BrainDen.com - New Puzzles & Riddles

Interleaving strings with overlap

Fri, 20 Nov 2009 20:07:03 +0000

Interleave the three 19-long strings

MOTMMNEEITEAEOENANU
HWOCOMNTSNWOLRYDGSI
TETSOLEHRDHRDTPIDTY

so that they may overlap only at
letters they have in common and
together they form the shortest
possible string (not necessarily
an English sentence).

Here is example solved problem of
this type:
Suppose that the three strings were

HEGOOMOASUTYPOATHII
EISPLLIHTOPRLMTHTSS
RADEXAEFOTONTOEEFBE

Each of these can be stretched out over 45 positions
so that each of the 45 positions is covered by a
letter from at least one of the three. Furthermore,
letters at positions of overlap must agree:

            HE GO O    MOASUTYPO    A T  HII
   EISPLL  IH    TO PRLM    T        HTSS
RADE     XA  EF OTON        T  OEEFB        E

RADEISPLLXAIHEFGOTONPRLMOASUTYPOEEFBAHTSSHIIE

This 45-long string, although not unique, is as
short as possible while fulfilling the requirements
of the problem.

Interleaving strings without overlap

Fri, 20 Nov 2009 20:05:20 +0000

Interleave the three 19-long strings

MOTMMNEEITEAEOENANU
HWOCOMNTSNWOLRYDGSI
TETSOLEHRDHRDTPIDTY

so that they don't overlap and
together they form a 57-long string
which is a good English sentence
with the spaces collapsed out.

Here is example solved problem of
this type:
Suppose that the three strings were

HEGOOMOASUTYPOATHII
EISPLLIHTOPRLMTHTSS
RADEXAEFOTONTOEEFBE

Each of these can be stretched out over 57 positions
so that they do not overlap and each of the 57 positions
is used by at least one of them this way:

HE     GOO    M   O AS  U      T   YP     O      A THI I
   EIS         PL      L  I     H T   O PR  L MTH T   S S
  R   A   DEXA   E F  O  T ONTO  E   E F   B E

HEREISAGOODEXAMPLEOFASOLUTIONTOTHETYPEOFPROBLEMTHATTHISIS

Which is the odd one out?

Fri, 20 Nov 2009 20:02:45 +0000

Which of these words is the odd one out?

easter

homily

jumping

pumpkin

scared

Simplicity......

Fri, 20 Nov 2009 13:58:14 +0000

i was born
i came,lived and went back there
a song, a voice
travels all over the world
but comes back to where it began
just like you
i know it was my 'beginning'
just like evolution, theories
the root.....

i see it
it starts a fire inside me
i want it
nothing else seems to matter
but it
like heroin to an addict, a new doll to a little girl
i fall for it
i neglect all aspects of my life
but it

too much pain, so many arguments
i can't take it anymore
what started must now end
so now i say formally
'please.....'

what am i looking for?
an answer of course
three actually
but also another
that pulls them together
what do i mean?
you'll soon see......

What could you do with this?

Fri, 20 Nov 2009 09:32:49 +0000

HIJKLMNO

weights

Fri, 20 Nov 2009 07:01:18 +0000

there are 5 balls with same shape but different weights; 1,2,3,4,5 grams.
you have an electronic scale. you have to put 3 balls on the scale for every measurement. how many measurement is required at minimum to guarantee to know the weights of all balls.

Can you name us

Thu, 19 Nov 2009 22:53:56 +0000

We come each year in many shapes and sizes
Used for many things even if one of us dies
We change through time and start off soft
If retrieved though we are usually lifted aloft
We are prized for looks, love and battle
Showing us for many are even given a title

I am not the best at the rhyming stuff

Circling Numbers

Thu, 19 Nov 2009 18:10:15 +0000

Here's a quick one before the weekend...

You arrange the digits 1 through 9 in a circle (or a modular/wrap around line). You then find the largest sum formed by any three digits in a row from your circle.

What is the smallest sum you can obtain? Show one such solution to the circle.

Changeling

Thu, 19 Nov 2009 13:44:17 +0000

One becomes three
Three become one
Add in an st
And it's even more fun
Changed once again
Now it's five, you see
But wait just a minute
Cause it's also still three

W.A.I.

Consecutive Integers and Sum Puzzle

Thu, 19 Nov 2009 07:16:23 +0000

Prove that the sum of the squares of 2007 consecutive integers cannot be the n-th power of an integer, whenever n is any integer >=2.

Digit Separation and Extreme Values Puzzle

Thu, 19 Nov 2009 07:11:13 +0000

A base ten 10-digit positive integer N contains precisely two 4s, two 3s, two 2s, two 1s and two 0s.

The 4s are separated by four digits, the 3s are separated by three digits, the 2s by two digits, the 1s by one digit and the 0s by no digits.

Determine the respective minimum value and the maximum value of N. It is known that N cannot contain any leading zero.

pleas fallow the rules

Thu, 19 Nov 2009 02:27:13 +0000

There is a land far far away,
That if you opened the door,
You get there almost right away,
The door is hidden in your thoughts,
To dig it up takes quite a lot,
Some take pills,
Others use thrills,
But they never work exactly the same,
Where is this land,
Can you tell me,
And how to get there,
I need to know to.

rules:

don't cheat. no peaking at the spoiler.
read it over and over till you get it.
and no looking at other spoilers.
my oh my this will be fun

Spoiler for

Gibberish????

Wed, 18 Nov 2009 23:14:43 +0000

Personally, I would give this puzzle a difficulty rating of 2 stars, however, it seems more difficult when you don't know how it works.

A mysterious message was found in the school caf�teria, the principal, being the post-9/11 paranoid that he is, fears that this may be a death threat, but his naive vice-principal believes that it simply a bunch of harmless gibberish. The principal is not so easily comforted, so he offers a $50 reward to anyone who can tell him what the message says.

Which day?

Wed, 18 Nov 2009 14:24:19 +0000

Hi,

Need help on this question. On which of the two days of the week, Saturday or Sunday, does New Year's Day fall more often?

Sunny Day Blues

Wed, 18 Nov 2009 13:15:02 +0000

There is this guy that lives in my building. He leaves for work before me so I never see him leave, but we always get home at the same time and ride the elevator up together; he to the fifth floor and I to the sixth. Yesterday it stormed all day, like cats and dogs I tell ya, and when we rode the elevator in the afternoon the guy pushed the button for the eighth floor.

"Visiting a friend?" I asked.

To which he replied, "Nope, I live in apartment 803."

So why does he normally get off at the fifth floor??

---as the title says, not my riddle, and if you have seen it before let a page or so go by before answering so that those who haven't can try and figure it out

How many ways

Wed, 18 Nov 2009 12:23:05 +0000

A robot is given a 4-letter name and 4-letter surname, using the letters of the 26-letter alphabet. None of the letters used in the name is used in the surname.

In how many different ways can this be done?

Example: "VGGA NNEN"

Interesting Poker Puzzle-- If You Like Poker

Wed, 18 Nov 2009 10:15:35 +0000

Here's a poker puzzle. It helps if you have a basic understanding of Hold 'Em.

A dinner host has invited N guests to enjoy a meal. At the end of the meal, he will offer each guest a two card Hold 'Em hand. The winner of the hand will receive a nice door prize. He then deals a rigged three card flop and fourth card in the middle of the table (by rigged, I mean he has set the cards ahead of time). If you know Hold 'Em, you know there is one more card to come. The host does not want anyone to share the door prize, so he must make sure that everyone at the table can still win the entire prize (no ties). But he also wants to make sure that there is at least one card left in the deck that will give each person a winner (the remaining cards are randomly shuffled to ensure a fair outcome).

1. Prove the maximum possible value for N. (remember, everyone is drawing to win the entire prize and there is at least one card left that will give them the win). Hint-- N is greater than the normal 9 or 10 players in a typical Hold 'Em game.

2. Solve for N (there are a few solutions). The solution must include the hands dealt to each person, the four cards in the middle, and the remaining cards left in the deck, and which hand will win with which card/s.

This scenario actually came up at a dinner party I was invited to this summer. Ten of us were "dealt" in and with one more card to come, 9 of us were drawing to a win. We thought the host did a nice job with this little game, but wondered what the max N would be. It turns out there is a max N and there is a solution. Enjoy.

Wisdom verses brains

Wed, 18 Nov 2009 03:19:33 +0000

A dying man had to choose between his three sons for who would receive his house. He gave them each 2 coins to buy something that would fill the largest room in the house completely. The first son bought a bag of feathers. The second son bought a bag of rice. The third son bought 2 objects, however. The feathers only filled the room a quarter of the way full. The rice only filled it half full. The third son's gift filled the whole room entirely with his two objects. What did the third son buy?

Riddle of Kings

Wed, 18 Nov 2009 03:09:16 +0000

Two men were sitting in a room with 55 bicycles. One was shot. Why was he shot?

... --- ...!

Tue, 17 Nov 2009 23:12:59 +0000

-.. .- ... �. -.. --- - -.. .- ... �. -.. .- ... �.
-.. .- ... �. -.. .- ... �. -.. .- ... �.
-.. .- ... �.-.. --- - -.. --- - -.. .- ... �. ! crack this one and I'll tell you how good a coconut you've got.

No Time for Titles

Tue, 17 Nov 2009 19:38:05 +0000

It's not a game
Well, sometimes it is
Don't take it too seriously
Or you'll never live

Basketball or pool
Are types of me
But I don't sound proper
Say me slangily

Nothing left out
Everything combined
I might come after
An = sign

We can be played
We can even be turned
Do the former to a friend
You might get spurned

And the theme of the words is....

Triplets and Minimum Query Puzzle

Tue, 17 Nov 2009 16:55:38 +0000

There are three identical triplets, Adam, Alan and Alex. It is known that precisely one of them is a truthteller, exactly one of them is a liar and the remaining triad member is an alternator, that is, he alternates true statements and false statements

Frank, who is a mutual acquaintance of the three brothers is currently looking for Adam. He chances upon two of the triplets. Unfortunately, since the brothers look exactly the same he is unable to distinguish between them.

What is the minimum number of questions Frank must ask the duo to guarentee that he can determine which triplet (either one of the two, or the one who's not there) is Adam?

Monthly multiplication and prime puzzle

Tue, 17 Nov 2009 16:39:39 +0000

Solve the following alphametic multiplication puzzle, where each of the capital letters denotes a different base ten digit from 0 to 9. However, each asterisk represents a base ten digit from 0 to 9, whether same or different. None of the numbers can contain any leading zero.

       * * * * * *       
               * *                   
      -------------                  
       * * * * * *                    
     * * * * * *                       
    ---------------                    
     O C T O B R E                
                                          
                                          

where each of OCTO, CTO, CTOB, TO, TOBR, TOBRE, OBRE,  BRE, 
BR,  RE and E is a prime number.

M&M(s)

Tue, 17 Nov 2009 13:30:11 +0000

Some old friends return
New faces arrive and leave
Me I still remain

Portrayed in motion
Always on the defensive
Where the heck's Danny?

Hopefully not too obscure

Spoiler for setup

Ample Eerie Confab

Tue, 17 Nov 2009 04:16:57 +0000

Of the moment, a spur
Coming out, like a blur.

Not a moment of thought,
Some’d say “On the spot.”

Delivered without notes
Finished, barely composed.

Not prepared in the least,
But proving I’m not deceased!

Spoiler for A Disclaimer...Seriously

The Musical

Tue, 17 Nov 2009 03:24:30 +0000

This is an easy puzzle I just came up with:

I blast for 3 beats, then the volume turns down
The verse runs on while I lay down
The speakers blare with differing power
For a whole 3 verses, then grow out and flower
The music changed a lot of times
To adapt to the modern signs

There are a couple other verses that will only be posted if you guys seriously need a hint, which I highly doubt.

(edit - grammar)

#394...

Tue, 17 Nov 2009 01:57:46 +0000

Worn on the top;
Placed in the middle.
Have fun in the final,
Solve this riddle.

OOOPPPS!!!

Mon, 16 Nov 2009 20:42:39 +0000

I never chose to be like this,
Maybe it was an injury.
I�m not one of a kind,
Or so you say
I don�t have to know you,
To know what you�ve done.
All I have to do is enter the scene,
And I see you.
I can pin murders,
With precise details.
I try to help police,
But they don�t always listen.
My kind are usually kind,
But who knows,
Maybe we can be bad.
But what happens when you see,
Especially when it�s something your not supposed to.

rare

Mon, 16 Nov 2009 20:38:06 +0000

I�m the rarest of my kind
Don�t you know,
To have both parts
Is to be like a god
Everyone says bad thing of me
But why should I care
Maybe they�re jealous,
But I don�t care.
My father is my grandfather
And I am his daughter and granddaughter.
I can make my own children
Even if that would be different,
But that�s what I want,
For them to be free of sin.
For they were not conceived through intercourse.
I am their father and their mother.

Bonus point for the one who gets the title of the book i got this out of!!!

Street racing

Mon, 16 Nov 2009 12:56:24 +0000

I was sitting in my car by the side of a highway, when i saw a car coming from behind.
I started my engine and only when the distance between that car and mine was 10x i started moving.
Though that car was moving with a constant speed 10x/3 and i was accelerating uniformly, after i drove for a distance 10x,
that car became exactly next to me.
At that exact moment i decreased my acceleration to the half, and drove for a distance of 45x/4 and the distance separating us became 12.5M (41.01ft)

Which of the following cars could i possibly be driving?

- SEAT ALTEA TDI 2.0 DSG
- FERRARI F50
- TECHART PORSCHE CAYENNE TURBO
- LOTUS EXIGE
- Mercedes G55 AMG
- Levent-Sisli Suzuki DL650 V-Strom

Notes:
- He's never in the front.
- The movement is linear.

Spoiler for hint

Lights Camera Action!

Mon, 16 Nov 2009 05:55:12 +0000

just little tribute since was watching anna and the king when i wrote this =)

it taken forever to prepare
but the stage was set
the performance to begin
we could see little

Opera glasses just to see a face
and the play lasted only a few hours
the intermissions were boring
but when it was finished i did consider it quite great

the pros were quite in character
the met would be jealous
anna and the king quite the delight
what will the reviews say?
only time will tell.

i might not be too active in the next week or so... my exams do await. but ill definitely check back periodically for this riddle

Hot Headed

Sun, 15 Nov 2009 22:06:15 +0000

Some of you here may remember this sort
Solve the six below and then I'll report

I come before dinner, and then we drank
Prior to surf and ski, but let's be frank

Maybe not your type since those elite I avert
Or when craving the unusual, let them eat dirt

Spoke of exasperation or relief that it's passed
But to the ancients they list me second to last

English it's still, but mostly of yore
May be in a name, if quaint is in store

Forced to hide so has become quite keen
Giving an edge, if you know what I mean

It's around between the North and the East
Been a long time, certainly not in the least

Balancing Out

Sun, 15 Nov 2009 19:39:20 +0000

Helping horses find a drink,
Could be a helpful clue.
When Danno throws you in the clink,
This could give something to do.

High schools often use these for pep,
Others for a long dusty race.
You need at least a 53 to clep,
And without your lawn could be disgraced.

Several sets of this to find,
And a title to relate.
It won't be hard, just clear your mind,
And take some time to concentrate.

What do you have??

Sun, 15 Nov 2009 17:07:16 +0000

Fly in the sky
Run along the ground
And with droplets
I could easily drown.

YOU MIGHT SAY STOPWATCH.

Sun, 15 Nov 2009 14:52:28 +0000

I will stop time,
It's done on command.
I can do this,
you must understand.
Frozen and held,
In the palm of you hand.
Evidence is left
If you demand.
What might I be,
that will do that.
This you must tell,
A fact is a fact.

[color="#FF0000"]HOT[/color] TO TROT

Sat, 14 Nov 2009 23:31:37 +0000

It turns me on, just the way you move.
When you walk by, strut that groove.
Once your gone, I'll cool right off.
Til you pass by again, & make me hot.

how dashing!

Sat, 14 Nov 2009 22:15:20 +0000

what is the fastest city in America?

TAKE IT OFF

Sat, 14 Nov 2009 18:47:05 +0000

On your shoulders
you do carry
such a heavy load
not a monkey
on your back
no not one of those
still it's what
you'll carry
and on your back
it will ride
it is not a child
or an emotion
running high.

Greatest value of M

Sat, 14 Nov 2009 15:08:39 +0000

I have chosen two different numbers greater than N but less than M. I tell their sum to Mr. S and their product to Ms. P. The following conversation ensues:
Mr. S: I cannot determine the two numbers.
Ms. P: I cannot determine the two numbers either.
Mr. S: I still cannot determine the two numbers.
Ms. P: Now I can determine the two numbers.
Mr. S: Now I can determine the two numbers also.
Find the greatest value of M for which this puzzle has a unique solution, for N=1, N=2 and N=3.

Find value of x, y ,z

Sat, 14 Nov 2009 14:24:18 +0000

If x, y, z all are positive integers... then

31x^3 - y^3 = z^3.

Now, if you consider non-positive integer solutions then..

(0, -1, 1) and (42, -65, 137) are some of the solutions...

So, find out positive solutions only