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July 23, 2021
Gaussian Prime Spiral and Its beautiful Patterns

Author: Kazi Abu Rousan Mathematics is the science of patterns, and nature exploits just about every pattern that there is. Ian Stewart Introduction If you are a math enthusiastic, then you must have seen many mysterious patterns of Prime numbers. They are really great but today, we will explore beautiful patterns of a special type […]

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July 20, 2021
ISI B.Stat B.Math 2021 Objective Paper | Problems & Solutions

In this post, you will find ISI B.Stat B.Math 2021 Objective Paper with Problems and Solutions. This is a work in progress, so the solutions and discussions will be uploaded soon. You may share your solutions in the comments below. [Work in Progress] Problem 1 The number of ways one can express $2^{2} 3^{3} 5^{5} […]

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July 19, 2021
ISI B.Stat B.Math 2021 Subjective Paper | Problems & Solutions

In this post, you will find ISI B.Stat B.Math 2021 Subjective Paper with Problems and Solutions. This is a work in progress, so the solutions and discussions will be uploaded soon. You may share your solutions in the comments below. [Work in Progress] Problem 1: There are three cities each of which has exactly the […]

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July 18, 2021
CMI Entrance 2019 Problem from Transformation Geometry

Let's discuss a problem from CMI Entrance Exam 2019 based on the Inscribed Angle Theorem or Central Angle Theorem and Transformation Geometry. The Problem: Let $A B C D$ be a parallelogram. Let 'O' be a point in its interior such that $\angle A D B+\angle D O C=180^{\circ}$. Show that $\angle O D C=\angle […]

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July 15, 2021
Rational Root Theorem Proof Explanation | Learn with Cheenta

In this post, we will be learning about the Rational Root Theorem Proof. It is a great tool from Algebra and is useful for the Math Olympiad Exams and ISI and CMI Entrance Exams. So, here is the starting point.... $a_{n} x^{n}+a_{n-1} x^{n-1}+\ldots+a_{2} x^{2}+a_{1} x+a_{0}$ This polynomial has certain properties. 1. The coefficients are all […]

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June 19, 2021
ISI Entrance TOMOTO Subjective 89 - Complex Numbers

An interesting problem based on complex numbers and their inversion. This is a Subjective Problem 89 from the Test of Mathematics Book, highly recommended for the ISI and CMI Entrance Exams. Let's check out the problem and solutions in two episodes: Useful Resources Previous Year Problems for ISI and CMI How to use invariance in […]

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June 6, 2021
How to prepare for CMI Data Science Examination?

From the path of falling in love with data and chance. to an examination ISI MStat program is different and unique. We discuss that how ISI MStat program is something more than an exam. We will also discuss how to prepare for the exam.

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May 11, 2021
ISI MStat Past Year Question & Sample Papers - Download Pdfs

We have compiled all the Pdfs of the previous year's question papers and sample papers. This is a great resource for your ISI MStat Entrance Exam Preparation. ISI MStat 2020 Question Paper Pdf ISI MStat 2019 Question Paper Pdf ISI MStat 2018 Question Paper Pdf ISI MStat 2017 Question Paper Pdf ISI MStat 2016 Question […]

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April 28, 2021
ISI MStat PSA Answer Keys and Solutions

This is the list of answer key for ISI MStat PSA Portion. Enjoy.

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April 12, 2021
Prepare for Math Kangaroo Competition with Cheenta

Math Kangaroo Competition is an International Mathematical Competition for kids of graded 1 to 12. It is also known as : "International Mathematical Kangaroo" or "Kangourou sans frontières" in French. This competition focus on the logical ability of the kids rather than their grip on learning Math formulas. Some Interesting Facts on Math Kangaroo: How […]

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August 24, 2025
NMTC - Screening Test – Ramanujan Contest 2025

Practice NMTC questions of Ramanujan 2025 and sharpen problem-solving skills and prepare for the National Mathematics Talent Contest.

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August 24, 2025
NMTC - Screening Test – KAPREKAR Contest - 2025

Practice NMTC questions of Kaprekar 2025 and sharpen problem-solving skills and prepare for the National Mathematics Talent Contest.

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August 24, 2025
BHASKARA Contest - NMTC - Screening Test – 2025

Here are the NMTC 2025 - Bhaskara Contest Questions and Solutions of the Screening Test, one of the best Mathematical Olympiads in India.

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August 24, 2025
NMTC - Screening Test – GAUSS Contest - 2025

Here is the NMTC 2025 - Gauss Contest Questions and Solutions of the Screening Test, one of the best Mathematical Olympiads in India.

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July 1, 2025
Australian Mathematics Competition - 2013 - Junior years - Grade 7 & 8 - Questions and Solutions

Try out the problems from Australian Math Competition - 2013 - Junior grade 7 and 8

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July 1, 2025
Australian Mathematics Competition - 2021 - Junior years - Grade 7 & 8 - Questions and Solutions

Try out the problems from Australian Math Competition - 2021 - Junior for Grade 7 and 8

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July 1, 2025
Australian Mathematics Competition - 2023 - Middle Primary - Grade 3 & 4 - Questions and Solutions

Try out the problems from Australian Math Competition - 2015 - Middle Primary

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June 19, 2025
Every Young Students in India Should Take the NMTC 2025

What is NMTC (National Mathematics Talent Contest)? The National Mathematics Talent Contest or NMTC is a national-level mathematics contest conducted by the Association of Mathematics Teachers of India (AMTI). Who can appear for NMTC 2025? Exam fee (2025): Rs.150/- per candidate Syllabus The syllabus of the National Mathematics Talent Contest (NMTC) is similar to the syllabus of the Mathematics Olympiad […]

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May 17, 2025
NSEJS (2020) - Problems & Solution

Problem 1 Gravitational collapse is the contraction of an astronomical object under its own gravity. This draws the matter inwards towards the centre of gravity. A neutron star is an example of the collapsed core of a giant star. A certain neutron star of radius 10 km is of mass \(1.5 M_{\odot}\). The acceleration due […]

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May 15, 2025
NSEJS [2010] Problems & Solution

Problem 1 Which one of the following statements is INCORRECT? (A) If the net force on a body is zero, its velocity is constant or zero(B) If the net force on a body is zero, its acceleration is constant and(C) If the velocity of a body is constant, its acceleration is zero(D) A body may […]

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