View Full Version : Brain Teasers
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- Brain Teaser #47
- Brain Teaser #48
- Brain Teaser #49
- Brain Teaser #50
- Logic puzzle
- Brain Teaser #51
- Brain Teaser #52
- Brian Teaser #53
- Brain Teaser #54
- Brain Teaser #45
- Einstein's Intelligence Quiz ?
- Brain Teaser #56
- Brain Teaser #57
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- Brain Teaser #76
- Brain Teaser #77
- Brain Teaser #78
- Brain Teaser #79
- Brain Teaser #80
- Brain Teaser #81
- Brain Teasers Open to All
- Brain Teaser #82
- Brain Teaser #83 (and I promise there is only one right answer)
- Brain Teaser #84
- reTurn the time
- reTurn Time - 2
- Brain Teaser #87
- reTurn Time - 3
- Brain Teaser #89
- Help needed on a brainteaser
- Brain Teaser #90
- Brain Teaser #91
- Brain Teaser #92
- Brain Teaser #93
- Brain Teaser #94
- simple code
- lying about truth
- riddle
- Brain Teaser #98
- Hats Off to the Ministers
- new riddle
- Quickie
- Brian Teaser++++++++
- a wolf, a goat and cabbage
- riddle
- Triangle Puzzle
- d[x[sup]2[/sup]]/dx = x
- Impish Sprite
- Rope clocks
- Late for school?
- Math related riddle!!!
- Digging to China
- beer story
- Shock absorber
- what came first?
- Canned Hams - quickie
- Paint mixing
- 5 Star Logic Problem (100 prisoners and a light bulb)
- Kind of Riddle
- Help
- tiles
- Color of Bear Puzzle
- Searching for a non-negative integer...
- Black's last move?
- Hats
- $60,000.00 question
- Crossing the desert (in a steam powered car)
- Drawing a path
- Scouts
- Flowers (hope this one lasts a bit longer)
- R = PI Ohms
- Row, Row, Row your boat...
- Petals Around The Roses
- I live just over a star, and yet I do not burn
- What can you share yet still have all for yourself
- Quickie
- Strange words...
- How old are they?
- total distance
- check or bet
- more strange words
- riddle poem
- Who owns the fish?
- Medication problem
- next door neighbours
- the door story
- fake coin
- fake coin #2
- Box Clever
- More Dice
- Philosophical Beliefs
- Read the mixed up words
- A rolling problem
- What does a soda cost?
- Logic Problem – test your logic
- center of mass
- A Geometry challenge
- Last geometry challenge (very difficult)
- Going off on a tangent.....
- brownies
- Slice the Donut
- Two Cubes in 3d
- Two old men....
- 1+1= ?
- Teasing your brain
- Riddles!
- From D to M, how far and what way
- Math Problem
- Infinite Ladder Network
- Coloured Hats
- Three-Dimensional Resistance
- Bridge Circuit
- truth teller vs liar : go to Hell !
- I lost my calculator batteries in a flood.....
- blind man
- cultural groups
- handshakes
- Forty 1lb Weights
- beans
- Simple number game
- Balls in boxes ( probability )
- Nine Digit Numbers
- Doobie weigher
- expert puzzle
- Ten Digit Numbers
- 12 red snooker balls
- Crack the code!
- the product
- Hydrogen Room
- Sister probability
- 5th grade brain teaser
- [SOLVED] Two fat guys
- Fox sheep cabbage - mind emotions body
- Feilds on the edge of town
- pyramids
- tricky lockers...
- How old are my daughters?
- Parenthize
- Google Labs Aptitude Test
- a wicked master
- High-voltage!
- Light Switches
- Fox, Sheep, Cabbage problem - revisited
- Another Site's Questions
- Five Rooms puzzle
- Temperature of Iron.
- Two beers
- Professor's Lab
- Signboard injury
- Professor
- Unsolved Equation
- Creative (lateral) thinking to solve a complex problem
- No Peeking!
- What is this ?
- large number...
- Matching game
- box thing
- What is the time?
- find P
- wanna brain teasers?
- Brain Teasers Help
- where is the 2 bucks?
- Five and One
- Good riddle, How do you get off the island?
- The PF Treasure Hunt
- Age of the ship?
- Treasure Hunt Solutions
- camel and fig
- who's the spy?
- biggest number
- class
- shortest path
- easy problem
- Motion of Particle in a Magnetic Field
- Neverneverland and the three old men
- Fun little riddle
- How Old Are the Three Sons?
- Easy teaser. Well, its not really teasing then is it???
- Hunting ducks. Not too hard.
- -1 = 1
- Cut up the star
- Funny Riddle
- can your brain handle this 2?
- Logical Question
- Math Problem
- A problem of lint
- The illiterate art critic
- Number Theory
- "Cuckoss's Egg" sequence, next number?
- Geometry problem
- 64 Squares
- permutation groups
- Mile hill
- Infinite array of resistors
- Brain teaser.
- Bridge over troubled waters
- Yes, all the information needed is there
- if 3 cats eat 3 mice in 3 minutes; how many cats for 100 mice in 100 minutes?
- the difference between a chicken
- This Statement Is False
- Trebuchet anyone?
- Flying weight change
- time dilation
- how bright?
- Digital Pedometer for energy expended in exercise
- Pocket Calculator
- This is Not Pron
- A 3-D collision
- Need help with this puzzle...
- German Logic
- Missing digit
- Floating
- pills
- Fairly easy brain teaser
- Scientists don't have the answer...
- As I was going to St. Ives
- My corny brain teaser 2
- Something a little different
- tunnel through the centre
- Why do race cars use wide tires?
- 2=1
- Smargest number
- Code
- Take me to your leader
- How high can you count on fingers and toes?
- 101 from 3, 4, 8 and 9
- Physics Teasers : Part 1
- Equator and Polar Clocks
- It's good for you
- Ten Sheep
- Win A Dollar!!!
- how old are my 3 children?
- lockers
- Piss Bottle
- 7-11
- Help!!!
- I want to ride my bicycle
- Magic square
- Simple Math...
- How does it turn?
- Inertia
- The Dark Room
- Hair of the Dog
- A cow dance
- riddle
- Practice your LATEX skills!!!!!
- Can you solve this riddle?
- happy numbers
- Prove this!
- sum of series???
- let ur mind work
- hot coffee!!
- can you explain this?
- what is it?
- Come play IF you Dare!!!
- reducing 1 million to 7
- Come play If u Dare !!!
- Magic camera
- Einstein's riddle
- What is the mystery item?
- Which travels fastest?
- logical thought
- Math/drinking teaser
- Trig.quiz
- almost infinity
- Arithmetical teaser
- Hmuan Mnid-Paomnnehel Pweor
- El Cheapo Number Game
- make 21
- what comes next?
- Huygens & non-orbital re-entry speed
- n-dimensional trianglehedron?
- Infinite possibilities
- Lightbulbs!
- Slipping stick
- Triangle with extra area???
- Family Members
- Spheres
- Stepping paths
- How is it possible ?
- Stepping paths II
- Cat and mouse
- More cat and mouse
- Number Sequence
- The Hardest Logic/puzzle Question Of All Time!
- Money Machines
- weird pattern on car
- Extremely cool IQ test
- coin weighing problem (ibm)
- Puzzler
- prove!!!
- Sexy underwear worn by PF Sisterhood.
- Speed Dating the PF Sisterhood
- Counting paths
- Where the hell is Gokul?
- Handshakes
- The Solution To The Hardest Logic Puzzle Ever!
- When rotten PF members were rotten PF kids
- What next?
- Petals Around the Rose.
- the dark room
- Chess puzzle
- speeding car
- Without using a calculator
- Not an exact brain teaser, but..
- Happy Math
- Sequence
- find x
- Man Vs Bus
- Twins
- hanging over the edge
- PLz help me in this Corner Reflector Problem
- Eot-Cat-Cit
- Plz help me in this light problem
- a truel (part 1)
- Who am I?
- Anyone know good math games?
- in term of
- find ef
- tower of hanoi
- Triangle paradox
- What animal and elephants?
- Frogleap
- Mental arithmetic
- Mr. Fubini
- shoes
- Puzzle game
- Liquid
- round table
- rainy day
- tria
- Hong Shui
- Need some Free Flash Math Puzzles
- Trains
- Arithmethic
- find x
- Pearls before swine
- Difficult "IQ" test
- The Bear
- World's easiest quiz
- Land
- Relativity Rabbit
- A Riddle
- Stairs.
- King and his knight
- Pirates
- Camera Mystery
- Flight distance
- Getting out
- Try to find out what this is :
- Pattern
- Worlds
- Spiders
- Sequence
- Binary Sequence
- The dog jumped over the fence? Polysemys
- You are cordially invited to match wits with some of the best minds in IBM Research.
- Cursive letters
- Hardest puzzle on the internet
- pattern
- Brainteasers....
- Picutre Puzzles.
- 3 light bulbs 3 switches
- Night of the living straight edge!
- Nuber problem
- More this is not pron
- If you ever said any of these, think twice
- Paparidox
- Quick and witty!
- Fly in a car
- What will be the resistance
- time
- integration x^-1
- Knowledge Horizon Contest
- infinity
- HELP...I Can't Figure Out These Number Patterns
- Sum of diagonals
- [SOLVED] The Bear and the Food
- Dichotomy
- Math limerick
- Math limerick
- old brain teaser....
- An age-old problem
- egg dancing (or something)
- Stupid Seller???
- Numeric Nonsense
- hand shaking (again)
- An important part of the boat
- teaching
- who am I?
- The method
- Helpppppppppppppppp!
- Complete the Array Series
- Pattern
- Math professor and number of rooms
- Painting the plane
- sqrt
- Unusually common dice
- fake coins
- hardest logic problem ever
- A somewhat easier liar/truther puzzle
- the easiest logic puzzle of all time
- hard logic problem
- Quick Little Word Teaser
- Fisher's riddle.
- Cannibal Logic
- This one may be easier than cannibal logic
- Adequately showered?
- who am i?
- alone in the dark
- Numbers - Confused Yet?
- Missing Dollar
- Picture puzzle
- Last Wish
- Multiplying by 2
- boggle your mind
- A small problem
- Another pattern
- Easy logical number puzzle
- Chess problem: White to mate in 2
- Square Pyramid puzzle
- Next Number
- Yet Another Pattern?
- Murder Mystery
- Squared Pattern
- Puzzles at the MathCad website
- Help Please!!
- Riddle
- Another riddle
- Help really really really needed!
- The GREAT thread of riddleness!!!
- triangle
- Would you jump off too?
- Ticket writing protocol.
- Universal Sequence
- Somewhat Simple Pattern
- Why No Explosion?
- Need good riddles!
- 142[999]857
- Nine Dots
- Navigation Problem
- Trick question
- Sequence
- big commute
- Cheaper by the dozen
- inspector Colombo
- Tiling problem
- Bisect a plane figure.
- Sharing Tuskers
- A Logic Puzzle
- A Bridge Puzzle
- Missing person illusion
- another number pattern
- yet another number pattern
- Petals around the Rose
- factors
- Need solution to this puzzle
- trademark
- Poison bottles
- Procedure
- Minesweeper puzzle
- Einstein, the farmer and the cows
- 6-inch bar
- Three bulbs.
- Four fours
- Mysterious
- Sliding Blocks
- The Lift Problem
- Minesweeper puzzle
- substrings and superstrings
- faulty balls
- faulty coins
- Simple puzzle
- Sequence
- Car game
- sense
- The hardest logical puzzle according to George Boolos
- Statistical Geometry
- Number Patterns!
- Geometry Puzzle
- Microsoft interview questions
- Grade 2 Puzzle
- Get them across the river...
- the power of 7
- Elliptical Constant
- Fibonacci sequence
- 1, 2, 3, 4, 5, 6, 7, 8
- A sequence of sorts...
- Four Nines Puzzle
- Movie Tickets
- 12 objects and only three experiments
- Two person with the same number of friends?
- Does anyone know this question ??
- Save 10 prisoners
- basic problem
- square roots
- Corey the camel
- Pity Man need help....
- hay... magic.
- Square root of 3?
- TRAIN Driver.
- puzzle idea
- Mirror
- how'd he know there was sh.it on his head?
- Another river problem..
- Bear
- 12:34
- In a certain country
- Cannibals
- Logic Lovers
- The ole 12 snooker ball question (and my job!)
- space ship collision
- Metric System Story
- MI String
- Barber's paradox
- camera angles
- 5-suit Texas Hold 'Em: ace high beats one pair
- beads puzzle
- help
- Another Sequence...
- advantage of both.
- Algorithm ponderer
- Mr Explorers treasure hunt
- Help these poor little frogs!
- Race between Bon Jovi and Kurt Kobain
- switches-lightbulbs
- primes
- Two daughters in rivalry
- Interesting puzzle involving prediction/preemption
- Can't figure this one out
- Never seen on the web
- Next Number?
- where's the fish?
- Su Doku
- count the letters
- familiar numbers puzzle
- Confounding handshaking puzzle
- Need some help with a murder mystery
- Four 4s
- Does God have tile floors?
- Pythagorean triangles
- Orbital Puzzler
- axes
- Where's the change?
- I was feeling a bit clever
- I am the only one here
- my 1st puzzle post
- my 2nd puzzle post -sequence
- Three 3's
- Einstein's Riddle
- pattern possible?
- deductive logic problem
- Anyone good at cryptology?
- Ths wrd hs n vwls
- Color for hidden text
- really challenging puzzle
- Poker Chip Puzzle...
- Cryptogram...
- Simple Formal Logic Riddle
- A little Contest... Show me something that is Absolutlly Useless
- encryption
- 12 coins
- Mod-x
- The sky is falling down on me
- The Blind Mathematician
- Brain Teaser with Answer Unknown
- Probability Oddiments
- Chess Bain Teaser
- 12 coins, and one counterfeit.
- dividing space with 5 planes
- N 4's - Redux
- The ants go marching....
- Can you break it !! i bet u cant !
- Flash Mind Reader
- zio (india) problem i don't know how to solve such problems
- Word Challenge
- tattoo teaser
- divergence of the harmonic series
- Next Number in the Sequence.
- "Hardest internet enigma"
- Two more sequences
- Weighing the balls
- 3rd puzzle post
- 4th puzzle post
- decrypt this
- 5th puzzle post-the impossible sequence
- Yet another sequence
- I'd had grammar lessons by then
- Grammar Lesson #2
- Something easy.
- Simple, but fun
- A Puzzler
- Dr. Watson and German secret Club
- Permutation derivation?
- What is the 5 numbers?
- The solid angle of coffee
- What #?
- 4 doors to hell riddle
- Machine VS Human
- "Lost" (TV Show) Equations
- Brain Teasers and Math Problems
- Divisibility
- Liars and Truth Tellers
- New Da-Vinci-Code-movie puzzle, by Google
- A real big toughie. Takes some time.
- fun finding i just found
- Connect the dots
- Shollenbarger's Clock
- Some brain teasers~~~~Plz look and try....
- Needed: More brain teasers
- a word riddle
- Prisoner's Dilemma
- websites
- Decoding/Decrypting sheet music
- Brains=$$$
- Please don't email me anymore. I just can't take it
- I've made a few mistakes in my day
- Need Fast Help
- Prove this!(fun proof)
- I'm new and need HELP
- A ringing headache
- Still needing HELP..but should have posted this
- probability
- absent minded clerk
- Prisoner's Choices
- BRAIN TEASER PROBLEM! Please help me!
- Deductive Reasoning Q?
- Go figure - check this out
- Another Boat Question. Need help though!
- Really hard Brain teaser I need help with.
- Ubi-Ubi's Ruby
- anybody preparing for multiple question choice exam try this!
- Math Teaser!!
- A Division Puzzle
- An Examination Puzzle
- Some new cookies started appearing in The Bakery very recently.
- IQ Test Questions
- Really Tough/Fun Brain Teaser
- einstein quiz
- Physics Quiz of the Year
- No Peeking
- Slightly harder
- Circle's brain teaser challenge
- Superdokey
- Circle's slightly harder challenge
- Albert Einstein's Riddle...
- Really good brain teaser site
- Gun Problem
- cum'on try thiZzzzzz.....!! :)
- A question....!
- Apputten mangoes in a box and you savithree ok?
- Who's that?
- Find it why!
- True or false?
- Old Man & Wrinkle
- 1st Day at school
- Pyramid of Egypt
- Grandpa's age
- Pizza deal
- Fill it up!
- The pole in a lake!!
- Who got a brainteasers book for Christmas... ?
- Painting job
- Brain Teasers Q&A Game
- doctors...
- Top Spin!
- Tricky Questions!!!
- Room on Stilts
- Sequence
- Break the code
- Fill the word ,game.....
- A couple of puzzles
- flipping the M
- Two Vowel Puzzles
- A Space And Time Puzzle
- Lateral Problems
- Riddle Time!
- Terminate This If You Can!
- Lateral thinking puzzles.
- Hidden Text, People!
- An Orange Consumption Problem
- Poison Bottles
- Bad Coin
- A monk problem
- A Chessboard Puzzle
- A Dinner Puzzle
- this is a hard code to crack
- pretty hard (yet simple) puzzle
- Brackets
- Trigonometry "puzzle"
- A semi-tough question I came accross
- Where is the father?
- Ken ju andrstend dis?
- A Color problem.
- A tribute to demystifyer
- Piece of cake
- next number in a sequence
- weighing marbles
- what color hat do you have on ?
- Age of kids
- Professor's game
- An Integer Temperature Puzzle
- A Handshake Problem
- What Colour is your Hat?
- hidden code
- Mirror on the Wall...
- i invented a card game based on the 'wheel'
- Interesting Maths Puzzle
- In which scenario is this possible?
- Averagely difficult brain teaser
- Cryptanalysis
- Good riddles
- What row comes next?
- Location, location, location.
- 15 minutes per minute
- 3 rooms 3 bulbs
- Complicated Brain Buster!
- Weighing bags
- Getting max points on a grid
- how'd they figure that? (logic puzzle)
- strange combinatorics
- Weighing Puzzle
- Funny Brain Teaser
- Can a cube be cut in 27 smaller cubes in less than 6 cuts?
- Batman, Robin and Catwoman
- A Circle And Adjacent Number Puzzle
- Dominoes on a Checkerboard
- .:Deserted island:.
- How many children
- Tricky Track
- Topology riddle
- Troll Bridge
- Secuence and series
- Two Riddles
- Thermonuclear device to destroy hurricanes
- 8 balls, 2 weighings
- Weight of a plane
- 2x2, 5x5, and Gordians Knot
- Quantum Cat
- Paradox?
- Heaven or Hell?
- Microsoft Interview Brain Ache
- Brain Teaser - Scratch!
- More crazy, but logical, people ...
- iq 130+ simple but confusing brain teaser.
- cube partition
- Riddle
- Visual Brain Teasers Thread
- Can you solve this?
- good math riddles
- Interesting...
- multiply
- letter equations! ie- 7 D of the W = days week
- Mirrors...
- Burn ropes
- Don't burn these ropes
- Can you solve
- a Martin Gardner problem
- Simplest way to pay debts
- Card Game: 24
- Find The Missing Number
- Figure this!
- Help me solve this!!!
- [SOLVED] analogue and digital question (really urgent!)
- The light bulb.
- Dogsmead?
- Ship
- The Most Creative Response...
- Help please - DOG THE
- Can you help me solve these sequences
- what do these have in common
- 12 balls
- Riddle Competition Help
- got another one
- Riddle. This is really hard. Have fun!
- Add the numbers from 1 to 100
- thinking outside the clox
- am i right
- thinking out of the cat's box
- Math/ Economic brain teaser - due to the credit crisis
- Why is clockwise clockwise?
- Untangle
- A more extended and much much more challenging version of Einstein's puzzle
- An extended and much much more challenging version of Einstein's puzzle
- Diagonal Garden Path
- Riddle Quiz
- [Help!] Strange vague puzzle
- Geometry puzzle: plane X cylinder = ellipse
- Interesting hidden message
- Can you solve this sequence?
- Interesting and challenging IQ questions
- Coin weightings with two irregular coins
- [SOLVED] Funny Money Problem
- Science Challenge: Prove these magnets won't move
- An ant on a cube
- Math Brain Teaser
- Grumpy and Friends
- National Bureau of Standards, 3 GEE Cal test
- puzzle on shapes
- Boy Girl Paradox
- Another ant riddle
- names. ideas yea?
- 3rd grade ?
- In theory, this should be easy....
- What is the next number in the sequence?
- Fun Brainteaser
- (Not a text brainteaser) Speed Solving the Rubik's Cube
- The Face Game
- Simple Proof
- Ducks and Chickens
- Probability Question
- *Test Your Logical Skills*
- Next number: 61, 115, 771, 4129, 15649, ?...
- An Average Speed Paradox
- The Chinese Remainder Theorem (the CRT)
- IQ like pattern question
- Lockers
- :( Help!
- Grandpa and Grandma age?
- Can You See The Patterns..?
- Another political discussion
- Tossing a coin... 3 times ?
- Ten Digits And Operator Puzzle
- light bulbs
- Ascending Decimal Digit Puzzle
- circles and spheres
- A three digit number and reversal puzzle
- Balls puzzle.
- where can i find forum that solve these kind of questions..
- logical question..
- logical question..
- a puzzle
- a logical question..
- a logical question..
- a logical question..
- a question about strategy thinking this logical questions
- A flight around the world
- 12 coins and a balance beam scale
- a logical question..
- a logical question..
- a logical question..
- a biblical riddle..
- a logical question..
- 10 dwarves and a giant.
- a logical question..
- Long division with zero to nine substitution
- Zeta regularization riddle
- A question of latitude.
- i use another nick some_one=transgalactic
- a logical question..
- Brain Teaser!
- a logical question i tried to solve using VEN
- Four Clocks Problem
- Manage rectangular cloth for square table
- Way to Heaven
- Find population
- Country List
- Identify the balls
- Ship and rope problem
- how to make a glass out of a bottle
- Paint Can Problem
- Just for today.
- a logical question..
- Which coin is fake?
- ?? 45 minutes exactly ??
- Bertrand's Box Paradox and Monty Hall Problem
- a logical question..
- Opinions on Thinking Physics
- Getting progressive with arithmetic, geometric and harmonic
- Perimeter and radius
- King's Dungeon
- Cryptarithm And Integral Problem
- Acceleration
- Square BAE, Get ABCADE
- Divide by one thousand and equate the ratios
- Numbers in Triangle Rows of 3 are equal rows of 4 are equal
- Pirates Dividing Loot Question- NEW
- (4-digit number)*(6-digit number) equals a factorial
- Sum the squares cryptarithmetically, get square
- Crack this code if you can* Challenging
- What cometh next in the sequence?
- I can name that physicist in 5 notes.
- The Lamplighter's Manor
- Online professional IQ test?
- take fives And Sixes, Get N
- Playing Checkers 4 your life?
- Some Summed Digits In A 9-Digit Positive Integer
- Decimal and nondecimal almost perfect squares of the form aaabbb
- Summed exponents for a 8- digit positive decimal integer
- Four IQ test problems
- The first positive integer that cannot be specified in less than a billion words
- Next number in sequence-game
- One more number sequence
- subtract from 50
- Opening and closing doors
- New IQ test
- Edges in 11D Hypercube
- Riddle of the links
- Cut a cake
- No-one knows the answer to the tenth question ('cept me)
- Answer this if you know your physics?
- Can you sum the parts within ten seconds?
- Another Sequence
- Brain teaser Christmas gift
- Three brothers - two vehicles
- 9-level Tower of Hanoi variant
- Walking home from station
- Multiplying six by two gets twelve
- Getting the multiplier, multiplicand and the product with U’s
- (abcd)*(efghi) = acgefhibd
- Octahedron problem
- Semiconductor or conductor
- Multiplying two by two gets a square
- Telling the Will
- One-ninths of seven gets 7/9.
- Getting perfect squares with four cryptarithmetic numerals
- Divide each one digit number by product, and add to get 1
- Divide by one digit numbers by two digit numbers, and add to get 1
- brain teaser
- Riddle-d'Do
- Wrap around Tic-Tac-Toe
- How many triangles?
- Nice brain teaser
- How does that work then
- The 9 dot puzzle.
- riddle
- An annoying voltage question
- Ten prime numbers describing an arithmetic sequence
- 2 missing number riddles
- Shortest time in which P catches Q
- Prove ∑ … = (2^n-1)n!
- Riddle me this:
- Dwelling upon the triangular numbers
- Decimal integers with nonzero digits and sum of powers puzzle
- A dopey resistance question.
- Looking for story riddles/brainteasers
- Getting the maximum and the minimum with now
- A Prince and Five Puzzle
- Simple math question.
- thine/ evenly = 2/15
- this/ close = 5/12
- judge and criminal
- Seven digit base eight positive integer puzzle
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- Number Sequence
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- How Many Girls for Every Boy?
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- Recreational Math
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- Game of bridge
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- A Tough Logical Puzzle- Requires Utilization of Mathematical Algorithms
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