Puzzle Definition and 595 Threads

  1. G

    Interesting puzzle involving prediction/preemption

    I came across this puzzle a while ago and recently recalled it but couldn't come up with any solid solution/explanation. What are your thoughts? I want to choose one day, in a five day window (we'll say monday to friday), on which an event will occur. (For simplicity of interpretation and...
  2. M

    Solving a Photographic Puzzle: Comparing Heights of Images at Varying Distances

    hey, i tried the following problem and i think i got it wrong well. here is the problem and what i did. problem A photograph of a zebra is taken from a distance of 100m with a 50mm lens. A second picture is taken from a distance of 50m with the same lens. What is the ratio of the height of...
  3. I

    Calculating Attraction Between Cokes: Solve the Puzzle

    I don't know how to do this, 2 Cokes standing 35 cm from each other, Calculate the attraction to each other. One can weights 365grams. Ok I know we should use G*m1m2/r1 and I have tried that and the result becomes only wrong like this 0,365*0,365 / 0,35 =0,3806428571 * 6,67*10^-11...
  4. S

    Solving the Speedster Puzzle: Calculating Time to Catch Up

    I am stuck on this problem... A speeding motorist traveling 120 km/h passes a stationary police officer. The officer immediately begins pursuit at a constant acceleration of 10.2 km/h/s (note the mixed units). How much time will it take for the police officer to reach the speeder, assuming that...
  5. R

    Label Puzzle: Determine Bead Contents

    In one container there are two black beads, in another two white beads, and in a third there are one black and one white bead. They are labelled appropriately BB, WW, and BW. Someone moved the labels in such a way that for each container the label doesn't show its contents. Can you determine the...
  6. P

    Solving the Puzzle: Acceleration of a 50kg Block

    I'm not sure why I'm not getting this problem right. It seems pretty simple to me, but I guess there might be a trick to it? Suppose that a 50kg block slides along a horizontal surface where the coefficient of kinetic friction between the block and the surface is uk = 0.60. A force F = 400 N...
  7. DaveC426913

    Unlock the Geometry Puzzle: Minimum Pictures Needed

    A geometry puzzle: Say I want to obtain an image of an object (eg. a toy car) from every possible angle in 3-dimensions, in, say, 15 degree increments. How many pictures would I need to take? The immediate answer is 576. 1] Rotate the car around X axis through 360 degrees in 15 degree...
  8. T

    Solving System of ODEs: A Puzzle

    In order to solve this pde that I'm on, I must solve this system of odes, \frac{dx}{dt} = -y and \frac{dy}{dt} = x , which doesn't look bad, but I haven't had a second semester of ode yet where systems of differential equations are covered. How is this solved?
  9. C

    What is the solution to the MI string puzzle?

    I don't know if you have encountered this problem in Logic and Mathematics. Anyway, you may try this: You are given with an initial string of MI. Here are the rules: i) If you have a string that ends with I you can add a U ii) If you have an Mx, (i.e., an a string that starts with...
  10. T

    Can anyone solve this shape of a string puzzle?

    Can anyone solve this... "shape of a string" puzzle? Let's say there is an infinite massless and elastic string, which laid horizontally and one of the ends is extended to infinite distance. The string is "pulled" thoroughly and somehow, so that there is a tension T along it. There is a...
  11. E

    Brain-Teasing Puzzle for Engineering Majors

    Hello everyone, I was wondering if you could advise me a good puzzle I could give to my engineering-major friends, something tough that they would break their brains on :devil:. I was thinking of petals around the rose. Any other suggestions are very much welcome!
  12. Y

    Solve the Exciting Math Puzzle: 1-9, No Repetition!

    Heres an exciting number puzzle that i got from a friend of mine: >> make a combination of any of the four basic math operations (+,-,x or /) such that numbers from 1-9 is visible without repeatition. ex. 2x3=6+1=7 note: it is not necessary that the four operations could be used...
  13. A

    Can You Solve the Four Nines Puzzle?

    Hi! I have a puzzle here and was wondering if you guys could solve it. Using exactly four nines each time and no other numbers or letters, find expressions which evaluate to every integer between 0 and 132. You may put parentheses wherever you wish and uses whatever mathematical symbols...
  14. S

    What is the reworded formula for Fermat's last theorem?

    I am thinking of a famous formula related to number theory, but I have reworded it (this may not be original to me -- I don't know). Can you name the theorm: If a, b, c and n are positive integers, then a^{n}=\int_{b}^{c}n{x^{n-1}}dx has no solutions for any n > 2 . Maybe we can...
  15. D

    Why Do Plasmids Exist in Bacteria?

    I’m a little bit confused with plasmids. I understand how they work replicate and function, but I can't say why do they exist ? What is plasmid role, what is so special they do so they are worthy of existence? Almost every plasmid feature is “supported” by bacterial chromosome. Why when and...
  16. K

    Solve the A4 Sheet Folding Puzzle!

    In year 12 my maths teacher gave the class this puzzle. The idea is to fold an A4 sheet of paper, along the lines, such that the numbers are in order. Just to make it clear, the numbers don't have to be in order as you unfold it or anything, but when folded the rectangle of paper directly...
  17. P

    The hardest logical puzzle according to George Boolos

    According to the late philosopher and logician George Boolos, who was a professor at MIT, the hardest logical puzzle is one that was invented by the logician and puzzle-master Raymond Smullyan, and modified slightly by the computer scientist John McCarthy. Here is the puzzle : :cool:
  18. mattmns

    Minesweeper Puzzle: A New Challenge

    Not as interesting as the other, but I had never seen it before, until I lost to it a while ago :smile: Mainly looking at the left center. http://img280.echo.cx/img280/46/minesweepertest5ax.gif
  19. J

    Four Fours Puzzle: Get Each Integer with 4s

    This one is just for fun, I do not have the answer myself. I was reminded of it by BicycleTree's procedure. The goal is to get each integer as the result of using any of the four operations, and exponentiation, operating on four fours. For instance: 1 = 4 - 4 + 4/4 2 = 4/4 + 4/4 3 = (4 + 4...
  20. G

    Is This Minesweeper Grid Solvable Without Guessing?

    Saw this at a website.. [] [][][][] [] [] 2 2 2 2 [] [] 2 0 0 2 [] [] 2 0 0 2 [] [] 2 2 2 2 [] [] [][][][] [] See if you can figure it out without guessing and checking (derive the solution logically). Might be easier for minesweeper addicts. edit, darn the spacing is...
  21. B

    Can a line be constructed that ends in any positive integer whatsoever?

    I had this idea this morning and was going to make another "figure-out-the-sequence" out of it, until it occurred to me that it was slightly more interesting than that. Consider the following procedure: start a line with 0 2, and add on additional numbers as you please so long as the...
  22. Z

    How can you identify a defective machine with only one use of a scale?

    I am sure this one has been done a million times, but I can't figure this out. It about 10 mint producing machine and one of them is defective and produces coins that weigh 10% less than the other 9. You have a scale but you can only use it once and only once, how would you identify the...
  23. T

    Solving Puzzle of Limit of Integral: $\frac{2e^{-i\alpha x}}{1+\alpha^2}$?

    This isn't really homework for a class, but i figured this would be the most appropriate place for this question: What would this quantity be? \lim_{t \rightarrow \infty} e^{-i \alpha |x - t|} \cdot (|x -t| - 1) - \lim_{t \rightarrow - \infty} e^{-i \alpha |x - t|} \cdot (|x -t| - 1) = ...
  24. Andre

    Solve Bridge Puzzle: South Makes 6 NT

    Can I amuse anybody with a bridge puzzle? I made it some 25 years ago and it took almost a year to debug it. So if you find the solution within minutes then that’s either brilliant or you found one of the two build-in traps. The real solution looks unusual. South plays six No Trump, west...
  25. J

    Solving the Math Department Puzzle Last Semester

    This was circulating about the math department last semester and I thought some of you might enjoy it. Good luck. The solution to the following puzzle is unique; in some cases the knowledge that the solution is unique may actually give you a short-cut to finding the answer to a particular...
  26. K

    Find the Answer to the Ball's Velocity Puzzle

    please help me! I will be so happy if someone gives the answer to this question in a while. A ping pong ball of radius R and mass M is started with an initial speed Vo and a backward initial angular velocity of wo.The coefficient of kinetic friction between the ball and the table is µk.What...
  27. B

    What Do You Get When You Multiply the Next Two Numbers in This Sequence?

    Can someone help me with this math puzzle? :confused: Can anyone figure this out? :confused: If you take the next two numbers in this sequence and multiply them together, what number will you get? 594, 487, 566, 493, 310, 447, ____, ____
  28. J

    Sequence Puzzle: Can You Figure it Out?

    2,5,8,11,13,15,30,34,40,46,52,56,60,63 This was a popular one when I was younger, but I haven't heard it lately. What comes next in the sequence? This is way a trick question. Only a small percentage of people have even a chance of figuring it out.
  29. R

    How Do You Connect 9 Dots with 4 Lines?

    This is one I learned in grade school. Connect the 9 dots with only 4 straight lines and without lifting your pencil / mouse. http://img12.echo.cx/my.php?image=9dots4bl.png
  30. B

    Master the Math Puzzle: Solving Pyramids with Numbers

    I have to do this puzzle for h/w, and for some reason i just can't do it :mad: 0 1 2 3 4 5 6 7 8 9 Using the above numbers and patterns. Form the shape below by moving only 3 numbers. * * * * * * * * * * ANy Ideas. *they're pyramids by the way
  31. chronon

    Try to Arrange Squares 1-24 into 70 Side Square Pyramid Puzzle

    Following a post in the Number theory forum, I got to thinking: is it possible to arrange the squares with sides 1 to 24 into one big square of side 70. I think its probably impossible, but I've written an applet at http://www.chronon.org/applets/pyramid.html for people to try it out.
  32. A

    What Are the Numbers in the First Column of This Sudoku-Like Puzzle?

    Open attached file and Fill in numbers 1 to 9 such that no number repeats in any column or row. What are the numbers in the first column - in sequence top down? here is also a link numblock1.gif
  33. B

    Unraveling the Modular Arithmetic Puzzle

    This is another puzzle that has to do with modular arithmetic (the other one that did was Picture Puzzle). 1 1 2 1 3 2 4 1 4 5 2 3 6 1 6 4 3 9 2 8 7 5 10 What's the next row?
  34. A

    The Famous Runner and the Tortoise Puzzle

    i forget the name of the puzzle but it is somewhere in the brain teaser. there is a famus runner in a race with a tortoise. and to win he had to go after the tortoise but before that he must travel that half of the distance but before that he must travel that half of half of the distance...
  35. B

    Can you solve this picture puzzle and fill in the black areas?

    Fill in the black areas: http://img74.echo.cx/my.php?image=puzzle2yj.png
  36. T

    The easiest logic puzzle of all time

    this one is ridiculously obvious, and because of that, some people totally miss it. :smile: you have two coins, and the sum of the value of these two coins is $.15 (they are american coins. no japanese coins) if one of your coins is not a nickel, what are the value's of your coins...
  37. J

    A somewhat easier liar/truther puzzle

    As you travel from Rodnag to Gandor, you encounter a fork in the road. There is someone standing there who is either one who always lies or one who always tells the truth and you don't know which. You can point to any road and ask "Is this the road to Gandor?" as many times as you like, but that...
  38. Q

    Solve the Puzzle: Smart Seller's Trick to Avoid Mistakes

    Stupid Seller? Two men A and B go to the market to sell eggs. Each one has 30 eggs. A sells 2 for one unit(insert your own monetary unit) and B sells 3 for one unit. Just before they start to sell, A gets an urgent call from his home, he requests B to sell his stuff and goes home. B, the wise...
  39. B

    Why Does 3762 + 8271 Equal What It Does?

    :confused: Can anyone help me figure out this very hard math puzzle? :confused: 2 + 2 = 4 4 + 4 = 8 142 + 468 = 621 3762 + 8271 = ? PS. It is very confusing!
  40. G

    Why Is Notpron Considered the Hardest Puzzle Online?

    http://deathball.net/notpron/notpron.htm Supposedly, over 2 million people have visited the site and something like only 30 people have ever solved the puzzle entirely. The puzzle is ~80 pages in length and only a handful of people have ever even hit the last page. I played it for 5 min...
  41. N

    Solving the Pushy Astronaut Puzzle: Newton's Third Law

    Pushy Astronaut -------------------------------------------------------------------------------- a) An astronaut of mass 70 kg pushes off a satellite of mass 420 kg, exerting a force of 120 N for the 0.83 s they are in contact. What is the speed of the astronaut after they have separated...
  42. Y

    Solving Heat Transfer Puzzle: Cooling Steel from 452°C to 100°C

    Hey People...um this is a question i got for school...i know what was used to solve it but i can't understand how that method was used and why they did that... it says: A foundry operator finds that it takes 55.3MJ of heat to heat a 286 kg mass of an alloy steel from 22 degrees C to 452...
  43. B

    Pattern Brain Puzzle: Solve the 101110111110111101100011001110111 Mystery

    This one is probably very difficult: 101110111110111101100011001110111? What fills in the question marks?
  44. T

    Two Cyclists & a Fly: Solving a Distance Puzzle

    Two people live 20 km from each other. They start cycling towards each other with a speed of 10 km/h. A fly starts from one of them and flies to the other person and then back to the first person. It has an average speed of 15 km/h. It continues to do this until the two people meet. How far will...
  45. T

    Where Can Mr. Fubini Walk and Return to His Starting Point?

    one person, let's call him Mr. Fubini, walked south one mile, west one mile, and then back north one mile. he then looked around and noticed he was back where he started. where on the Earth is this possible? (note there is a really obvious answer honestly everyone gets in like 2 minutes, and...
  46. E

    Frog Leap Puzzle - Challenge Your Logic with This Fun Game!

    http://www.ebaumsworld.com/frogleap.html Instructions: Move the green frogs from the left to the right. Move the brown frogs from the right to the left. I once made it, but I forgot how to do it now :redface:
  47. V

    Solving the Puzzle: Calculating a Car's Speed

    a car is traveling at a uniform speed. the driver sees a milestone showing a two digit number. after traveling for one hour the driver sees another milestone with the same digits reversed. after another hour he comes across yet another yet another milestone containing the same two digits...
  48. M

    Test Your Skills with This Flash Puzzle Game

    here's a rather challenging flash puzzle game if any of you are interested... i'll post hints on it if you need help... http://www.woolythinking.com/html/darkroomIE.html?o=0o best of luck to anyone who tries
  49. G

    The Solution To The Hardest Logic Puzzle Ever

    Seems like no one got it so here it is without further adieu (sp?) http://people.ucsc.edu/~jburke/three_gods.pdf
  50. M

    A group theoretic puzzle in solid geometry

    imagine a regular dodecahedron, and its group of rotations. this group is "simple" of order 60, hence isomorphic to the group A5, of even permutations of 5 elements. i.e. each face is preserved by 5 rotations, yet can be translated to 12 different faces, hence there are 60 motions in all...
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