An Interesting Pair of Equations
What’s so special about the number 441? (Regarding a brief discussion we had – last night) Note these…
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A Staircase Permutation Problem
Question: “Liam’s house has a staircase with 12 steps. He can go down the steps one at a…
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A Tough Geometry Problem
Question Triangle ABC has AC = BC, angle(ACB) = 96 degrees. D is a point in triangle…
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A Math Proportion Quiz Question
Question If a hen and a half can lay an egg and a half in a day and…
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Trigonometrical Proof Question
Question You have a triangle RST. Prove SinR^2 + CosR^2 = 1 given ST is perpendicular to RT….
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Set Theory Inequality: “For two events A and B show that: P(A int B) <= P(A) <= P(A U B) <= P(A)+P(B)? Here (A int B) represents A intersection B, (A U B) represents A Union B"
Answer We use the classic probability relation : P( A U B ) = P(A) + P(B) –…
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A Number Theory Problem: “How many numbers greater than 3000 can be formed from 1,2,3,4,5 without repeating any of them? How many will be even?”
Answer There are two type of numbers greater than 3000 that can be formed here namely, 4 digit…