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 […]
This is a problem from I.S.I. M.Math Subjective Sample Paper 2013 based on Riemann Integrable Function. Try out this problem. Problem: Riemann Integrable function Let N>0 and let $latex \mathbf{ f:[0,1] to [0,1] }$ be denoted by f(x) = 1 if x=1/i for some integer $latex \mathbf{i\le N}$ and f(x) = 0 for all other […]
This is a problem from I.S.I. M.Math Subjective Sample Paper 2013 based on Maximal Ideal of a Polynomial Ring. Try this out. Problem: Maximal Ideal of a Polynomial Ring Let k be a field and k [x, y] denote the polynomial ring in the two variables x and y with coefficient from k . Prove that […]
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 […]
Here, you will find all the questions of ISI Entrance Paper 2011 from Indian Statistical Institute's B.Stat Entrance. You will also get the solutions soon of all the previous year problems. Problem 1: Let $x_1, x_2, \cdots , x_n $ be positive reals with $x_1+x_2+\cdots+x_n=1 $. Then show that $ \sum_{i=1}^n \frac{x_i}{2-x_i} \ge \frac{n}{2n-1} $ […]
[et_pb_section fb_built="1" admin_label="Courses Hero" _builder_version="4.3.2" use_background_color_gradient="on" background_color_gradient_start="#474ab6" background_color_gradient_end="#9271f6" background_image="https://www.staging18.cheenta.com/wp-content/uploads/2018/03/coding-background-texture.jpg" background_blend="overlay" custom_padding="100px|0px|0|0px|false|false" animation_direction="top" locked="off"][et_pb_row _builder_version="4.3.2" background_size="initial" background_position="top_left" background_repeat="repeat" custom_margin="|||" custom_width_px="1280px"][et_pb_column type="4_4" _builder_version="3.25" custom_padding="|||" custom_padding__hover="|||"][et_pb_text _builder_version="3.27.4" header_font="|on|||" header_font_size="42px" header_line_height="1.3em" background_size="initial" background_position="top_left" background_repeat="repeat" text_orientation="center" background_layout="dark" max_width="530px" module_alignment="center" custom_padding="|||" header_font_size_tablet="" header_font_size_phone="" header_font_size_last_edited="on|desktop" locked="off"] Problem Garden [/et_pb_text][et_pb_text _builder_version="4.3.2" text_text_color="#d4ccff" text_line_height="1.9em" background_size="initial" background_position="top_left" background_repeat="repeat" text_orientation="center" max_width="540px" module_alignment="center" locked="off"]Mathematics is not a […]
It is possible to input Latex in facebook to input math equations. Latex in Facebook Down side is, only viewers using chrome and latex extension installed can view the equations. Other browsers can only see latex code. Anyways, it is better than not having latex at all. Steps: Go to Google Chrome Click on Settings […]
Day 1 - 03 January 2014 1 Let be two positive sequences defined by and for all . Prove that they are converges and find their limits. 2 Given the polynomial where is a positive integer. Prove that can't be written as a product of non-constant polynomials with integer coefficients. 3 Given a regular […]
Problem 1In a triangle $A B C,$ let $D$ be a point on the segment $B C$ such that $A B+B D=A C+C D .$ Suppose that the points $B, C$ and the centroids of triangles $A B D$ and $A C D$ lie on a circle. Prove that $A B=A C .$Solution […]
This is a problem from Test of Mathematics, TOMATO problem 6. It is useful for ISI and CMI Entrance Exam. Problem : TOMATO Problem 6 Let $latex x_1 , x_2, ..... , x_{100} $ be positive integers such that $latex x_i + x_{i+1} = k $ for all $latex i $ where $latex k $ […]