# “The Knowledge Library”

#### Knowledge for All, without Barriers…

##### An Initiative by: Kausik Chakraborty.
11/12/2023 11:05 AM

# “The Knowledge Library”

Knowledge for All, without Barriers……….

## The Knowledge Library

### Fibonacci Sequence

What is the Fibonacci Sequence? The Fibonacci sequence is one of the most well-known formulas in number theory and one of the simplest integer sequences

### Golden Ratio

What is the Golden Ratio? The golden ratio or golden mean, represented by the Greek letter phi (ϕ), is an irrational number that approximately equals

### Probability Sampling

What is Probability Sampling? Probability sampling is a sampling technique in which respondents are chosen through random selection. This means that any member of the

### Normal Distribution

What is a Normal Distribution? A normal distribution is a continuous probability distribution of data points that appears as a bell curve when graphed using

### Mean, Median, Mode

How to Find the Mean Mean is one of the measures of central tendency in statistics. The mean or the arithmetic mean is the arithmetic

### Frequency Distribution

What is a Frequency Distribution? A frequency distribution is a quantitative data set that shows the number of times categorical variables occur. They are often

### Sampling Methods

What are Sampling Methods? Sampling methods are used in surveying and data research to find manageable cohorts of people who are representative of the population

### Standard Deviation

What is the Standard Deviation Formula? The standard deviation formula is an equation to measure the positive square root of the variance, or the average

### Correlation

What is Correlation? In statistics correlation, also known as dependence, is the statistical measure of a relationship between bivariate data, or any data involving two

### Bayes’ Theorem

What s the Bayes’ Theorem? Bayes’ theorem—also known as Bayes’ rule and Bayes’ law—is an intuitive algorithm mathematicians use to calculate probability. It takes its

### Statistics

Statistics Definition Statistics is a field of mathematical analysis combining linear algebra, calculus involving differential equations, probability theory, and other related disciplines to better understand

### What is Graph Theory?

Graph theory is a branch of mathematics that covers the graphic depiction of data and relationships between objects. These endpoints (also known as a set

### What is Time Series Analysis?

Time series analysis revolves around looking at data points in both the long and short term to see how time affects them. By looking at

### What Is an Inverse Relationship?

Inverse relationships, or negative relationships, are between two variables that have a negative correlation. When one variable increases, the other decreases, and vice versa. These are inverse

### What is a Graph in Math?

A graph in math is a data structure, which is a pictorial representation of a data network or a group of related objects. Graph theory

### What is Periodic Table?

Description History Developed by Dmitri Mendeleev in 1869. He arranged elements based on their atomic masses and predicted the existence of undiscovered elements. Organization Elements

### Key Concept of Cause and Effect

What are the Cause and their Effects? Cause and effect are complementary to each other as the cause occurs so it’s an effect. In reasoning,

### Statement and Conclusion- Analytical Reasoning

Introduction :  The statement and conclusion section is a part of logical and analytical reasoning, which is frequently asked in all government exams, especially in banking sector exams. Statement and

### Assumptions and Conclusions, Courses of Action

Assumptions and Conclusions : In these type of questions, we are given a conclusion and we have to find the most appropriate assumption from the given

### Word Analogy

Analogy is a topic of Logical Reasoning where the two things are compared and conclusions are drawn based on their similarities. The analogy questions are

### Alphanumeric Series

Alpha-numeric, a series which is formed by combining both alphabets and numbers is called an alphanumeric series. Alphanumeric series sometime include symbols as well. So

### Inequality Reasoning

Introduction of Inequality: In such types of questions of Inequality, a group of elements is given with a certain coded relationship denoted by <, >,

### Inequality Questions

Directions (1-2): In these questions, the relationship between different elements is shown in the statements. These statements are followed by two conclusions.   Mark the

Q1. Which of the following symbols should be placed in the blank spaces respectively (in the same order from left to right) in order to

### Advanced Level Order and Ranking Questions

Q1. In a row of kids all are facing North, K is 35th from the left end while R is 20th from the right end

### Order and Ranking : Concepts, Questions, Solved Examples

Rule No 1: To find the total number of persons/things of a single row, when ranks of one person/things is/are given from both sides of

### Shapes Names in English

What are Shapes? Shapes are geometric figures, or the pattern an outline falls into. Shapes are often drawn (whether by ink, pencil, or digitally), but they

### Metric System Unit Abbreviations

Basic Metric Abbreviations and Prefixes In the metric system, there are three basic units to measure length, volume, and weight (mass). You have the meter (m)

### Measurement Abbreviations

Height/Length/Depth The following abbreviations are for units used to measure length, height, or depth. They can also be used to measure distances and ranges. ft

### Difference between Foot and Feet

Our daily lives are filled with measurements, Different units are used by human beings to measure the shape of an object like meters, centimeters, inches,

### Measurements

Term Symbol Value yotta Y 1024 zetta Z 1021 exa E 1018 peta P 1015 tera T 1012 giga G 109 mega M 106 kilo

### How to Find Area of a Circle

In this section, we will learn how to find the area of a circle. At the last of this section, we have explained some examples

### Pi

Pi is a mathematical constant. The lowercase Greek letter π represents the symbol pi. It is an acronym of the periphery. The word pi was derived from the first

### What is Math?

The word math stands for mathematics. It is a field of study. The word mathematics originates from the Greek word máthema. The meaning of máthema word is science, knowledge or learning. Both math and maths are

### Time and Work Part-1

Trick-1: If A can do a certain work in x days and B can complete same work in y days if they work together then they will

### Time & Distance Part-6

Suppose point A से एक कार X km/hr के speed से point B की ओर जा रहा है एवं point B से एक कार Y

### Time & Distance Part-5

(Q1)A train passes two persons walking in the same direction at a speed of 3 km/hour and 5 km/hour respectively in 10 seconds and 11

### Time & Distance Part-4

⇒Suppose A and B are two objects and their speeds are respectively S1 and S2 moving in the same direction ⇒suppose A and B are

### Time & Distance Part-3

(Q1)Aman when increasing his speed from 24 km/hr to 30 km/hr. He takes 1 hour less than the usual time to cover a certain distance.

### Time & Distance Part-2

(Q1)A boy goes to his school from his house at a speed of 3 km/hr and returns at a speed of 2 km/hr. if he

### Time & Distance Part-1

Important time, speed and distance formula Time And Distance Concepts and shortcut Type-1 (Q1)Sriya with her family travelled from Bolpur to Suri by car at

### Ratio & Proportion Part-2

(Q1)The product of two positive integers is 1575 and their ratio is 9:7. The smaller integer is. दो संख्याओं का गुणनफल 1575 है और उनका

### Ratio & Proportion Part-1

Ratio And Proportion Concept Ratio – It is a way of comparing two numbers or quantities and showing the relationship between them. It is denoted by → ‘:’

### Profit and Loss Part-7

For Example: (Q1)Successive discounts of 30% and 20% are equivalent to a single discount of. Solution: =44% Ans. (Q2)A single discount equivalent to the successive

### Profit & Loss Part-1

Profit and Loss Definition:- Marked price(M.P): The normal price of the thing without any discount. Cost price(C.P): The price at which an article is purchased is called

### Percentage Problem Concepts and Shortcut Tricks Type-9

(Q1)The population of a town increases by 5% every year. If the present population is 9261, The population 3 Years ago was. Solution: F.Q=I.Q×M.F Where I.Q=Initial

### Percentage Problem Concepts and Shortcut Tricks Type-8

(Q1)Mohan gives 35% of the money he had to his wife and gave 50% of the money he had to his sons. The remaining amount

### Percentage Problem Concepts and Shortcut Tricks Type-7

(Q1)In an election, there were only two candidates. one of the candidates secured 40% of votes and is defeated by the other candidate by 298