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Author Archives: Alok Goyal
Puzzle #196: Bugs on a Board
Yet another very fine puzzle from A Moscow Math Circle: Week by Week Problems by Sergey Dorichenko. Each square of a 9 x 9 board has a bug sitting on it. On a signal, each bug crawls onto one of … Continue reading
Solution to Puzzle #194: Adjacent Cells on a Chessboard
I got only two correct answers for this puzzle – from Suman Saraf and Pratik Poddar – thank you both and well done! I am taking the liberty of copying the answer from Pratik – I find it to be … Continue reading
Puzzle #195: 1989!
This is a beautiful puzzle from Mathematical Circles (Russian Experience) by Dmitri Fomin, Sergey Genkin and Ilia Itenberg. There numbers 1, 2, 3, ….. , 1989 are written on a blackboard. It is permitted to erase any two of them … Continue reading
Solution to Puzzle #193: Smallville Telephones
This was a simple puzzle, and I got correct answers from many. These include Vishal Poddar, Pratik Poddar, Suman Saraf, Mahi Saraf and Anand Singhi. Well done all. The answer is “Not Possible”. This is a simple application of graph … Continue reading
Puzzle #194: Adjacent Cells On a Chessboard
This is another beauty of a puzzle from A Moscow Math Circle: Week by Week Problems by Sergey Dorichenko. The numbers from 1 to 64 have been placed in each square on a chessboard such that each number appears exactly … Continue reading
Solution to Puzzle #192: Too Many 6’s
This was a difficult manipulation of numbers, and I received 4 answers from Mahi Saraf, Anand Singhi, Pratik Poddar and Prakhar Prakash. Only two of these I found to be completely correct – from Mahi Saraf and Anad Singhi. That … Continue reading
Puzzle #193: Smallville Telephones
This is a relatively simple puzzle from Mathematical Circles by Dmitri Fomin, Sergey Genkin and Ilia Itenberg. Please do share this with your children, they should enjoy this. In Smallville, there are 15 telephones. Can they be connected by wires … Continue reading
Solution to Puzzle #191: 1×4 Rectangular Stone Plates
This was one of my favorite puzzles, though slightly difficult. Unfortunately I got only one correct answer this time, from Suman Saraf. Well done Suman! The answer is “no”. Look at the unusual coloring of the 10×10 board above. Please … Continue reading
Puzzle #192: Too Many 6’s
This is another beautiful puzzle from A Moscow Math Circle, Week by Week Problem Sets by Sergey Dorichenko. The puzzle will require some manipulation of numbers, but is very solvable and you will be happy that you did it once … Continue reading
Solution to Puzzle #190: Escalator Race
This was a tricky puzzle – I received two correct answers, one from Prakhar and another one from Suman Saraf. Thank you both! Answer is that they will reach at the same time, provided certain conditions are met, see the … Continue reading