Brain Teasers and Puzzles

Solve : A B C + D E F ------------ = G H I J ------------ where each letter stands for a different decimal [either 1, 2, 3, 4, 5, 6, 7, 8, 9 or 0] How many solutions are there with G = 1 ? How many with G = 0 ? G can not have any other value ! ` I could see 235 + 746 = 0981 and 632 + 457 = 1089 are two solutions ! Are there any more ?

My recent work on the Collatz conjecture has lead to the development of a method that allows me to merge the outputs of two functions into one function. To construct this new function, I only use the functions being joined, and elementary operations such as addition / subraction, multiplication / division, and exponents. Furthermore, I map the output of one function to odd numbers in the domain and the output of the other function to even numbers. So, the domain is restricted to integers, but the range can be whatever the functions output. This challenge is actually pretty easy, and the goal is to formulate the mathematics to join the outputs of [math]f(x)=2^x[/math] …

What is the difference between an inacceleratable object and a immovable object? By the way, the answer is not: Inaccelratable object cannot be accelerated but can be moved, vice-versa. This is somewhat similar or perhaps is the Theory of Relativity.

I will give another online game which could be interesting and challenging ! The game is perhaps quite known as we have been playing it in family circles for years. Even children can play it while it will challenge adults as well. I designate a word - a four letter verb - and I being the author is expected to be fair and not manipulate that word at my end once the game starts. The example of such words are : read , like , make etc There should be no repetition of letters allowed so no kill , meet etc - they will not be given as the challenge wprd. Everyone can participate and the first who finds that word is the winner. Generally a Good Player can solve the…

Acronyms can be useful mnemonics, but they require anagram skills. Hence the game I would like to try. This post contains the rules for round 1. Each post gives an anagram of the above word with a tolerance of 1 insertion, 1 substitution, 1 deletion, or however many deletions to reduce the content to 7 or more units. Deleted units can't be reintroduced next turn, unless that user gives permission. Duplicate letters are distinct units, and only letters count as units. If you do multiple independent words, each word must be 4+ letters. The aim is to rearrange your way to your team's word. No double posting. If a questionable word isn't accompanied…

A "simple" game that lets you collide together particles, to finally generate the higgs boson, using arrows on key board. No "Higgs" for me yet. http://milrivel.github.io/LHC/

For this challenge, I've decided to go with the parabola yet again. If we take a triangle, it is possible to find three parabolic curves that fit perfectly inside the triangle such that two vertices of the triangle are located on a parabola with two sides of the triangle being tangent to the parabola at those points. The following image illustrates this property: The above image demonstrates these parabolic curves that fit perfectly in the triangle. Of course, the equation that describes the parabolas is not a standard function and is defined parametrically. Furthermore, the order of the points matter, which determines the parabolic curve and direction along the …

This isn't really a puzzle as there is no answer but it's generated an interesting line of debate before... I have a spherical ball. It is made of plastic and it is hollow. It is also blue. Is it more blue than it is spherical?

Konigsberg city was set on both sides of the pregel river. You should cross the seven bridges once starting and ending at the same point. How ? Just take a try and find the solution for Konigsberg Seven Bridge Problem.

Continuing with our Puzzle Series .............. This is a Brain Storming Exercise ! CAN YOU SOLVE : ABC x DE = FGHIJ and find a Solution to this equation with each alphabet standing for an unique decimal digit and none equal to one another ! To explain further ... [spaces added for clarity] A B C multiplied by D E = F G H I J or A B C x D E = F G H I J where A B C is a 3 digit number D E is a 2 digit number F G H I J is a 5 digit number Each Alphabet A , B , C , D , E , F , G , H , I , J represents one of [ 0 , 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 ] and each Alphabet represents a different digit with no duplication.

3 guys want 1 room. The manager charges them 30 dollars. Each guy pays 10 dollars. After a little while the manager remembers the room is only 25 dollars and sends the bell boy 5, 1dollar bills to refund the 3 guys. Since the 5 cant be split evenly between the 3, the boy only returns 3 dollars and pockets the other 2. If each guy now has only 9 dollars invested (27), and the bellboy now has 2, (29). where is the missing dollar?

Hi All, Here is an interesting Puzzle ! ADCDE x 4 = EDCBA where A B C D E stands for a decimal symbol each [one of 0,1,2,3,4,5,6,7,8,9] Thus ADCDE and EDCBA are each a 5 digit decimal number Can you find the answer ? ABCDE x 4 ............. EDCBA ............. What is A, B, C, D, E ? ................................................................................................ For a Set of INTERESTING PUZZLES Click on url deleted And Click on ' Interesting Puzzles ' under ' Family Corner ' Good Luck for Solving them !!

Common rules for this geometric teasers. There is an initial figure (eg a circle), and there is something that should be at the end (such as a triangle in the circle). To solve the puzzles, you can only use a ruler and compass, respectively, you can build segments, circles and copy it. Nothing else There are many teasers such this, but this was very difficult for me. You should construct a tangent simultaneously to two circles so that in one circumferential line touching the top, and a second at the bottom. Please see pictures. Original: Required result:

I wondered if only one else plays with prisms, I have spent many years viewing television in 3d using two prisms, It gives me new dimensions to explore, and turns a plain 2d experience into 3d, when you master this technique you can play about with one or two prisms adding in refraction to black&white areas and different effects you pick up along the way. , One of my favourite things to view or science/cosmos programmes, New dimensions jump out at you, I now find it hard/dull to view television in any other way. Also music videos, they seem to be made for this type of viewing. I often take prisms out with me, they can bring a greater depth to almost anythi…

Watching illusions always makes me feel how much of our every day life may be full of illusions, Do we always see what we believe we see? A longer video slightly, A few interesting parts, America tricked into building over 2000 bombers after russia replayed a few bombers in a airshow going past a camera multiple times.

I saw this one in an anime. The enigmatic giant blocked the bridge and said:- What do you have to say to cross this bridge?

Some may have seen this before, but I thought it was a good one.

There are five houses with five different colors. In each house lives one person, each person has a different nationality and a distinct favorite drink, cigarette brand, and pet: 1. The owner of the yellow house smokes Dunhill cigarettes. 2. The owner of the middle house drinks milk. 3. The owner of the red house is British. 4. The man owning a horse lives next to the guy smoking Dunhill cigarettes. 5. The person in the first house is Norwegian. 6. The green house is directly left to the white house. 7. The man smoking Winfield likes beer. 8. The man smoking Marlboro lives next to a man owning a cat. 9. Th…

Hey all, I just stumbled upon this website. Lots of very interesting topics! I have a word puzzle that I am trying to get coordinates out of and I am having a whale of a time. Can anyone help me figure this out? NIZD HTMRIKH VOYFLW LIVA IVSHZW TMRIZVW MLHIZVK HFOK BIVDLOU SXMZIY MLGHPOLU HFMRN MLGHLY VOVWILX WWZ WMZOWRN MVEVH

This isn't really a puzzle, but it is more of a brain teaser. The site is : http://www.cambridgebrainsciences.com/ Sign up for an account, it is basically lumosity, but for free. I think peoples should post their high scores here, so I should start: Memory Tests: Spatial Span: 6 Monkey Ladder:8 Digit Span: 6 Paired Associates:4 (My memory is very bad, short term that is ) Reasoning Tests: Double Trouble:66 (I HATE THIS TEST!!!) Grammatical Reasoning:20 Object Reasoning:36 Odd One Out:14 Concentration Tests: Rotations: 215 Feature Match:182 Polygons:129 Planning: Hampshire Tree Task:37 Spacial Search:8 Spatial Slider: 46 …

Example1 5/3 /4|5 Example2 4/8/2|17 Example3 13/7/4|5 What are the relationship in the example? Use the relationship to solve for the missing number? ?/5/3|17

Example [latex]5+2 => 1[/latex] [latex]8+6 => 2[/latex] [latex]6+4 => 1.3[/latex] What is x in [latex]4+4 => x ?[/latex]

Hope this is new here; didn't see it scanning the category. 5 pails of water are weighed two at a time in each possible pairing producing the following list. What is the weight, in pounds, of each of the 5 pails of water? 110 lbs. 112 lbs. 113 lbs. 114 lbs. 115 lbs. 116 lbs. 117 lbs. 118 lbs. 120 lbs. 121 lbs.

If you are provided with 1 iron rod and 1 magnet rod both equal in size weight and colour then how will you find out which one is magnet and which one is iron?