Mathematics and Stastics

 Distance between two points Here is how to calculate the distance between two points when you know their coordinates:     Let us call the two points A and B     We can run lines down from A, and along from B, to make a Right Angled Triangle. And with a little … Read more

 Area of triangle The area of triangles can be found by using the following formula:                         Area =  Base × height / 2 The red line represents the length of the base (call it b if you want) and the blue line represents the length of the height.   To get the area, … Read more

 Vedic maths: Square Example : Find square of   12 Step 1 1010 is the nearest power of 1010 which can be taken as our base. The deviation to our base =12−10=2=12−10=2 (To find the deviation, just remove the leftmost digit “11” and you will get it quickly). Left side of the answer is the sum of the number … Read more

 Vedic maths: Square Example : Find square of   12 Step 1 1010 is the nearest power of 1010 which can be taken as our base. The deviation to our base =12−10=2=12−10=2 (To find the deviation, just remove the leftmost digit “11” and you will get it quickly). Left side of the answer is the sum of the number … Read more

 Compound Interest   Let Principal = P, Rate = R% per annum, Time = n years.   When interest is compound Annually:    Amount = P 1 + R n 100 When interest is compounded Half-yearly:     Amount = P 1 + (R/2) 2n 100 When interest is compounded Quarterly:     Amount = … Read more

 Calculation of income tax (for salaried person and excluding house rent allowance) Salary is made up of various components such as:   Basic salary,    House rent allowance (HRA),   Special allowance Other allowances, reimbursements etc.   However, not all of the amount received as salary is fully taxable. A part of it … Read more

 Number system 1. Basic Formulae  (a + b)(a – b) = (a2 – b2) (a + b)2 = (a2 + b2 + 2ab) (a – b)2 = (a2 + b2 – 2ab) (a + b + c)2 = a2 + b2 + c2 + 2(ab + bc + ca) (a3 + b3) = (a + b)(a2 – ab + b2) (a3 – b3) = (a – b)(a2 + ab + b2) (a3 + b3 + c3 – 3abc) = (a + b + c)(a2 + b2 + c2 – ab – bc – ac) When a + b + c = 0, then a3 + b3 + c3 = 3abc   2. Types of Numbers I. Natural Numbers Counting numbers 1,2,3,4,5,…1,2,3,4,5,… are called natural numbers   … Read more

 MENSURATION Mensuration is the branch of mathematics which deals with the study of different geometrical shapes, their areas and Volume. In the broadest sense, it is all about the process of measurement. It is based on the use of algebraic equations and geometric calculations to provide measurement data regarding the width, depth and volume … Read more

 Data interpretation Data Interpretation or DI refers to the implementation of procedures through which data is reviewed for the purpose of arriving at an inference. Data can be obtained from multiple sources e.g. data from running of industries, census population data etc. Interpreting data requires analyzing data to infer information from it in … Read more

 Mixed ratio and proportion Ratio Introduction: Ratio is the relation which one quantity bears to another of the same kind. The ratio of two quantities a and b is the fraction a/b and we write it as a: b. In the ratio a: b, we call a as the first term or antecedent and b, … Read more