The 53rd International Mathematical Olympiad (IMO) was held this year at Mar del Plata, Argentina. The question papers can be downloaded here. The 52nd IMO was held last year at the Netherlands. The IMO problem short-list with the solutions of that IMO can be downloaded here. The...

  Recently I found all the 22 existing ways to put 0 to 9 in the equation of a product such that each number occurs exactly once. And here they are: 5694×3=17082 6819×3=20457 6918×3=20754 8169×3=24507 9168×3=27504 3907×4=15628 7039×4=28156 9127×4=36508 5817×6=34902 3094×7=21658 4093×7=28651 9304×7=65128 9403×7=65821 594×27=16038 495×36=17820 402×39=15678 396×45=17820 715×46=32890 367×52=19084 297×54=16038 927×63=58401 345×78=26910   Also, as an extension, did the same after excluding zero: 1738×4= 6952 1963×4= 7852 483×12= 5796 297×18= 5346 198×27= 5346 157×28= 4396 186×39=...

  National Entrance Screening Test (NEST) is a compulsory test for students seeking admission to National Institute of Science Education and Research (NISER), Bhubaneswar and University of Mumbai - Department of Atomic Energy Centre for Excellence in Basic Sciences (UM-DAE CBS), Mumbai. Both NISER and UM-DAE...