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Tag Archives: L.A Graham
All four ailments
If 70% of the population have stomach trouble, 75% have weak eyes, 80% have liver ailment and 85% have a touch of catarrh; what percent at least are plagued with all four ailments?”
Passing Streetcars
A man walks at 3 mph down a street along which runs a streetcar line. He notices that, while 40 streetcars pass him traveling in the same direction as he walks, 60 pass him in the opposite direction. What is … Continue reading
Even number of outside doors
Posted in Combinatorics, Graph Theory, Parity, Proof, Proof by Construction
Tagged AoPS, Discrete Math, L.A Graham, Problem Solving
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Circular track opposite end problem
A and B travel around a circular track at uniform speeds in opposite directions, starting from diametrically opposite points (meaning they are directly opposite each other on the track). If they start at the same speed, meet first after B … Continue reading
Sumant's 1 page of Math 