Here are the problems and their corresponding solutions from B.Math Hons Objective Admission Test 2007. Problem 1 : The number of ways of going up $7$ steps if we take one or two steps at a time is (A) $19$ ;(B) $20$;(C) $21$ ;(D) $22$ . Problem 2 : Consider the surface defined by $x^{2}+2 […]
Here, you will find all the questions of ISI Entrance Paper 2011 from Indian Statistical Institute's B. Math Entrance. You will also get the solutions soon of all the previous year problems. Problem 1 : Let $a \geq 0$ be a constant such that $\sin (\sqrt{x+a})=\sin (\sqrt{x})$ for all $x \geq 0 .$ What can […]
Here, you will find all the questions of ISI Entrance Paper 2010 from Indian Statistical Institute's B. Math Entrance. You will also get the solutions soon of all the previous year problems. Problem 1: Prove that in each year, the $13$ th day of some month occurs on a Friday. Problem 2: In the accompanying […]
Here, you will find all the questions of ISI Entrance Paper 2009 from Indian Statistical Institute's B. Math Entrance. You will also get the solutions soon of all the previous year problems. Problem 1: Let $x, y, z$ be non-zero real numbers. Suppose $\alpha, \beta, \gamma$ are complex numbers such that $|\alpha|=|\beta|=|\gamma|=1 .$ If $x+y+z=0=\alpha […]
Here, you will find all the questions of ISI Entrance Paper 2008 from Indian Statistical Institute's B. Math Entrance. You will also get the solutions soon of all the previous year problems. Problem 1 : Let $f: \mathbb{R} \rightarrow \mathbb{R}$ be a continuous function. Suppose $$f(x)=\frac{1}{t} \int_{0}^{t}(f(x+y)-f(y)) d y$$ for all $x \in \mathbb{R}$ and […]
In 2021, Cheenta is proud to introduce 5-days-a-week problem solving sessions for Math Olympiad and ISI Entrance.
Here, you will find all the questions of ISI Entrance Paper 2014 from Indian Statistical Institute's B.Stat Entrance. You will also get the solutions soon of all the previous year problems. Problem 1: The system of inqualities $a-b^{2} \geq \frac{1}{4}$, $b-c^{2} \geq \frac{1}{4}$, $c-d^{2} \geq \frac{1}{4}$, $d-a^{2} \geq \frac{1}{4}$ has(A) no solutions(B) exactly one solution(C) […]
Here, you will find all the questions of ISI Entrance Paper 2013 from Indian Statistical Institute's B.Stat Entrance. You will also get the solutions soon of all the previous year problems. Problem 1: Let $i=\sqrt{-1}$ and $S=\{i+i^{2}+\cdots+i^{n}: n \geq 1\} .$ The number of distinct real numbers in the set $S$ is (A) 1(B) 2(C) […]
Complex numbers and geometry are very closely related. We consider a problem from I.S.I. Entrance that uses this geometric character complex numbers.
Try a beautiful problem from complex numbers and geometry. It is from I.S.I. Entrance. We have created sequential hints to make this mathematical journey enjoyable!
Problem 1 Andy and Betsy both live in Mathville. Andy leaves Mathville on his bicycle at $1: 30$ traveling due north at a steady 8 miles per hour. Betsy leaves on her bicycle from the same point at 2:30, traveling due east at a steady 12 miles per hour. At what time will they be […]
Here are the problems and solutions of IOQM (Indian Olympiad Qualifier in Mathematics) 2025
Practice NMTC questions of Ramanujan 2025 and sharpen problem-solving skills and prepare for the National Mathematics Talent Contest.
Practice NMTC questions of Kaprekar 2025 and sharpen problem-solving skills and prepare for the National Mathematics Talent Contest.
Here are the NMTC 2025 - Bhaskara Contest Questions and Solutions of the Screening Test, one of the best Mathematical Olympiads in India.
Here is the NMTC 2025 - Gauss Contest Questions and Solutions of the Screening Test, one of the best Mathematical Olympiads in India.
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 […]
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 […]
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 […]
Problem 1 Two blocks A and B of masses 1 kg and 4 kg respectively are moving with equal kinetic energies. Read the following statements \(S_1\) and \(S_2\)Statement \(S_1\) : Ratio of speed of the block A to that of B is (1: 2)Statement \(S_2\) : Ratio of magnitude of linear momentum of (A) to […]
The 18th week of the Kankinara Faculty and Training Programme focused on collaborative classroom engagement and creative learning through activity-based sessions. The week’s sessions were designed to help faculty experience how to conduct integrated classes where language learning and hands-on activities go together, keeping students actively involved and motivated. Two faculty members from Kankinara attended […]
The 17th week of the Kankinara Faculty and Training Programme focused on strengthening digital documentation skills through practical training on Google Docs. The sessions were designed to help participants create structured academic materials for classroom use in an organised and professional manner. Participants were guided on how to use Google Docs to prepare question–answer papers […]
The 16th week of the Kankinara Faculty and Training Programme focused on developing social awareness, values, and language skills through lessons on basic etiquette and moral learning. The sessions were designed to help participants understand appropriate behaviour in everyday and professional settings while strengthening their reading and comprehension abilities. Participants were introduced to basic etiquette, […]
The 15th week of the Kankinara Faculty and Training Programme was dedicated to strengthening and reinforcing the skills developed throughout the previous weeks. Instead of introducing new topics, the sessions focused on revisiting key areas of learning to ensure clarity, confidence, and long-term retention. Participants engaged in guided revision of English grammar concepts, sentence construction, […]
The 14th week of the Kankinara Faculty and Training Programme marked an important milestone, as it focused on evaluating the overall learning progress of the participants through a structured examination. The assessment was designed based on the training conducted over the previous weeks and aimed to measure participants’ understanding of English language skills, grammar concepts, […]
The 13th week of the Sundarban and Kankinara Faculty and Training Programme focused on introducing participants to modern digital tools while reinforcing their English language foundation. The sessions were designed to help participants become more confident users of technology for learning, communication, and professional growth. The week began with an interactive session on the use […]
Problem 1 What is the value of $$\left(\left((2+1)^{-1}+1\right)^{-1}+1\right)^{-1}+1 ?$$ (A) $\frac{5}{8}$(B) $\frac{11}{7}$(C) $\frac{8}{5}$(D) $\frac{18}{11}$(E) $\frac{15}{8}$ Answer: (B) $\frac{11}{7}$ Problem 2 Liliane has $50 \%$ more soda than Jacqueline, and Alice has $25 \%$ more soda than Jacqueline. What is the relationship between the amounts of soda that Liliane and Alica have?(A) Liliane has $20 \%$ […]
Problem 1 What is the value of $(2(2(2(2(2(2+1)+1)+1)+1)+1)+1)$(A) 70(B) 97(C) 127(D) 159(E) 729 Answer: (C) 127 Problem 2 Pablo buys popsicles for his friends. The store sells single popsicles for $\$ 1$ each, 3popsicle boxes for $\$ 2$ each, and 5 -popsicle boxes for $\$ 3$. What is the greatest number of popsicles that Pablo […]
Problem 1. Let $x_1, x_2, x_3, \ldots$ be a sequence of positive integers defined as follows: $x_1=1$ and for each $n \geqslant 1$ we have $$x_{n+1}=x_n+\left\lfloor\sqrt{x_n}\right\rfloor$$ Determine all positive integers $m$ for which $x_n=m^2$ for some $n \geqslant 1$. (Here $\lfloor x\rfloor$ denotes the greatest integer less or equal to $x$ for every real number […]
1 What is the value of the following expression? 1+2-3+4+5-6+7+8-9+10+11-12 A. 18 B. 21 C. 24 D. 27 E. 30 Answer - A 2 In the array shown below, three 3 s are surrounded by 2 s, which are in turn surrounded by a border of 1 s . What is the sum of the […]