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May 5, 2019
Limit to Function - ISI UG 2019 Subj Problem 2

ISI BStat 2019, Subjective Problem 2 involving solving a limit to find the functional form of a function and its point of discontinuity by Sequential Hints.

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May 5, 2019
Sketching a complex set - I.S.I. Entrance 2019 Subjective Solution Problem 3

ISI Entrance 2019, Subjective Problem 3 involves sketching a set of complex numbers. We provide sequential hints that leads to solution.

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May 4, 2019
Inequality of fractions - TOMATO Subjective 12

Inequality of fractions An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size. In this post we are going to discuss a problem on inequality of fractions. Try the problem This problem is from Indian Statistical […]

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April 21, 2019
Locus of vertex of an equilateral triangle

A beautiful geometry problem from Math Olympiad program that involves locus of a moving point. Sequential hints will lead you toward solution.

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March 24, 2019
A Proof from my Book

This is proof from my book - my proof of my all-time favorite true result of nature - Pick's Theorem. This is the simplest proof I have seen without using any high pieces of machinery like Euler number as used in The Proofs from the Book. Given a simple polygon constructed on a grid of […]

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March 22, 2019
Personal Math Mentoring is live!

Advanced mathematics classes now have an add on - Cheenta students will have access to One-on-One mentoring (apart from regular group classes).

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March 13, 2019
Area of Triangle - ISI BStat 2018 Subjective Problem

Here is a problem based on the area of triangle from ISI B.Stat Subjective Entrance Exam, 2018. Sequential Hints: Step 1: Draw the DIAGRAM with necessary Information, please! This will convert the whole problem into a picture form which is much easier to deal with. Step 2: Power of a Point - Just the similarity […]

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March 13, 2019
Finding values in equation - ISI BStat 2018 Subjective Problem

The solution will be posted in a sequential hint based format. You have to verify the steps of hints. Sequential Hints: Step 1: Solution set of sin(\(\frac{x+y}{2}\)) = 0 is {\({x + y = 2n\pi : n \in \mathbb{N}}\)} - A set of parallel straight lines. Step 2: Solution set of |x| + |y| = […]

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March 5, 2019
A Math Conversation - I

Inspired by the book of Precalculus written in a dialogue format by L.V.Tarasov, I also wanted to express myself in a similar fashion when I found that the process of teaching and sharing knowledge in an easy way is nothing but the output of a lucid conversation between a student and a teacher inside the […]

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March 5, 2019
The 3n+1 Problem | Learn Collatz Conjecture

The 3n+1 Problem is known as Collatz Conjecture. Consider the following operation on an arbitrary positive integer: If the number is even, divide it by two. If the number is odd, triple it and add one. The conjecture is that no matter what value of the starting number, the sequence will always reach 1. Observe […]

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June 21, 2020
Number of ways of arrangement | PRMO 2017 | Question 10

Try this beautiful problem from the Pre-RMO, 2017 based on Number of ways of arrangement. You may use sequential hints to solve the problem.

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June 21, 2020
Roots and coefficients of equations | PRMO 2017 | Question 4

Try this beautiful problem from the Pre-RMO, 2017 based on Roots and coefficients of equations. You may use sequential hints to solve the problem.

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June 20, 2020
Real Numbers and Integers | PRMO 2017 | Question 2

Try this beautiful problem from the Pre-RMO, 2017 based on Real Numbers and Integers. You may use sequential hints to solve the problem.

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June 20, 2020
Roots of Equation | PRMO 2017 | Question 19

Try this beautiful problem from the Pre-RMO, 2017 based on Roots of Equation. You may use sequential hints to solve the problem.

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June 19, 2020
Area of Triangle | AMC 10A, 2006 | Problem 21

Try this beautiful problem from Geometry: Circle from AMC-10A (2006) You may use sequential hints to solve the problem.

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June 19, 2020
Problem on Cube | AMC 10A, 2008 | Problem 21

Try this beautiful problem from Geometry:Squarefrom AMC-10A (2008) You may use sequential hints to solve the problem.

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June 19, 2020
Television Problem | AMC 10A, 2008 | Problem 14

Try this beautiful problem from Geometry:Squarefrom AMC-10A (2008) You may use sequential hints to solve the problem.

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June 18, 2020
Centroid Problem: Ratio of the areas of two Triangles

Try this beautiful problem from Geometry based on Centroid. You may use sequential hints to solve the problem

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June 18, 2020
Circle Problem | AMC 10A, 2006 | Problem 23

Try this beautiful problem from Geometry: Circle from AMC-10A (2006) You may use sequential hints to solve the problem.

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June 17, 2020
Triangle Problem | AMC 10B, 2013 | Problem 16

Try this beautiful problem from Geometry - AMC-10 B (2013), Problem-16 based triangle. You may use sequential hints to solve the problem.

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