One Point Solution for JPSC Preparation
Variance Variance (?2) in statistics is a measurement of the spread between numbers in a data set. That is, it measures how far each number in the set is from the mean and therefore from every other number in the set. In investing, the variance of the returns among assets in a portfolio is analyzed … Read more Variance
? Contribution of aryabhatta in mathematics Number notation Numerical values He made a notation system in which digits are denoted with the help of alphabet numerals e.g., 1 = ka, 2 = Kha, etc. Aryabhatta assigned numerical values to the 33 consonants of the Indian alphabet to represent 1,2,3…25,30,40,50,60,70,80,90,100. Notation system He invented a … Read more Contribution Of Aryabhatta In Mathematics
? Fractions Any unit can be divided into any numbers of equal parts, one or more of this parts is called fraction of that unit. e.g. one-forth (1/4), one-third (1/3), three-seventh (3/7) etc. The lower part indicates the number of equal parts into which the unit is divided, is called denominator. The upper part, which indicates the number … Read more Fractions Or Rational Number
? TIPS AND TRICKS FOR SPEEDY CALCULATIONS – MODULE III – MULTIPLICATION In this module we deal with techniques using which we can multiply two numbers in an unorthodox but quick manner. Firstly we take up some specific cases using which we come to generalized multiplication of any two given numbers. Multiplying two … Read more Tips And Tricks For Speedy Calculations Module 2 Roots
? Age Problems Important Formulas on “Problems on Ages”: 1. If the current age is x, then n times the age is nx. 2. If the current age is x, then age n years later/hence = x + n. 3. If the current age is x, then age n years ago = x – n. 4. The ages in a ratio a : b will be ax and bx. 5. If the current age is x, … Read more Age Problems
? Multiplying Fractions There are 3 simple steps to multiply fractions Multiply the top numbers (the numerators). Multiply the bottom numbers (the denominators). Simplify the fraction if needed. example: 1 / 2 × 2 / 5 =? Step 1 Multiply the top numbers: 1 / 2 × 2 / 5 = … Read more Multiplying Fractions And Ratio And Proportion
? Average What is Average? The result obtained by adding several quantities together and then dividing this total by the number of quantities is called Average. The main term of average is equal distribution of a value among all which may distribute persons or things. We obtain the average of a number using formula that … Read more Average Or Ap
? MATHEMATICS AND QUATITUATIVE APTITUDE – SIMPLE INTEREST Introduction Money is not free and it costs to borrow the money. Normally, the borrower has to pay an extra amount in addition to the amount he had borrowed. i.e, to repay the loan, the borrower has to pay the sum borrowed and the interest. Lender … Read more Simple Interest
? Square Root & Cube Root Step 1: First of all group the number in pairs of 2 starting from the right. Step 2: To get the ten’s place digit, Find the nearest square (equivalent or greater than or less than) to the first grouped pair from left and put the square root of the … Read more Square Roots And Cube Roots
? Important Formulas – Percentage Percentage Percent means for every 100 So, when percent is calculated for any value, it means that we calculate the value for every 100 of the reference value. percent is denoted by the symbol %. For example, x percent is denoted by x% x%=x/100 Example : … Read more Percentage
? Contribution of Brahma gupta, in mathematics Brahmagupta was born in 598 A.D.in Bhinmal city in the state of Rajasthan. He was a mathematician and astronomer, who wrote many important works on mathematics and astronomy. His best known work is the “Brahmasphuta?siddhanta”, written in 628 AD in Bhinmal. He was the first to use … Read more Contribution Of Brahma Gupta
? Direction test Introduction: There are four main directions – East, West, North and South as shown below: There are four cardinal directions – North-East (N-E), North-West (N-W), South-East (S-E), and South-West (S-W) as shown below: Key points At the time of sunrise if a man stands facing the east, his shadow will be towards … Read more Direction Test
? 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 Number System
? Puzzle Test Puzzle Test section comprises problems put in the form of puzzles involving certain number of items, be it persons or things. The candidate is required to analyse the given information, condense it in a suitable form and answer the questions asked. In this type of test, the questions are … Read more Puzzle Test
? 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 Data Interpretation
? 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
? Commercial mathematics Banking Banking can be defined literarily as the business activity of accepting and safeguarding money owned by individuals and entities and release of the money whenever the needs arise by the owner. It is the business of managing money and where money is involved everything must be carefully assessed, valued and … Read more Banking
? Analogy Level-1 CLASSIFICATION LEVEL 1 Classification involves putting things into a class or group according to particular characteristics so it’s easier to make sense of them, whether you’re organizing your shoes, your stock portfolio, or a group of invertebrates. From all competitive examination classification is one of the most important topics, this … Read more ClassificationL 1
? Data analysis Data analysis is a primary component of data mining and Business Intelligence (BI) and is key to gaining the insight that drives business decisions. Organizations and enterprises analyze data from a multitude of sources using Big Data management solutions and customer experience management solutions that utilize data analysis to transform data … Read more Number System, Fractions
? 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 Area Of Triangle
? CHAIN RULE This module will teach you the basics of direct and indirect proportions. These concepts will further help you in time and work questions. Important Formulas – chain rule Direct Proportion Two quantities are said to be directly proportional, if on the increase or decrease of … Read more Chain Rule
? TIPS AND TRICKS FOR SPEEDY CALCULATIONS – MODULE IV – DIVISION Division is no more tedious as it used to be! In this module we deal with divisibility rules of various numbers, how to find remainders and general division rules. After reading this module and solving problems by heart you may find … Read more Tips And Tricks For Speedy Calculations Module 4 Division
? Shrinivas Ramanujan: Contribution to mathematics Srinivasa Ramanujan, an Indian mathematician was born in 22nd December, 1887 in Madras, India. Like Sophie Germain, he received no formal education in mathematics but made important contributions to advancement of mathematics. His chief contribution in mathematics lies mainly in analysis, game theory and infinite series. He made … Read more Shrinivas Ramanujan
? Median Median is the middle number in a sorted list of numbers. To determine the median value in a sequence of numbers, the numbers must first be arranged in value order from lowest to highest. If there is an odd amount of numbers, the median value is the number that is in the … Read more Median
? Fractions Any unit can be divided into any numbers of equal parts, one or more of this parts is called fraction of that unit. e.g. one-forth (1/4), one-third (1/3), three-seventh (3/7) etc. The lower part indicates the number of equal parts into which the unit is divided, is called denominator. The upper part, which indicates the number … Read more Fractions
? Average The word “average” is used in everyday life to describe where the middle number of a data set is. It’s the typical number you would expect to find in a series of numbers. In statistics, the average is called the “arithmetic mean,” usually just shortened to the mean. Both the average and … Read more Averages
? TIME AND WORK In these problems the number of persons, quantity of work done and time taken are important factors. Also time taken by a person depends on the efficiency of that person which comes into picture when different people do the work such as women, children do the work … Read more Time & Work
? Relation between arc radius and angle Arc length = [radius • central angle (radians)] Arc length = circumference • [central angle (degrees) ÷ 360] Proof of the trigonometric ratios of complementary allied angles Two acute angles are complementary to each other if their sum is equal to 90°. In … Read more Relation Between Arc Radius And Angle
? Concepts of geometry Points, Lines & Planes The most fundamental geometric form is a point. It is represented as a dot with a capital alphabet which is its name. A line is a set of points and it extends in opposite directions up to infinity. It is represented by two points on … Read more Concepts Of Geometry
? 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 Calculation Of Income Tax
? Pie-chart A pie graph (or pie chart) is a specialized graph used in statistics. The independent variable is plotted around a circle in either a clockwise direction or a counterclockwise direction.The dependent variable (usually a percentage) is rendered as an arc whose measure is proportional to the magnitude of the quantity.Each arc is … Read more Pie
? Simplification Simplification is one of the most important part of Quantitative Aptitude section of any competitive exam. Today I am sharing all the techniques to solve Simplification questions quickly. Rules of Simplification V ? Vinculum B ? Remove Brackets – in the order ( ) , { }, [ ] O ? Of D ? Division M … Read more Simplification
? Computer Binary digit system The binary number system, also called the base-2 number system, is a method of representing numbers that counts by using combinations of only two numerals: zero (0) and one (1). Computers use the binary number system to manipulate and store all of their data including numbers, words, videos, graphics, … Read more Computer Binary Digit System
? Surds A surd is a square root which cannot be reduced to a rational number. For example, is not a surd. However is a surd. If you use a calculator, you will see that and we will need to round the answer correct to a few decimal places. This makes it less accurate. If … Read more Surds And Indices
? Algorithm method – meaning and quality, indefinate, definite In mathematics, computing, linguistics and related subjects, an algorithm is a sequence of finite instructions, often used for calculation and data processing. It is formally a type of effective method in which a list of well-defined instructions for completing a task will, when given an … Read more Algorithm Method
? 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 Mensuration (revised)
? HCF & LCM HCF & LCM are acronym for words, Highest common factor and Lowest common multiple respectively. 1. H. C. F While we all know what a multiplication is like 2 * 3 = 6. HCF is just the reverse of multiplication which is known as Factorization. Now factorization is breaking … Read more Hcf And Lcm
? TIME & DISTANCE In this module we will deal with basic concepts of time and distance, speed, average speed, conversion from km/h to m/s and vice versa. This chapter will form the basis of further concept of relative speed which is used in train and boat problems. Important … Read more Time & Distance
? Change of binary number to decimal number and decimal number to binary number Binary Number System Digital computer represents all kinds of data and information in the binary system. Binary Number System consists of two digits 0 and 1. Its base is 2. Each digit or bit in binary number system can be … Read more Change Of Binary Number To Decimal Number And Decimal Number To Binary Number
? Time and distance Relationship between speed, distance and time Speed = Distance / Time or Distance = Speed × Time Average Speed = 2xy / x+y where x km/hr is a speed for certain distance and y km/hr is a speed at for same distance covered. As we know, Speed = Distance/ Time. … Read more Time And Distance And Intrest
? TIPS AND TRICKS FOR SPEEDY CALCULATIONS – MODULE III – MULTIPLICATION In this module we deal with techniques using which we can multiply two numbers in an unorthodox but quick manner. Firstly we take up some specific cases using which we come to generalized multiplication of any two given numbers. Multiplying two … Read more Tips And Tricks For Speedy Calculations Module 3 Multiplication
? Discount The discount is referred to the reduction in the price of some commodity or service. It may anywhere appear in the distribution channel in the form of modifications in marked price (printed on the item) or in retail price (set by retailer usually by pasting a sticker on the item) or in list price (quoted for the buyer). The discount … Read more Discounts
? Addition and subtraction in vedic maths Vedic maths Addition Usually if we want to add to numbers say 52 and 66 we would add the unit digits. and if there is any remainder we will bring it to the tens digit and atlast we will add the tens digit. Now we will do … Read more Addition And Subtraction In Vedic Maths
? Analogy Level-1 ANALOGY LEVEL 1 When you draw an analogy between two things we compare them for the purpose of explanation. If a scientist says that earth’s forest functions as human lungs then we instantly draw an explanation that both lungs and trees intake important elements from air. As far as SSC … Read more AnalogyLevel1
? Pipes and Cistern Inlet: A pipe connected with a tank or a cistern or a reservoir, that fills it, is known as an inlet. Outlet: A pipe connected with a tank or cistern or reservoir, emptying it, is known as an outlet. If a pipe can fill a tank in x hours, … Read more Pipe And Cistern
? Prepositions Prepositions are short words (on, in, to) that usually stand in front of nouns (sometimes also in front of gerund verbs). Even advanced learners of English find prepositions difficult, as a 1:1 translation is usually not possible. One preposition in your native language might have several translations depending on the situation. The … Read more Prepositions
? calculation of interest on/in savings account, fixed deposit account and recurring deposit account Saving account Interest rate calculation Formula Daily interest = Amount (Daily balance) * Interest (3.5/100) / days in the year. Earlier method of interest rate calculation Earlier, banks would pay interest at the rate of 3.5% p.a. on the … Read more Calculation Of Interest On
? Height and Distance This topic has many practical application in day to day life. In engineering stage it is used in surveying. The basic purpose is to find the unknown variables by observing the angle of the line of sight. This is done by using some the fact that in … Read more Height And Distance
? PARTNERSHIP Partnership : Partnership is an association of two or more parties, they put money for business. Simple Partnership: Simple partnership is one in which the capitals of the partners are invested for the same time. The profit or losses are divided among the partners in the ratio … Read more Partnership
? RELATIVE SPEEED AND TRAIN QUESTIONS Speed has no sense of direction unlike the velocity. Relative speed is the speed of one object as observed from another moving object. Questions on train are the classic examples of relative speed and in all these questions it is assumed that trains move parallel … Read more Relative Speed And Train Questions