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Showing posts with label Study Material. Show all posts
Showing posts with label Study Material. Show all posts

Sunday, 5 November 2017

Useful & Simple Maths Tricks

SIMPLE MATHS TRICKS


v Squaring:
In this simple trick, we need to modify the equation and make the units digit zero. After all, it is easy to multiply when unit’s digit is zero.
For example - Find square of 43
= (43+3) × (43-3) + (3×3)
=(46×40) + 9
= (460×4) + 9
= 1840 + 9 = 1849
               OR (By the Other way)
Example-





v Multiplication-
Vedic maths gave us the easiest method to do complex multiplications quickly.
For Example- Multiply 62 with 32

                                                           Step 1




                                                             Step 2 




                                            Step 3



Ø    Multiplication with 5
o   Simply multiply the number by 10 and then divide it by 2.
For example 99×5
Step 1: 99×10=990
Step 2: 990/2= 495

Ø    Multiplication with 99
o   Multiply the number with 100 and then minus the same number from the result.
Let's take an example
Multiply 32×99
Step 1: 32×100=3200
Step 2: 3200-32 = 3168


v Computing Compound Interest

 A] C.I. for 2 years, CI2 = R2% × Principal where, R2=2r|r2 

For Example- Principal = 10,000; Rate = 12%; Time = 2years
Here, R2 = 2×12/12×12 = 24/144 = 25. 44
CI2 = 25.44% × 10000 = 2544

B] C.I. for 3 years, CI3 = R3% × Principal where, R3=3r|3r2|r3

For Example- Principal = 25,000; Rate = 12%; Time = 3years
Here, R3 = 3×12|3×12×12|123 = 36|432|1728 = 40.4928
CI3 = 40.4928% × 25000 = 10123.20


v Time and Work
Every question in time and work chapter can be solved easily by finding the efficiency of workers or subject (such as pipes).
For example- A takes 10 days to complete a job. B takes 20 days to complete the same job. In how many days they will complete the job if they work together?

A's efficiency = 100/10 = 10% per day
B's efficiency = 100/20 = 5% per days
A and B can do 15% of the work in a day if they work together. So they can do the whole job in 100/15 = 6.66 days or 6 days and 18 hours.

v Number Series
In Number series questions, you need to find the pattern of series.

Let's take an example: 

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Saturday, 16 September 2017

What is POP & OOP?

POP & OOP Short Note
  ØWhat is POP?
                POP full form is Procedure Oriented Programming. Procedural programming is a programming paradigm, derived from structured programming, based upon the concept of the procedure call.
            When program become larger, it is divided into function & each function has clearly defined purpose. Dividing the program into functions & module is one of the cornerstones of structured programming.  E.g.:- c, basic, FORTRAN.




Ø Characteristics of Procedural Oriented Programming:-
§  It focuses on process rather than data.
§  It takes a problem as a sequence of things to be done such as reading, calculating and printing. Hence, a number of functions are written to solve a problem.
§  A program is divided into a number of functions and each function has clearly defined purpose.
§  Most of the functions share global data.
§  Data moves openly around the system from function to function.


Ø Drawback of  POP (structured programming):-
§  It emphasis on doing things. Data is given a second class status even through data is the reason for the existence of the program.
§  Since every function has complete access to the global variables, the new programmer can corrupt the data accidentally by creating function. Similarly, if new data is to be added, all the function needed to be modified to access the data.
§  It is often difficult to design because the components function and data structure do not model the real world.
§  Modularity is generally desirable, especially in large, complicated programs.


Ø What Is OOP?

      It means Object Oriented Programming. To overcome the drawbacks of POP this
Programming language was introduced. It’s organized around objects rather than actions and data rather than logic. 

OOP is a programming paradigm based on the concept of  objects, which may contain data, in the form of fields, often known as attributes; and code, in the form of procedures, often known as methods. The most popular ones are class-based, meaning that objects are instances of classes, which typically also determine their type.



Many of the most widely used programming languages such as C++, Object Pascal, Java, Python etc. are multi-paradigm programming languages that support object-oriented programming.

The core of the pure object-oriented programming is to create an object, in code, that has certain properties and methods. While designing C++ modules, we try to see whole world in the form of objects.

For example a car is an object which has certain properties such as color, number of doors, and the like. It also has certain methods such as accelerate, brake, and so on.


Ø Concepts Of OOP:-



·          Object-
This is the basic unit of object oriented programming. That is both data and function that operate on data are bundled as a unit called as object.

·                Class-

When you define a class, you define a blueprint for an object. This doesn't actually define any data, but it does define what the class name means, that is, what an object of the class will consist of and what operations can be performed on such an object.


·                Abstraction-

Data abstraction refers to, providing only essential information to the outside world and hiding their background details, i.e., to represent the needed information in program without presenting the details.
For example, a database system hides certain details of how data is stored and created and maintained. Similar way, C++ classes provides different methods to the outside world without giving internal detail about those methods and data.

·                Encapsulation-

Encapsulation is placing the data and the functions that work on that data in the same place. While working with procedural languages, it is not always clear which functions work on which variables but object-oriented programming provides you framework to place the data and the relevant functions together in the same object.

·                Inheritance-

One of the most useful aspects of object-oriented programming is code reusability. As the name suggests Inheritance is the process of forming a new class from an existing class that is from the existing class called as base class, new class is formed called as derived class.
This is a very important concept of object-oriented programming since this feature helps to reduce the code size.
There are few types of inheritance, which are as follows:
Single inheritance
Multi-level inheritance
Multiple inheritance\
Hierarchical inheritance
Hybrid inheritance.

·                Polymorphism-

Polymorphism is the ability of an object to take on many forms. The ability to use an operator or function in different ways in other words giving different meaning or functions to the operators or functions is called polymorphism. Poly refers to many. That is a single function or an operator functioning in many ways different upon the usage is called polymorphism.

There are types of  polymorphism which are as follow:

§  Compile-time

§  Run-time


 

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Friday, 11 August 2017

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