BrainDen.com - New Puzzles & Riddles

game&strategy

Tue, 10 Nov 2009 07:51:36 +0000

you are playing a game with your friend on a 7x7 chess board.
you begin first and put a "0"(zero) on any square on the board, then your friend puts a "1"(one);
next you put zero, then your firend puts one...
game is going on so until all squares are marked with zero's and one's.
afterthat sum of the numbers in each row and column are notted;

i)odd numbers of those summed numbers go to you,
ii)even numbers of them go to your friend,

you and your friend add your numbers,the one whose collected number is higher than the others wins the game.

Question:

assuming that you and your friend play the game without any mistake/fault(i.e. both are expert on this game),
what can be the maximum number that you can get?

Eternal Night

Tue, 10 Nov 2009 00:15:50 +0000

Wow... I just realized I haven't made a riddle in (p)ages! Sorry if this one isn't great, I just wanted to start getting at these again.

Sounds around me pound my ears.
A soothing voice calms my day.
Floating in my purgatory for an eternal night.
Confines growing ever smaller.

Sudden eruptions of lights and beeps.
Soft hands and softer kisses.
Out of bliss and discovering feelings.
The darkness comes and lends its warmth.

The Inept Assasin

Mon, 09 Nov 2009 23:28:02 +0000

a little quick and easy one i just thought of

it may be smaller than you
and weighs less than an ounce
but it can come at its target with a blade
it can stab while it does a little twirl
the remains may need to be picked out of its teeth
but it cant kill you or me (at least not usually)

New Genetics Problems

Mon, 09 Nov 2009 22:18:08 +0000

There is an effect that only shows when someone is homozygous recessive for the trait. This phenotype shows in one certain female, who has a child with a male who does NOT show the trait. not all females get this effect, and males can also get it too. The couple has a child that shows the effect [which is being homozygous recessive]. They have another child who also shows the effect. Then they have a THIRD child who shows the effect.

What WAS the probability before it was born that the first child would show the recessive phenotype?
What WAS the probability before IT was born that the second child would show the phenotype?
What WAS the probability before IT was born that the third child would show the phenotype?

This is the answer...

Spoiler for My Answer

try it this time

Mon, 09 Nov 2009 21:57:38 +0000

wibheten ythoatu wyeoure yplouaynedg hiande sedek.
it chaatn aylomoust ahassveure bestcauudse oiefs.

if you figure it out, good job

Another one messed up

Mon, 09 Nov 2009 21:25:49 +0000

spoemoep dloenkt nwohw etno guipve.
asnod mtehairnegs bleetftteur nsaid.

not a pow or a w.a.i
good luck!

Status Quo

Mon, 09 Nov 2009 18:51:52 +0000

have fun with this one.

Its purpose is to maintain the status quo
it used to trap but some may still escape
especially when the hatch is open
its a vessel but its not an aquatic ship
because of nothing its able to work
its outer is different from its inner
in winter to summer it can be of use

Two Urns and Two Colored Balls Puzzle

Mon, 09 Nov 2009 18:51:08 +0000

From urn A containing 4 white and 8 black balls, 6 balls are transferred into an empty urn B. Three balls are now drawn from urn B, and each of them happens to be white.

Determine the probability that a fourth ball drawn from urn B will be white, if:

(I) The first three balls are returned to urn B.

(II) None of the first three balls are returned to urn B.

Powers, Six digit Numbers and Substitution Puzzle

Mon, 09 Nov 2009 18:44:27 +0000

Substitute each of the capital letters by a different base ten digit from 1 to 9, to satisfy this set of cryptarithmetic equations. Each of F, G, H and I represents an odd digit.

GBIGBE = (EDB)^D, and:

ADBADF = (HDH)^D, and:

HGAHGC = (BEC)^D

ONE YOU CALL ' COACH ' ?

Mon, 09 Nov 2009 14:20:23 +0000

I have several heads,
But only one base.
Some come with an EYE,
but none with a face.

None like to dance,
One likes to tap.
One's double ended,
Some have a cap.

One has a shoulder,
another has a thumb.
One is just One-Way,
One's headless, how fun.

BLACK & WHITE

Mon, 09 Nov 2009 13:31:54 +0000

Some may be BLACK,
Some may be WHITE,
A Few give up easy,
A Few put up a fight,
both are unwanted,
both are not liked,
Nobody needs them,
BLACK ones or WHITE.

Red Capes

Sun, 08 Nov 2009 16:57:50 +0000

This is a really far fetched guess that I thought of when reading txmom2's The King (good riddle btw!). So I'm taking a couple of her lines and running with it!

Wearing red he comes opposite the crown
Everyone feels uncomfortable when he is around
Invasion and occupation, yielding shock and uprise
But the problem is: abrupt leaving would yield equal surprise

Twenty Six Grim

Sun, 08 Nov 2009 16:28:56 +0000

I earn twenty six grand but that's two too many.
I get cold without my coat so I try not to lose it.
My servant does all of my dirty work for me;
She's a little grim and hefty, which is just like her music.

UNSEEN, but SEEN ?

Sun, 08 Nov 2009 14:20:23 +0000

It's something that's nothing,
but how can that be?
These are so very common,
it's NOTHING you SEE.
They are always in something,
if a physical kind.
Some are more Metaphoric,
that you can find.
Either way they are there,
and here to stay.
Some we use, some we won't,
some are for play.
So what is it? that is nothing,
if something IS not.
What the heck are these things?
What have you got?

Spheres in a cone

Sun, 08 Nov 2009 12:41:58 +0000

An infinite amount of spheres are placed in a cone with a half angle x (0<x<90) as in the diagram below. Find the ratio:

(total volume of spheres) / (volume of cone)

I hope this one last more than 30 minutes this time.

Bad Poll

Sun, 08 Nov 2009 10:24:11 +0000

Today I came across a website that has a daily poll. Today the question was

'How often do you visit this site?'
1. About once a day (75%)
2. About once a week (20%)
3. About once a month (4%)
4. About once a year (1%)

I have simplified the options and results for the purpose of this puzzle. Assume that everyone can fit into one of the four categories. However, it should hopefully be obvious to a statistician (probably no so much to the people who posted the poll) that the results are not representative.

Can you adjust the results of this poll to give more representative data?

square-free

Sun, 08 Nov 2009 03:08:40 +0000

the classic square free sequence (a sequence of digits such that no adjacent sequence of any length is the same) is fairly widely known.

0
12
1020
10212012
...
the next line is generated by 3 substitution rules,
0 -> 12
1 -> 102
2 -> 0
you might note that the length of the sequence always is a power of 2.

now for the puzzle:
can you create substitution rules for 0,1,2,3 such that the sequence is square free and length of the sequence is powers of 3?

Acid and two representations puzzle

Sun, 08 Nov 2009 02:11:17 +0000

Substitute each of the letters by a different base ten digit from 1 to 9 to satisfy the following alphametic equation.

ACID = B^F + E^F + G^F = H^F + I^F + D^F

Eight Digit Number and Summed Power Puzzle

Sun, 08 Nov 2009 01:51:23 +0000

Substitute each of the capital letters by a different base ten digit from 0 to 8 to satisfy each of the following cryptarithmetic relationships.

(I) ABCDEFGF = A^E + B^E+ C^E+ D^E+ E^E+ F^E+ G^E+ F^E
where, each of A and E is nonzero, and:

(II) ABCDEFGF does not contain the digit 1, and:

(III) Reading from left to right, nonzero even digits appear in ascending order of magnitude, but odd digits appear in descending order of magnitude in ABCDEFGF.

Fiftieth Derivative Puzzle

Sun, 08 Nov 2009 01:43:41 +0000

Let f(x) = (x+1)²*e^2x.

The fiftieth derivative f ⁽⁵⁰⁾(0) can be expressed in the form k*2ⁿ where k is an odd integer and n is a positive integer.

Find k and n.

Cats

Sun, 08 Nov 2009 01:41:49 +0000

This is a Play on Words puzzle I found elsewhere online.

There were 2 cats, an American cat and a French cat. The American cat's name was One-two-three. The French cat's name was Un-deux-trois. They were walking along, and found their path blocked by a river. There was no bridge or anything they could use as a bridge, and neither cat could swim. They deduced the only way across was to jump. One cat made it, the other didn't. Which cat made it, and how do you know?
(this should be quite easy)

and finally!

Sat, 07 Nov 2009 23:48:02 +0000

Can you write a sentence that is perfectly logical, meaningful and correct that has the word "and" repeated five times in a row?

In a Fix

Sat, 07 Nov 2009 23:44:10 +0000

how many times must i fix your mistakes?
everytime i do i swear lose some of my life!
just so you know i cant fix what's permanent
I cant go back in time you know

The Decimal Code

Sat, 07 Nov 2009 21:51:59 +0000

42.63 --- 19.95 --- 10.75 --- 5.5 --- 66.88 --- 35.15 --- 54.72 --- 50.75 --- 46.92 --- 40.8 --- 63.99 --- 90.18 --- 4.72 --- 24.36 --- 31.62 --- 46.46 --- 72.72 --- 25.45 --- 36.54

ENDDROOPACORNTHINKERSMANANDNOTYOUMORENOTSPIDERLOW

How many factors?

Sat, 07 Nov 2009 14:08:08 +0000

X is the product of p prime numbers. None of the factors of X are square (except 1). How many factors does Xⁿ have?

GET THE 'DRIFT'. ????

Sat, 07 Nov 2009 12:09:20 +0000

There really is a very good reason for one,
it keeps order with the Stars, Moon, & Sun.
Without one of these every once in a while,
Christmas in summer, July with snow piles.
This to achieve would take time to occur,
but without this it would happen for sure.

How Many Prime Numbers?

Sat, 07 Nov 2009 06:43:00 +0000

How many prime numbers
that are less than a billion
have a digit sum
that is a prime number
that is less than
the sum of the digits
of the number of factors
of a googol?

A Direction Cosine Problem

Sat, 07 Nov 2009 03:59:48 +0000

For what integral numbers a, b and c, where 0 < a < b < c < 90, is the following equation satisfied, and why?

cos²aº + cos²bº + cos²cº = 1.

Bob to the beat II

Fri, 06 Nov 2009 22:34:52 +0000

bobs at it again. Just this time instead of saving his hide he put it in jeopardy. he's been only doing half his chores, then running off and playing his computer. Bob is logical. but he forgot one thing. mom. every night, his mom comes in and makes him redo all his chores. well, moms mad. for what logical reason did Bob so risk his back side?

Probable prime number puzzle

Fri, 06 Nov 2009 21:48:39 +0000

A bag contains 10 marbles that are numbered 0 through 9. Precisely three marbles are drawn at random from the bag without replacement.

Determine the probability that a three-digit prime number (with non leading zero) can be constituted from the digits corresponding to the three marbles.

OH NO.......What have you done???

Fri, 06 Nov 2009 18:50:25 +0000

Ir tan htlo feham aedd

yae wdvn de odnwo etl

u tyh iwhe choan rll

aiutgi sn nsk lltrc !!!

This is not an anagram, nor a POW.
Just twik a bit....and you will know.

I seen that coming....

Fri, 06 Nov 2009 17:50:27 +0000

Ask your Question,
I really don't mind.
Can I tell you later?
For I know your kind.....

I am looking for a "what".....

Maximum 11-digit prime puzzle

Fri, 06 Nov 2009 17:16:14 +0000

Determine the maximum value of an 11-digit base ten prime number N (having no leading zero) with the proviso that N contains each of the digits from 0 to 9 at least once.

ROYAL CARRIERS LIKE RED?

Fri, 06 Nov 2009 14:30:00 +0000

Bring heat to me and I will contract.
And it is odd you'd think I'd expand.
Now Bigger and Smaller if used a fact.
Done with the use of both of your hands.

I am quite simple, used most every-day.
Try to use as a Gun, for fun & for-play.

A Passerby

Fri, 06 Nov 2009 06:42:42 +0000

a WAI not too bad

i could hear a lovely tailed maidens
amongst the waves
she beckoned and splashed
intense was her cry.
but i managed to pull aside
and slowly her calls faded away

On and Ever Puzzle

Fri, 06 Nov 2009 04:53:43 +0000

Substitute each of the capital letters in bold by a different base ten digit from 0 to 9 to satisfy this alphametic equation. None of the numbers can contain any leading zero.

(EVER)/(NNNNN)= (ONAND)/99999

Sororean, Nororean and Midorean Puzzle

Fri, 06 Nov 2009 04:31:25 +0000

There are 3 tribes in Hyperborea. Sororean who always speak truth, Nororean who always speak false and Midorean who speak truth and false alternately in either order.

From the statements given by A, B and C (who belong to 3 different tribes), three inhabitants from the island, identify who belongs to which tribe.

Inhabitant A:
C is Sororean.
B is Midorean.

Inhabitant B:
A is Nororean.
C is Midorean.

Inhabitant C:
A is Midorean.
I am Sororean.

Send More Money

Fri, 06 Nov 2009 04:28:49 +0000

Sorry if this has been posted before... I searched and did not find. So, here it goes.

SEND + MORE = MONEY

Each letter is a number, and the letters joined together make a larger number. Each letter is a DIGIT, not a variable.
Example: If M=1, O=3, R=7, and E=9, then MORE = 1379, not 1x3x7x9. NOTE: These MAY NOT BE THE ANSWERS!

Now, if the 4 digit number SEND was added to the 4 digit number MORE, you get a 5 digit number MONEY. Each letter is a 1 digit number from 0 to 9. The same letter is the same digit, and digits are NEVER repeated. EX: If S=2, M cannot equal 2.

Solve for each letter. S=? E=? N=? D=? M=? O=? R=? Y=?

Integer, prime and differentiability puzzle

Fri, 06 Nov 2009 04:20:32 +0000

A function F(x) is defined as:

F(x) = [n + p*sin x], for x ε (0, pi), whenever n is an integer and p is a prime number.

Determine the total number of points where F(x) is not differentiable.

Note: [x] is defined as the greatest integer ≤ x.

A list is not worthy for BrainDen

Fri, 06 Nov 2009 04:04:11 +0000

Random words?

Something
...Other Things
..Many Things
....Elsewhere
.......Big Things
.....Opposite of Nothing
.Definitely Confusing
......Yesterday and Forever
..........Totally Exists
........One Thing that You Know
...........Let's Solve this Riddle...
.............Optimistically...
.........Very Positively...
............Everyone should know the answer...

TO THE QUESTION I HAVE!

Which happens to be:

WHAT song does this list represent?