
>etc... then the question at the end: How many stops did the bus make?
>
>The people are so preoccupied doing the math, which they are led to believe is
>the key to the question, and they are caught without an answer when they
>realize the question asked them for something they weren't paying attnetion
>to.. :)
>
An ofshoot to this one goes:

OK, your driving a bus, right.  Well at the first stop... etc...
So now who's driving the bus?

RStimets



Newsgroups: rec.puzzles,sci.philosophy.tech,sci.philosophy.meta,sci.logic
From: scholar@meena.cc.uregina.ca (SCHOLAR)
Subject: Re: Nomic
News-Software: VAX/VMS VNEWS 1.4-b1  
Organization: University of Regina, Regina, Sask., Canada
Date: Wed, 26 Aug 1992 09:08:00 GMT

How about a Nomic like game where the rules are subroutines that automatically
activate in the appropriate conditions (production rules).  That way you could
have a real fizbin type game.  Bill it as the first computer game designed by a
democratic process.

"They can have my security blanket when they pry it from my cold dead fingers!" 
 (;              Joshua Scholar (scholar@meena.cc.uregina.ca)               ;)
kalanit.wisdom.weizmann.ac.il
 dany
Newsgroups: rec.puzzles
Subject: big number
From: dany@kalanit.wisdom.weizmann.ac.il (Nabutovsky Dan)
Date: Wed, 2 Sep 1992 08:33:54 GMT
Distribution: rec
Organization: Weizmann Institute of Science, Computation Center

   What does following line of digits mean or signify:
	 8549176320

   Dan
Newsgroups: rec.puzzles
From: cab@col.hp.com (Chris Best)
Subject: Re: Audible Puzzles or Nonsense Questions
Date: Fri, 28 Aug 1992 15:27:23 GMT
Organization: your service

> |> > OK, Jeff <snicker, snicker>, how about the capital of Kentucky:
> |> > Lew-ee-ville, or Lew-is-ville.
> |> 
> |> ----------
> |> 
> |> To be frank, I'm not sure either one is correct...
> 
> Although Louisville isn't the capital (as we all know because the joke
> wouldn't be a joke otherwise), Chris is right... the pronunciation,
> to be anal here, is actually Looville, not Lew-ee-ville.

----------

Thanks for the support, but FRANKly,  that's not the point I was making!
Newsgroups: rec.puzzles
From: ssave@ole.cdac.com (Shailendra Save)
Subject: 30 questions
Organization: CDAC, WA
Date: Tue, 25 Aug 1992 17:26:46 GMT


  This is a typical 30 questions puzzle.  I have a number of them,
and I will start with one.  The aim of the puzzle is to find a
plausible story that will fit the scenario that I am going to put
to you.  You have 30 questions that you can ask, to which I will
only answer "Yes" or "No".  You have to find out what happened.
Please send me direct email, I will reply to you directly, so that
others' fun is not spoiled.  Internet should be fast enough. Besides,
you need time to think in-between. Please don't post any answers (with
or without "SPOILERS" subject headings on the net.)
Here goes:

30 questions(Puzzle 1)

 A man walks into a bar. He asks for a glass of water.
 The bar-tender looks at him and gives him a glass of water.
 The bar-tender pulls out a gun and points at the man.
 The man smiles and leaves.
 What happened here?



 -Shailendra
 ssave@ole.cdac.com
Newsgroups: rec.puzzles
From: kedlaya@metropolis.super.org (Kiran Sridhara Kedlaya)
Subject: Re: Four of a kind
Organization: Supercomputing Research Center
Date: Thu, 27 Aug 1992 19:53:47 GMT

Sure. First notice that the maximum of the four numbers never increases as
you perform the operation.

Now observe: (o means odd, e means even)

o o o e
e e o o
e o e o
o o o o
e e e e

e e e o
e e o o and continue as before.

Since every row of four is of one of these forms (easy to check), every row
reduces to all evens within four moves.

But within four more moves the row will reduce to all multiples of 4, then
8, then 16, etc.

Eventually they'll all be divisible by a power of 2 greater than the maximum
of the numbers. That means they're all 0.

For details as to how quickly this occurs, see "More on the Four-Numbers
Game" by Daniel Ullman in the June '92 (I think) issue of Mathematics
Magazine. I believe he also mentions some generalizations of the question.

Kiran Kedlaya
Supercomputing Research Center (for now)
kedlaya@super.org
Newsgroups: rec.puzzles
From: bodom@silver.ucs.indiana.edu (Brian Odom)
Subject: ANYONE INTO LOGIC PROBLEMS?
Organization: Indiana University
Date: Mon, 31 Aug 1992 17:34:33 GMT

Just wondering if there's an interest here in logic problems.  If you don't
know what they are, I'll post one and see what you all think.  I love them,
but I haven't seen any support for them.  I'll post a logic problem and 
a step-by-step solution later.

I'm new to this group, so if there's a newsgroup dedicated towards logics,
don't flame me.
-- 
Brian T Odom
From: elkies@ramanujan.harvard.edu (Noam Elkies)
Newsgroups: rec.puzzles
Subject: Re: Word puzzle
Date: 3 Sep 92 16:16:30 GMT
Article-I.D.: husc3.1992Sep3.121631.15336
Organization: Harvard Math Department

In article <10109@uqcspe.cs.uq.oz.au> grue@cs.uq.oz.au writes:
>For 9 letters (length 21):
>    PROBATORY prokaryot prokaryon procaryon acrophony phonatory [...]

Surely if "procaryon" is an accepted spelling of "prokaryon" then
"procaryot" should be allowed for "prokaryot", reducing the distance
by one?  (The dangers of databases...)

--Noam D. Elkies (elkies@zariski.harvard.edu)
  Dept. of Mathematics, Harvard University
From: vreddy@das.harvard.edu (Venkatesh Reddy)
Newsgroups: rec.puzzles
Subject: Re: Audible Puzzles or Nonsense Questions was  Re: Slaughter of the Innocents
Keywords: puzzle
Date: 27 Aug 92 15:42:38 GMT
Article-I.D.: das.1992Aug27.154238.2162
Organization: Aiken Computation Lab, Harvard University

In article <BtnCLK.7qn@world.std.com>, jkenton@world.std.com (Jeff Kenton) writes:
|> In article <1992Aug27.141733.536@das.harvard.edu> vreddy@das.harvard.edu (Venkatesh Reddy) writes:
|> >
|> >Surprisingly, the folowing just like that works here in the US:
|> >
|> >How do you pronounce the capital of Louisiana? New Orlins, or New Orleeens?
|> >
|> 
|> In addition to the obvious problem, you will discover that
|> natives tend to pronounce it Norlins.
|> 
|> 
|> -- 
|> -------------------------------------------------------------------------
|> =			Jeff Kenton	(617) 894-4508			=
|> =			    jkenton@world.std.com			=
|> -------------------------------------------------------------------------

My mistake...actually, I say it Norlins too... I mean to tWRITE Norlins... 
unfortunately, my phonetic spelling is often askew... :)
From: iad@cogsci.ed.ac.uk (Ivan A Derzhanski)
Newsgroups: rec.puzzles
Subject: Re: 30 questions
Date: 26 Aug 92 14:50:17 GMT
Organization: Centre for Cognitive Science, Edinburgh, UK

In article <1992Aug25.172646.1435@ole.cdac.com> ssave@ole.cdac.com (Shailendra Save) writes:
> A man walks into a bar. He asks for a glass of water.
> The bar-tender looks at him and gives him a glass of water.
> The bar-tender pulls out a gun and points at the man.
> The man smiles and leaves.
> What happened here?

He does give him a glass of water, does he?  And still he goes for the
gun trick as well afterwards?  Doesn't the water help the man
(hiccoughs can be very persistent, you know), or is it the case that
we just encountered a truly new situation puzzle that wasn't in the
notorious FAQ list?

-- 
 `If ye hiv ears oan yer heid - then use them tae lissen.' (The Glasgow Gospel)
Ivan A Derzhanski   (iad@cogsci.ed.ac.uk;  iad@chaos.cs.brandeis.edu)
* Centre for Cognitive Science,  2 Buccleuch Place,  Edinburgh EH8 9LW,  UK
* Cowan House, Pollock Halls, 18 Holyrood Park Road, Edinburgh EH16 5BD, UK
Newsgroups: rec.puzzles
From: guckes@math.fu-berlin.de (Sven Guckes)
Subject: Re: word permutations and rotations
Originator: guckes@medusa
Keywords: word permutat rotat
Organization: Free University of Berlin, Germany
Date: Fri, 4 Sep 1992 14:50:04 GMT

Would someone please be so kind and save the posted information ?
I'm sure it would make a good FAQL for the next time somebody asks
about puzzles like these.
Sven :)
From: skataba@pbhyf.PacBell.COM (Sam Atabaki)
Newsgroups: rec.puzzles
Subject: Re: 2,3,4,5,6,7,8,9,10,?
Date: 26 Aug 92 03:03:56 GMT
Reply-To: skataba@PacBell.COM (Sam Atabaki)
Distribution: rec
Organization: Pacific * Bell, San Ramon, CA

In article <1992Aug25.120533.24301@wisipc.weizmann.ac.il> dany@marva.wisdom.weizmann.ac.il (Nabutovsky Dan) writes:
>   What is the next item in the serie:
> 2, 3, 4, 5, 6, 7, 8, 9, 10, ?, ...
>
>   (Not 11)
>
>   Dan.

Solution #1: any number is created by adding the previous
number and previous number's number of digits, ie 3 is made by
adding 2 and the number of digits in 2 (one).
So, the next number is 12 (10+2). 

Solution #2: to find the next number add "1" if the current
number is less than 10, otherwise add X (or subtract, multiply by,
etc...). So you can choose any number that you wish to be the next
in the series. 

Solution #3: to find the next number add "1" if the current
number does not contain a "0", otherwise add X (or subtract,
multiply by, etc...). Like #2 above you can choose any number
you wish to be the next in the series. 

One can come up with hundreds of this kind of answers. Some
more examples:
To get the next number add "X" if condition is true, otherwise
add "1". 
   if current number has more than one digit
   if current number has exactly two digits
   if current number is divisible by 10
   if current number contains both "1"s and "0"s

-Sam Atabaki