Featured Original PDF
Featured Original PDF
LINE-GRAPHS This section comprises of question in which the data collected in a particular discipline are represented by specific points together by straight lines. The points are plotted on a two-dimensional plane taking one parameter on the horizontal axis and the other on the vertical axis. The candidate is required to analyse the given […]
PIE-CHARTS IMPORTANT FACTS AND FORMULAE The pie-chart or a pie-graph is a method of representing a given numerical data in the form of sectors of a circle. The sectors of the circle are constructed in such a way that the area of each sector is proportional to the corresponding value of the component of the […]
BAR GRAPHS this section comprises of questions in which the data collected in a particular discipline are represented in the form of vertical or horizontal bars drawn by selecting a particular scale.one of the parameters is plotted on the horizontal axis and the other on the vertical axis . the candidate is required to […]
TABULATION This section comprises of questions in which certain data regarding common disciplines as production over a period of a few years: imports, exports, incomes of employees in a factory, students applying for and qualifying a certain field of study etc. are given in the form of a table. The candidate is required to understand […]
Probability Important Facts and Formula 1.Experiment :An operation which can produce some well-defined outcome is called an experiment 2.Random experiment: An experiment in which all possible outcome are known and the exact out put cannot be predicted in advance is called an random experiment Eg of performing random experiment: (i)rolling an unbiased dice (ii)tossing a […]
PERMUTATIONS AND COMBINATIONS IMPORTANT FACTS AND FORMULAE Factorial Notation: Let n be a positive integer. Then, factorial n, denoted by n! is defined as: n! = n(n-1)(n-2)……..3.2.1. Examples: (i) 5! = (5x 4 x 3 x 2 x 1) = 120; (ii) 4! = (4x3x2x1) = 24 etc. We define, 0! = 1. Permutations: […]
CLOCKS IMPORTANT FACTS The Face or dial of a watch is a circle whose circumference is divided into 60 equal parts, called minute spaces. A clock has two hands, the smaller one is called the hour hand or short hand while the larger one is called the minute hand or long hand.. i) In 60 […]
RACES AND GAMES IMPORTANT FACTS Races: A contest of speed in running, riding, driving, sailing or rowing is called race Course: The ground or path on which contests are made is called a race course. Starting Point: The point from which a race begins is known as a starting point. Winning Point or Goal: The […]
AREA FUNDEMENTAL CONCEPTS I.RESULTS ON TRIANGLES: 1.Sum of the angles of a triangle is 180 degrees. 2.Sum of any two sides of a triangle is greater than the third side. 3.Pythagoras theorem: In a right angle triangle, (Hypotenuse)^2 = (base)^2 + (Height)^2 4.The line joining the midpoint of a side of a triangle to the […]
LOGARITHMS IMPORTANT FACTS AND FORMULAE Logarithm: If a is a positive real number, other than 1 and am = X, then we write: m = loga x and we say that the value of log x to the base a is m. Example: (i) 103 = 1000 => log10 1000 = 3 (ii) 2-3 […]