This problem based on calculation of Mean Square Error gives a detailed solution to ISI M.Stat 2019 PSB Problem 5, with a tinge of simulation and code.
This problem based on calculation of Mean Square Error gives a detailed solution to ISI M.Stat 2019 PSB Problem 5, with a tinge of simulation and code.
Try this problem from I.S.I. B.Stat TOMATO Objective Problem based on Box and ball Probability. Box and ball Probability ( B.Stat Objective Problem ) A box contains 100 balls of different colours 28 red 17 blue 21 green 10 white 12 yellow 12 black. The smallest number n such that any n balls drawn from […]
Try this problem from I.S.I. B.Stat TOMATO Objective Problem based on Inequations and conditions. Inequations and Conditions (B.Stat Objective problems) When \(x(A-x) \lt y(A-y)\) for all x,y with\(0 \lt x \lt y \lt1\), find the condition that holds Key Concepts Check the Answer Try with Hints Other useful links https://cheenta.com/gcd-and-bezout-theorem/ https://www.youtube.com/watch?v=w0Y2oXoyEEQ&t=6s Related Program Subscribe to […]
This problem based on Central Limit Theorem gives a detailed solution to ISI M.Stat 2018 PSB Problem 7, with a tinge of simulation and code.
This is a detailed solution based on Probability Theory of ISI MStat 2015 PSB Problem B5, with the prerequisites mentioned explicitly. Stay tuned for more.
This problem gives a detailed solution to ISI M.Stat 2019 PSB Problem 6, with a tinge of simulation and code. Stay tuned for more.
This problem based on Maximum Likelihood Estimation, gives a detailed solution to ISI M.Stat 2017 PSB Problem 8, with a tinge of simulation and code.
Try this beautiful problem Based on Number counting. You may use sequential hints to solve the problem.
Try this beautiful problem Based on Set Theory .You may use sequential hints to solve the problem.
The Mathematics of How Corona Virus Grow? The beautiful tale of undeterministic mathematics of chance and chaos of when they will become extinct or when they will thrive.
Try this beautiful Problem on Combinatorics from PRMO -2018.You may use sequential hints to solve the problem.
Try this beautiful Problem on triangle from AMC 10A, 2018. Problem-23. You may use sequential hints to solve the problem.
Try this beautiful Problem on Geometry on Circle from AMC 10B, 2016. Problem-20. You may use sequential hints to solve the problem.
Try this beautiful Problem on Probability from AMC 10A, 2017. Problem-18, You may use sequential hints to solve the problem.
Try this beautiful Problem on Geometry on Rectangle from AMC 10A, 2010. Problem-19. You may use sequential hints to solve the problem.
Try this beautiful Problem on Geometry on cube from AMC 10A, 2010. Problem-20. You may use sequential hints to solve the problem.
Try this beautiful Problem on Geometry from AMC 10A, 2019.Problem-13. You may use sequential hints to solve the problem.
Try this beautiful Problem on Geometry from PRMO -2018.You may use sequential hints to solve the problem.
Try this beautiful Problem on Algebra from AMC 10A, 2019. Problem-15, You may use sequential hints to solve the problem.
Try this beautiful Problem on Algebra from AMC 10A, 2019. Problem-24, You may use sequential hints to solve the problem.
Dr. Debnandini Mukherjee from NASA is joining us in a Research Seminar. She will be discussing her recent work at NASA's Marshall Space Flight Center in Huntsville Alabama, with Tyson Littenberg's group.
If you are interested in Physics or Data Science related to Physics, you are invited to join. This is a learning and networking opportunity.
She is also part of the LIGO project which went on to win the Nobel Prize in Physics.
PART - I Problem 1 In a convex polygon, the number of diagonals is 23 times the number of its sides. How many sides does it have?(a) 46(b) 49(c) 66(d) 69Answer: B Problem 2 What is the smallest real number a for which the function \(f(x)=4 x^2-12 x-5+2a\) will always be nonnegative for all real […]
PART - I Problem 1 If \(2^{x-1}+2^{x-2}+2^{x-3}=\frac{1}{16}\), find \(2^x\) (a) \(\frac{1}{14}\)(b) \(\frac{2}{3}\)(c) \(\sqrt[14]{2}\)(d) \(\sqrt[3]{4}\) Answer: A Problem 2 If the number of sides of a regular polygon is decreased from 10 to 8, by how much does the measure of each of its interior angles decrease? (a) \(30^{\circ}\)(b) \(18^{\circ}\)(c) \(15^{\circ}\)(d) \(9^{\circ}\) Answer: D Problem 3 […]
PART I Problem 1 The measures of the angles of a pentagon form an arithmetic sequence with common difference \(15^{\circ}\). Find the measure of the largest angle. (a) \(78^{\circ}\)(b) \(103^{\circ}\)(c) \(138^{\circ}\)(d) \(153^{\circ}\) Answer : C Problem 2 If \(x-y=4\) and \(x^2+y^2=5\), find the value of \(x^3-y^3\). (a) -24(b) -2(c) 2(d) 8 Answer : B Problem […]
PART I Problem 1 Find x if \(\frac{79}{125}\left(\frac{79+x}{125+x}\right)=1.\) (a) 0(b) -46(c) -200(d) -204 Answer : D Problem 2 The line \(2 x+a y=5\) passes through (-2,-1) and (1, b). What is the value of b ? (a) \(-\frac{1}{2}\)(b) \(-\frac{1}{3}\)(c) \(-\frac{1}{4}\)(d) \(-\frac{1}{6}\) Answer : B Problem 3 Let ABCD be a parallelogram. Two squares are constructed […]
High school research projects and journals that accept papers from high school students in mathematical science.
14 out of 27 students from Cheenta Academy cracked the prestigious Regional Math Olympiad. In this post, we will share some of their success stories and learning strategies.
Part I Problem 1 Let \(XZ\) be a diameter of circle \(\omega\). Let Y be a point on \(XZ\) such that \(XY=7\) and \(YZ=1\). Let W be a point on \(\omega\) such that \(WY\) is perpendicular to \(XZ\). What is the square of the length of the line segment \(WY\) ? (a) 7(b) 8(c) 10(d) […]
PART I Problem 1 Answer: A Problem 2 Answer: D Problem 3 Answer: D Problem 4 Answer: A Problem 5 Answer: D Problem 6 Answer: D Problem 7 Answer: D Problem 8 Answer: C Problem 9 Answer: B Problem 10 For positive real numbers a and b, the minimum value of\( \left18 a+\frac{1}{3 b}\right\left3 b+\frac{1}{8 […]
NMTC RAMANUJAN (grade 11 and 12) Stage I - Problems and Solutions.