This is a problem from the Regional Mathematics Olympiad, RMO 2015 Mumbai Region based on the Number of Three-digit numbers. Try to solve it. Problem: Number of Three-digit numbers Determine the number of 3 digit numbers in base 10 having at least one 5 and at most one 3. Discussion: (Suggested by Shuborno Das in […]
This is a problem from the Regional Mathematics Olympiad, RMO 2015 Mumbai Region based on Diagonal of a Quadrilateral. Try to solve it. Problem: Diagonal of a Quadrilateral Let ABCD be a convex quadrilateral with AB = a, BC = b, CD = c and DA = d. Suppose $ a^2 + b^2 + c^2 […]
This is a problem from Regional Mathematics Olympiad, RMO 2015 Chennai Region based on the Minimal value problem. Try to solve it. Problem: Minimal value problem Find the minimum value of $ \displaystyle { \frac{ ( x + \frac{1}{x} )^6 - ( x^6 + \frac{1}{x^6}) - 2}{(x+\frac{1}{x})^3 + (x^3 + \frac{1}{x^3} )} } $ and […]
This is a problem from the Regional Mathematics Olympiad, RMO 2015 Chennai Region based on a List of numbers. Problem: From the list of natural numbers 1, 2, 3, … suppose we remove all multiples of 7, all multiples of 11 and all multiples of 13. At which position in the resulting list does the number […]
This is a Rectangle Problem from RMO (Regional Mathematics Olympiad) 2015 from Chennai Region. Problem: Rectangle problem from RMO 2015 Two circles $latex \Sigma_1 &s=2 $ and $latex \Sigma_2 &s=2 $ having centers at $latex C_1 &s=2 $ and $latex C_2 &s=2 $ intersect at A and B. Let P be a point on the […]
This post contains RMO 2015 Problems and solutions from Chennai Region. Find the minimum value of $ \displaystyle { \frac{ ( x + \frac{1}{x} )^6 - ( x^6 + \frac{1}{x^6}) - 2}{(x+\frac{1}{x})^3 + (x^3 + \frac{1}{x^3} )} } $ and $ s=2$ and $ x \in \mathbb{R} $ and $ s=2 $ and $ x […]
Here, in this post, we are discussing some beautiful books for advanced Mathematics. These books are valuable for Mathematics Enthusiasts of any age. Straight Lines and Curves by Vasiliyev N. B. Vasilyev was the chief architect of Mathematical Olympiads in the Soviet Union. This gem from erstwhile Soviet Union's publication explores loci of points in […]
This post contains Regional Mathematics Olympiad, RMO 2015 Mumbai Region problems, and solutions Let ABCD be a convex quadrilateral with AB = a, BC = b, CD = c and DA = d. Suppose $ a^2 + b^2 + c^2 + d^2 = ab + bc + cd + da $ and the area of […]
The second stage examination of INMO, the Regional Mathematical Olympiad (RMO) is a three hour examination with six problems. The problems under each topic involve high level of difficulty and sophistication. West Bengal RMO 2015 Problem 6 Solution has been written for RMO preparation series. The book, Challenge and Thrill of Pre-College Mathematics is very […]
The second stage examination of INMO, the Regional Mathematical Olympiad (RMO) is a three hour examination with six problems. The problems under each topic involve high level of difficulty and sophistication. The book, Challenge and Thrill of Pre-College Mathematics is very useful for preparation of RMO. West Bengal RMO 2015 Problem 5 Solution has been written […]