## Area and Perimeter Formulas with Examples Part- 2

In this article, we will learn about successive percentage change, it deals with two or more percentage changes in a quantity consecutively.
Why this isn’t the simple addition of two percentage changes?
Successive Percentage Change: If there are percentage changes of a% and b% in a quantity consecutively, then total equivalent percentage change will be equal to the (a + b + \frac { ab }{ 100 } )%.

### Example1:

There is two outlet, one is offering a discount of 50%+ 50% and other is offering a discount of 60% + 40%. At which outlet, one must visit so that she gets more discount?
Solution: Case1: 50%+ 50%
Total discount = -50 + -50 + \frac {-50\times -50  }{ 100 }  = -100 +25 =-75% ⇒ 75% discount

## Area and Perimeter Formulas with Examples

Area: - Total space enclosed by the boundary of a plane.
Perimeter: - Length of the border around any enclosed plane.

## Triangle:

A figure enclosed by three sides.

### Equilateral Triangle:

It has all three sides equal and each angle equal to 60º.
Area = \frac { \sqrt { 3 }  }{ 4 } a ^{ 2 }
Height = \frac { \sqrt { 3 }  }{ 2 } a
Parameters = 3a
Where a = Side of the triangle.

## Simplification Basic Concepts with Examples

Simplification is very easy and important topic according to banking, SSC and other govt. exam perspective. Simplification is based on basic math calculations and some other algebraic topics. Simplification is less time consuming and having higher accuracy.

Basic Topics on which Simplification is based on:
• BODMAS rules
• Approximation
• Percentage
• Squares
• Cubes.

### Simplification Tricks and Techniques:

Simplification is converting or finding the missing values from the long and complex expressions using the basic BODMAS rules where:
B → Stands for bracket and operation of brackets in the order ( ), { } and [ ]
O → Stands for ‘of’ (usage as ✕)
D → Stands for Division (/)

## How to solve Averages Questions Quickly

Today we will discuss first basic Arithmetic Mathematics topic which is very important according to our Govt. exams perspective.

### Basic Definition

• Average means a number expressing the central value in a set of data which is calculated by the sum of values in the set by their numbers.
• The main term of average is equal sharing of values among all, where it may share persons or things.

### Formula

We obtain the average of a number using the formula that is:
Average = (Sum of observations / Number of observations)

## Ratio and Proportion: Concepts and Tricks

The ratio is defined as the quantitative relation between two values showing the number of times one value contains or is contained within the other.
The ratio in the mathematical term used to compare two similar quantities expressed in the same units.
The ratio of two numbers ‘x’ and ‘y’ is denoted as x:y

Note: Fractions and ratio are same but the only difference is that ratio is unit less quantity but fraction is not.

### Basics Properties of Ratio

• A:B = mA : mB where m is constant
• a:b:c = A:B:C is equivalent to \frac { a }{ A } = \frac { b }{ B } = \frac { c }{ C }
• This property has to be used in the ratio of three things
• The inverse ratios of two equal ratios are equal. This property is called invertendo.
• If \frac { a }{ b } =  \frac { c }{ d } then  \frac { b }{ a } = \frac { d }{ c }
• The ratio of antecedents and consequents of two equal ratio are equal. This property is called Alternendo.
• If \frac { a }{ b } =  \frac { c }{ d } then  \frac { a }{ c } = \frac { b }{ d }

## Percentages Concepts and Formulae

Percentage means out of 100. We can easily convert any fractional and decimal value into the percentage. The percentage is a very important topic for Bank PO, Bank Clerk, SSC, Railways etc.
The percentage is also a very important topic for Data interpretation, Simplification and for other Quants Arithmetic topics.

### Convert Decimal value into Percentage:

To convert decimal value into percentile value simply multiple the decimal numbers by 100 and it will be converted into percentile value.
Examples:1. Convert 0.65 into percentage0.65\times100 = 65%
2. Convert 4.05 into percentage4.05\times100 = 405%

## How to find Cube Root of a Number Quickly

Learn shortcut trick to find Cube Root of any number within 5 seconds. 2 Steps method to learn how to find Cube Root of any number.

### Always Remember Some Basic Cubes

 1^{ 3 } = 1 16^{ 3 } = 4096 2^{ 3 } = 8 17^{ 3 } = 4913 3^{ 3 } = 27 18^{ 3 } = 5832 4^{ 3 } = 64 19^{ 3 } = 6859 5^{ 3 } = 125 20^{ 3 } = 8000 6^{ 3 } = 216 21^{ 3 } = 9261

## Tricks for Square Root

### Trick 1.

Square root for 21904:
Number     Split as
21904        219 | 04
Split the number keeping the last 2 digits aside

## SBI-PO Study Plan: Reasoning section

SBI-PO MCQ exam is divided into four sections:
General Awareness - 50 ques
Data Interpretation - 50 ques
Reasoning - 50 ques
English - 50 ques

Today I will cover only Reasoning section thoroughly and soon I will cover other sections too. For SBI-PO and SSC too, reasoning is a scoring subject. So you should leave this section and try to cover its topics first and then proceed to other sections.

## Reasoning

In reasoning section, the major part is of verbal topics like inference conclusion, sullogism, data sufficiency etc. From last few years the weightage of section is almost same. Just little changes. Analyze it thoroughly and try to make your study plan accordingly.

## Important Questions of Mensuration: Quantitative Aptitude

Mensuration is one the toughest topic of quantitative aptitude section. The only thing is it takes time to analyze the question. Rest is just clarification and formula learning ability of candidate. This chapter is a part of quantitative aptitude section of SSC CGL and SBI PO. Today I will discuss some questions related to basic terms of mensuration.

### Examples with Solution

Example1: What will be the area and perimeter of triangular plot whose sides are 17 m, 8m and 15m long?

Solution: Firstly, we will check which kind of triangle it is.
Since, 8^2 + 15^2 = 17^2.......  (H^2 = P^2 + B^2)
64 + 225 = 289 = 289
Therefore, given triangle is a right angle triangle with:
Hypotenuse = 17^2
Base or Perpendicular = 8 or 15