This problem is a regression problem, where we use the ordinary least square methods, to estimate the parameters in a restricted case scenario. This is ISI MStat 2017 PSB Problem 7.
This problem is a regression problem, where we use the ordinary least square methods, to estimate the parameters in a restricted case scenario. This is ISI MStat 2017 PSB Problem 7.
This problem is a beautiful and elegant probability based on elementary problem on how to effectively choose the key to a lock. This gives a simulation environment to the problem 6 of ISI MStat 2017 PSB.
Try this TOMATO problem from I.S.I. B.Stat Entrance Objective Problem based on Logic True-False Reasoning. You may use sequential hints.
Try this beautiful problem based on the remainder from TOMATO useful for ISI B.Stat Entrance. You may use sequential hints to solve the problem.
This is a beautiful problem from ISI MStat 2018 problem 2, which uses the cutae little ideas of telescopic sum and partial fractions.
The solution plays with eigen values and vectors to solve this cute and easy problem in Linear Algebra from the ISI MStat 2015 problem 3.
Try this TOMATO problem from I.S.I. B.Stat Entrance Objective Problem based on Logic and Integers. You may use sequential hints to solve the problem.
This cute little problem gives us the wisdom that when we minimize two functions at single point uniquely , then their sum is also minimized at the same point. This is applied to calculate the least square estimates of two group regression from ISI MStat 2016 Problem 7.
This problem from ISI MStat 2016 is an application of the ideas of indicator and independent variables and covariance of two summative random variables.
This ISI MStat 2016 problem is an application of the ideas of tracing the trace and Eigen values of a matrix and using a cute sum of squares identity.
National Mathematics Talent Contest or NMTC is a national-level math contest held by the Association of Mathematics Teachers of India (AMTI).
Try this beautiful Problem on Trigonometry from PRMO -2018.You may use sequential hints to solve the problem.
Parity in Mathematics is a term which we use to express if a given integer is even or odd. It basically depends on the remainder when we divide a number by 2. Parity can be divided into two categories - 1. Even Parity 2. Odd Parity Even Parity : If we divide any number by 2 […]
Try this Integer Problem from Number theory from PRMO 2018, Question 16 You may use sequential hints to solve the problem.
Try this beautiful Problem on Trigonometry from PRMO -2018.You may use sequential hints to solve the problem.
Try this beautiful Problem on Trigonometry from PRMO -2018.You may use sequential hints to solve the problem.
Try this good numbers Problem from Number theory from PRMO 2018, Question 22 You may use sequential hints to solve the problem.
Try this Integer Problem from Number theory from PRMO 2018, Question 30 You may use sequential hints to solve the problem.
Try this Integer Problem from Number theory from PRMO 2018, Question 19 You may use sequential hints to solve the problem.
Try this beautiful Problem on Combinatorics from PRMO -2018.You may use sequential hints to solve the problem.
Understand the difference between real and fake math olympiads. Know more about books and learning strategies for IOQM, IMO, AMC 10, 12.
Try this Algebra challenge for Math Olympiad and ISI-CMI entrance
American Math Competition 8 (AMC 8) 2024 Problems, Solutions, Concepts and discussions.
The notion of hyperbolicity has a fascinating history. In this article, in layman's language, we understand how it connects the world of geometry and algebra.
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.