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May 6, 2014
ISI Entrance 2007 - B.Math Subjective Paper| Problems & Solutions

Here, you will find all the questions of ISI Entrance Paper 2007 from Indian Statistical Institute's B. Math Entrance. You will also get the solutions soon of all the previous year problems. Problem 1: Let $n$ be a positive integer . If $n$ has odd number of divisors ( other than $1$ and $n$ ) […]

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May 6, 2014
ISI Entrance 2006 - B.Math Subjective Paper| Problems & Solutions

Here, you will find all the questions of ISI Entrance Paper 2006 from Indian Statistical Institute's B. Math Entrance. You will also get the solutions soon of all the previous year problems. Problem 1: Bishops on a chessboard move along the diagonals ( that is, on lines parallel to the two main diagonals). Prove that […]

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May 6, 2014
ISI B.Math 2005 Subjective Paper| Problems & Solutions

Here, you will find all the questions of ISI Entrance Paper 2005 from the Indian Statistical Institute's B.Math Entrance. You will also get the solutions soon to all the previous year's problems. Problem 1 : For any \( k \in\mathbb{Z}^+ \) , prove that:-$$ \displaystyle{ 2(\sqrt{k+1}-\sqrt{k})<\frac{1}{\sqrt{k}}<\\2(\sqrt{k}-\sqrt{k-1})}$$Also compute integral part of \(\displaystyle{\frac{1}{\sqrt{2}}+\frac{1}{\sqrt{3}}+...+\frac{1}{\sqrt{10000}}}\). Problem 2 :  Let […]

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May 4, 2014
TOMATO Objective 44

Try this problem from Test of Mathematics, TOMATO Objective problem number 44, useful for ISI B.Stat and B.Math. Problem: TOMATO Objective 44 Suppose that $\mathbf{ x_1 , \cdots , x_n}$ (n> 2) are real numbers such that x $\mathbf{x_i = -x_{n-i+1}}$ for $\mathbf{1\le i \le n}$ . Consider the sum $\mathbf{ S = \sum \sum […]

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May 4, 2014
ISI B.Stat Paper 2010 Subjective| Problems & Solutions

Here, you will find all the questions of ISI Entrance Paper 2010 from Indian Statistical Institute's B.Stat Entrance. You will also get the solutions soon of all the previous year problems. Problem 1: Let $\mathbf{a_1,a_2,\cdots, a_n }$ and $\mathbf{ b_1,b_2,\cdots, b_n }$ be two permutations of the numbers $\mathbf{1,2,\cdots, n }$. Show that $ {\sum_{i=1}^n […]

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May 4, 2014
ISI B.Stat Paper 2009 Subjective| Problems & Solutions

Here, you will find all the questions of ISI Entrance Paper 2009 from Indian Statistical Institute's B.Stat Entrance. You will also get the solutions soon of all the previous year problems. Problem 1: Two train lines intersect each other at a junction at an acute angle $ \mathbf{\theta}$. A train is passing along one of […]

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May 4, 2014
ISI B.Stat 2008 Subjective Paper| Problems & Solutions

Here, you will find all the questions of ISI Entrance Paper 2008 from Indian Statistical Institute's B.Stat Entrance. You will also get the solutions soon of all the previous year problems. Problem 1: Of all triangles with given perimeter, find the triangle with the maximum area. Justify your answer Problem 2: A $40$ feet high […]

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May 4, 2014
ISI B.Stat 2007 Subjective Paper | Problems & Solutions

Here, you will find all the questions of ISI Entrance Paper 2007 from Indian Statistical Institute's B.Stat Entrance. You will also get the solutions soon of all the previous year problems. Problem 1: Suppose \(a\) is a complex number such that \( { a^2+a+\frac{1}{a}+\frac{1}{a^2}+1=0 }\) If \(m\) is a positive integer, find the value of […]

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May 4, 2014
ISI Entrance 2006 - B.Stat Subjective Paper| Problems & Solutions

Here, you will find all the questions of ISI Entrance Paper 2006 from Indian Statistical Institute's B. Stat Entrance. You will also get the solutions soon of all the previous year problems. Problem1 : If the normal to the curve \(\displaystyle{ x^{\frac{2}{3}}+y^{\frac23}=a^{\frac23} }\) at some point makes an angle \(\displaystyle{\theta}\) with the \(X\)-axis, show that […]

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May 2, 2014
ISI B.Stat 2005 Subjective Paper| Problems & Solutions

Here, you will find all the questions of ISI Entrance Paper 2005 from Indian Statistical Institute's B.Stat Entrance. You will also get the solutions soon of all the previous year problems. Problem 1: Let \( a,b \) and \( c \) be the sides of a right angled triangle. Let \( \displaystyle{\theta } \) be […]

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April 24, 2020
Pattern Problem | AMC-10A, 2003 | Problem 23

Try this beautiful problem from Pattern based on Triangle from AMC-10A, 2003. You may use sequential hints to solve the problem

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April 24, 2020
Divisibility Problem from AMC 10A, 2003 | Problem 25

Try this beautiful problem from Number theory based on divisibility from AMC-10A, 2003. You may use sequential hints to solve the problem.

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April 23, 2020
Perfect square Problem | AIME I, 1999 | Question 3

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 2011 based on Rectangles and sides.

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April 23, 2020
Function of Complex numbers | AIME I, 1999 | Question 9

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1999 based on Function of Complex numbers.

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April 23, 2020
Squares and Triangles | AIME I, 1999 | Question 4

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1999 based on Squares and Triangles.

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April 22, 2020
A Parallelogram and a Line | AIME I, 1999 | Question 2

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1999 based on A Parallelogram and a Line.

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April 22, 2020
Triangle and Integer | PRMO 2019 | Question 28

Try this beautiful problem from the Pre-RMO, 2019 based on Triangle and Integer. You may use sequential hints to solve the problem.

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April 21, 2020
Area of Triangle and Integer | PRMO 2019 | Question 29

Try this beautiful problem from the Pre-RMO, 2019 based on Area of Triangle and Integer. You may use sequential hints to solve the problem.

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April 21, 2020
Cones and circle | AIME I, 2008 | Question 5

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 2008 based on Cones and circle.

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April 21, 2020
Incentre and Triangle | AIME I, 2001 | Question 7

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 2001 based on Incentre and Triangle.

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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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May 1, 2021
How to Prepare for Indian National Math Olympiad (INMO) ~ Arjun Gupta

Arjun Gupta is an INMO Awardee and IMOTC candidate. This puts him in the top 35 students in India. Learn from this young achiever - How to Prepare for the Indian National Math Olympiad (INMO)? Cheenta is extremely proud to present this young achiever in Mathematics in our Young Achiever Seminar! The Young Achiever's Seminar […]

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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 28, 2021
Thousand Flowers - a ‘new’ approach to learn mathematics (for children)

Understand The Thousand Flowers Program is designed to provoke interest and curiosity in mathematics. It is particularly useful for children of age group 6 to 10 years, when they are starting out with the subject. The program wants to inspire interest and disregard intimidation. It uses a hands-on approach that freely draws from modern computational […]

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April 19, 2021
How to Prepare for EGMO ~ Ananya Ranade (Silver Medal)

How to Prepare for EGMO? Learn from the Achiever - Ananya Rajas Ranade (Silver Medal). Ananya Rajas Ranade, Silver Medalist in EGMO (European Girls Mathematics Olympiad) 2021 and a proud student of Cheenta, will be sharing with you all, how she prepared for the EGMO 2021 and how you can do it too. She will […]

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April 19, 2021
Is Multivariate Limit = Iterated Limit? Multivariate Limit Demystified

Multivariate Limits and Interated Limits confuse students. This article is a detailed way to understand the relationship between the two, with a quick 30 minutes tutorial.

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April 15, 2021
When Maximum Likelihood = Method of Moments?

MLE is an important algorithm to find an estimate. Method of Moments is too. But they are often same. When are they same? What is so common between them? Let's explore.

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April 14, 2021
ISI MStat 2020 PSB Problem 9 | Discussion & Solution

This problem is an application of the smoothng property of expectation and variance and compares the mse of two sample survey schemes inlcuding SRSWR and SRSWOR. Let's enjoy this problem 9 of ISI MStat 2020.

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April 12, 2021
AMC 8 Algebra Questions - Year wise

Try these AMC 8 Algebra Questions and check your knowledge! AMC 8, 2025, Problem 7 On the most recent exam on Prof. Xochi's class, 5 students earned a score of at least \(95 \%\),13 students earned a score of at least \(90 \%\),27 students earned a score of at least \(85 \%\),50 students earned a […]

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April 11, 2021
Is MLE always a function of a Sufficient Statistic?

MLE is an important algorithm to find an estimate. Sufficiency is a good small sample property. So, how are they related? Is MLE always a function of sufficient statistic? Let's explore.

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