Rajashekar KankanalaRajashekarKankanalaTuts RajaNTR ColonyHyderabad, Telangana,500087India9110760272//www.tutsraja.com/

22 September, 2019

Mobile Security Apps Android

Top 10 Social Media Sites

Security is freedom from unwanted change, or against, the potential harm caused by others.

Mobile security is the protection of portable computing devices. If mobile connect to networks threats and vulnerabilities associated with wireless computing. Mobile security is also known as wireless security.

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1. Avast Antivirus:

Avast Antivirus

Avast is a great Android phone app to provide protection against viruses and many other threats.

It is the most trusted free antivirus for Android which alerts you when spyware, adware get installed and violate your privacy.

This app is now free with ads. You can remove ads paying a monthly or yearly premium<.

The free version includes app locking, a call blocker, firewall and even an anti-theft measure allowing you to lock or wipe your Android device remotely. It has advanced features like SIM security, camera trap, etc.

Pros:
  • Call blocking
  • Anti-theft feature
  • It shows how much time spent on each app.
  • Junk cleaner for wiping cache and residual files
  • Photo vault for securing
  • photographs against unwanted access
  • Web shield for safe web browsing
Cons:
  • Ad supported

2. NoRoot Firewall:

NoRoot Firewall

Android apps might be using mobile data unnecessarily and eating up your data.

NoRoot Firewall has control of Internet access to the apps. You can use without rooting your device.

You can check internet access permissions of each individual app. The app restricts the access of Internet wifi data or mobile data.

If you don’t want to root your device but want a firewall, use NoRoot Firewall.

Pros:
  • Enable mobile data or wifi or neither or both.
Cons:
  • Ad supported

3. Permission Manager:

Permission Manager

It is the best for permission manager that can help to track or manage permissions.

You can restrict dangerous permissions which app requested.

Grant or deny app permissions for each application which is not required.

Pros:
  • Quick access to special permission.
  • Display granted permission when opening an application.
Cons:
  • Ad supported

4. AppLock :

AppLock

App Lock is the security of mobile applications from unauthorized access. Users to put pin or pattern to access the app.

You can put a lock on your SMS, Contacts, Gmail or for that matter, any app.

Do not confuse with an app lock and main lock. Built-in main lock puts a lock on your device. Nothing can be accessed.

App Lock is used to lock the apps that you have selected.

Pros:
  • Lock any app.
Cons:
  • Not 100% secure.

5. LastPass:

LastPass

Remembering passwords these days is quite tricky with users having multiple accounts online and each account having a different password.

LastPass is one of the best password managers available in the market which allows you to store passwords of your numerous accounts with extra layers.

You can access all of your passwords through the internet from any device.

Encrypted by a secret master password, all you need to remember is one LastPass password to access all of your passwords.

Pros:
  • One encrypted place of your passwords.
Cons:
  • All of your accounts in danger if someone accessed.

6. Authenticator:

Authenticator

Google Authenticator generates codes to access your high-security accounts i.e 2 step verification.

2-Step Verification provides stronger security for your online accounts that may be Google, facebook, amazon etc.

Each account requiring a second step of verification when you sign in. You need to enter generated codes to access a particular account.

2 step verification is nothing but In addition to your password.

Pros:
  • Generates code without a data connection.
  • It works with accounts.
  • Automatic setup via QR code
Cons:
  • Setup requires user accounts (dependent).

7. Find My Device

 Find My Device

Android Device Manager allows you to ring, find, lock, your Android device remotely.

It also allows you to wipe the device’s entire data if it by any chance it gets permanently out of your reach.

Find my device is easiest to set up and allows you to log in via someone else’s Android device manager and wipe data off your mobile.

Pros:
  • Access your mobile remotely.
Cons:
  • Internet is required to access.

8. Signal Private Messenger:

Signal Private Messenger

There are many secure messaging apps. However, most of them work only if both users use the same app.

However, Signal Private Messenger allows you to add an extra layer of security to regular SMS text messages even if one of the users is not using Signal Private Messenger. It is developed by Open Whisper System.

If you want an end to end encryption for your regular SMS’, Signal Private Messenger is undoubtedly the best app in the market.

Pros:
  • Complete SMS app replacement.
  • Open Source
  • end to end encryption which means that nothing is stored on it
  • Servers encrypt messages even other side users are not using this app.
Cons:
  • Encrypted voice isn't a full replacement feature.

9.ProtonMail:

ProtonMail

ProtonMail is an encrypted email service. End to end encryption virtually impossible for unauthorized to read it except the sender and the recipient.

It is the world’s largest end to end encrypted email service with millions of users.

It has innovative features modern user interface, customizable swipe gestures.

You can send automatic expiring emails i.e. self-destruction with timer.

Pros:
  • End-to-end encryption.
  • Easy-to-use
  • Open Source
  • ProtonMail is 100% free.
  • No catches.
  • Timers for self-destruction message after sending
  • Quickly organize emails.
  • Send password protected encrypted emails.
Cons:
  • All mails locked no way to access if you forgot password.

10. Dont Touch My Phone:

Dont Touch My Phone

Don't Touch My Phone is an android app used for Theft Alarm.

This application protects your mobile phone from lifting or using unknown people.

It will notify you if someone will try to open your mobile secretly without your permission. This alarm keeps the mobile safe from thefts.

How to Use:

Click Start to activate. then Anti-theft Alarm starts in the background. If someone touches, You will be notified.

Pros:
  • Different types of alarm sounds
  • Password is required to activate or deactivate the alarm.
Cons:
  • Time delay for alarm sound.

15 August, 2019

Social Media Sites List

Top 10 Social Media Sites

Social network sites came for users because people always looking to connect with each other on the internet.

Now trend is changed. The relationships begin online, grow and end online on social media. People connected in online, not in the physical world, now no longer need handshake or face to face interactions.

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1. Facebook:

Facebook

Facebook is the most widely used network. It is the biggest social media network on the internet and continues to be the number one in the world. It is said to have 2.32 billion monthly users and 2 billion active monthly users as of December 2018.

Facebook was Founded on February 4, 2004. It was the first social network exceeds 1 billion user accounts, That’s almost a third of the world’s population.

Facebook is using to share content, business, and advertising. It’s easy to create and manage a Facebook account.

It supports all content to share on facebook i.e. text, images, videos, live videos, and Stories. Facebook algorithm prioritizes content to show customized feed. 94 percent of users access Facebook via the mobile Android or IOS app.

Note: Recently Facebook has lost the trust of users by allowing third parties to access personal data.

Visit website: SignUp/SignIn

Pros:
  • Share content with others
  • Easy communication to keep in touch
  • Build your Journal
  • Easy setup
  • Enhance your social skills
  • Facebook for business
  • Receive news and information
Cons:
  • Time-wastage
  • Privacy issues
  • Freedom of expression
  • Cyber bullying
  • Target advertising
  • Very addictive and Fake profiles
  • Identity theft
  • Annoying adverts
  • Frequent updates

2. Twitter:

Twitter

Twitter enables users to tweet short text messages. In twitter, message is nothing but tweets, containing a limited number of characters up to 140. It is used to convey your message to the world.

Twitter has 320 million active monthly users using 140 characters to pass information on social media. It allows users to promote your businesses and even shop directly through tweets.

Twitter has approximately 320 million users. Twitter founded on 21, March 2016 and headquarters located in San Franciso, California.

Twitter is a social media network and real-time public microblogging for sharing news, entertainment, sports, politics information and more. It has a strong emphasis on real-time information and things that are happening right now.

Twitter has increased 140 characters to 280 characters. Now we can share more information at a time. According to advertisers on Twitter, more than 80 percent of social customer service requests happen on Twitter.

Visit website: SignUp/SignIn

Pros:
  • Very large community.
  • Easy to use.
  • Get updates from major brands.
  • Integrates with third-party services.
Cons:
  • Can feel disorganized.
  • Not easy to find specific people.
  • Difficult to develop followers.

3. LinkedIn:

LinkedIn

Linkedin is a social network platform that is mainly used by business professionals and is now owned by Microsoft. It has more than 500 million users as of January 2018. It has 100 million active users approximately.

Linkedin is founded on December 14, 2002, and launched on May 5, 2003. It is one of the most popular networks for business professionals. The website is available in 24 languages.

It is used to connect with people in similar industries, local professionals, and displaying business related information.

LinkedIn also offers advertising opportunities, such as boosting your content, sending personalized ads to LinkedIn inboxes, and displaying ads by the side of the site.

Linkedin profiles are designed to cover all details of resume. LinkedIn is now more than finding jobs with resume. It is a social media site where industry experts share content and build their personal brand.

Anyone can make connections and improve their career on LinkedIn. Making connections is on LinkedIn means promoting themselves or their business with other professionals by group discussions, posting job ads, applying to jobs, and publishing articles.

Visit website: SignUp/SignIn

Pros:
  • Easy to make new connections.
  • Simple to find people you know.
  • Well organized website.
Cons:
  • Too much information at times.
  • Frequent messages from marketers.

4. Pinterest:

Pinterest

Pinterest is a social network and the content is added in the form of pins. It has 200 million users as of January 2018.

Pinterest is a place to discover new things to be inspired. It is different from other social media sites and engagement is the primary focus.

According to Pinterest, most of the content is from the brands. Here is a unique opportunity to take their purchasing decisions and inspired to try or buy new things, having a presence on Pinterest.

Pinterest was launched in March 2010. Pinterest crossed 100 million users in September 2015. Most of the users are females and more than half active users are females.

Pinterest is a photo sharing and visual bookmarking social media site that enables you to find new ideas. It plays a major role in social networking and in the search world. It is a beautiful and intuitive pinboard-style platform.

Visit website: SignUp/SignIn

Pros:
  • Very entertaining to use.
  • New ideas to discover.
  • Loaded with inspiring messages.
  • Intuitive interface.
Cons:
  • Loaded with affiliate posts.
  • Limited range of topics
  • Can get cluttered.

5. Myspace

Myspace

Myspace is a social network platform for individuals. It was a top social network in the U.S. Now. It is popular with musicians and bands.

Myspace has only had a few million users. The active users of myspace are 20 million approximately. It is a music-focused social media network.

Visit website: SignUp/SignIn

Pros:
  • The music player
  • Changeable backgrounds.
  • You always had 1 friend.
Cons:
  • You could have a top 8 or 10.

6. VK:

VK

VK is similar to Facebook. It is more popular and one of the largest social networking platform in Russia and neighboring countries.

It has over 400 million users and 100 million active users per month. It has quite similar features to Facebook.

Visit website: SignUp/SignIn

Pros:
  • can be used as a dating service system
  • makes it easier to join groups.
  • Private group messages.
Cons:
  • complete detachment from reality;
  • subtraction mass time from other.
  • acquaintances are labeled as friends
  • weakening long distance relationship
  • Less functional search engine for new friends.

7 Tagged:

Tagged

Tagged is a social media network for making new friends. It has 20 million unique visitors all over the world.

It is a great social media platform based on friendship and dating. It enables you to socialize with others through games, browsing profiles, common interests and so on.

Visit website: SignUp/SignIn

Pros:
  • Meet New people
  • Large user database
  • Connect local people easily
  • It has mobile app match game
  • It has all the traditional features of the standard social media network.
  • Play Games
  • Live streaming.
Cons:
  • Most of the people look for romantic connections, which may not be everyone.
  • Many Ads
  • It has some spam.
  • By default it is public. You can change later.
  • Not much security.
  • Layout Is not good on the desktop.

8. hi5:

Hi5 is one of the oldest Social networks. It is popular in Asia, Eastern Europe, and African countries. It has 80 million users approximately.

Visit website: SignUp/SignIn

Pros:
  • It is Free
  • Large User Base
  • A lot of games Games
Cons:
  • Not Solely a Dating Site

9. MeetMe:

MeetMe

Meetme is social media network helps users to discover new people to chat with on mobile. It has 2.5 million active users.

The meet my main aim is to find new friends and chat with them. It is highly popular among teens and young people.

Visit website: SignUp/SignIn

Pros:
  • Ingenious feed
  • It is Free
  • A lot of Games
  • It has a mobile app
  • Send and Receive Messaged
Cons:
  • Limited Search Feature
  • Not As Detailed Profile Information

10. Twoo:

Twoo

Twoo is a social media platform for discovery. It allows users to upload pictures, and chat with other users. It has 181 million users created their profiles.

Visit website: SignUp/SignIn

Pros:
  • the fastest growing place to meet new people
  • quick matching
Cons:
  • shallow search system. ineffective customer support. ineffective spam-filters and fake profile
  • It has been spamming people for over a year.

Shutting Down Social Media Services:

1. Google+ :

Google+

Google+ is a social network developed by Google and has around 150 million users as of January 2018. It has more than 100 million active users.

At the time of no twitter, facebook, or LinkedIn Google+ was the popular social media network.

It is interest-based social networking platform enables you to stay in touch with people by sharing messages, photos, videos, useful links to sites and so on.

It also supports video conferencing through hangouts and allows businesses to promote their brands through google plus business pages.

Note: Now Google+ services are shutting down.

Visit website: SignUp/SignIn

Pros:
  • Google+ Hangouts
  • Search Engine Optimization
  • Gmail Integration
  • Circles
  • Communities
  • YouTube Integration
  • Google Authorship
Cons:
  • Similarities to Facebook
  • Limitations of SEO
  • No Contests or Promotions
  • Lack of Market Share

Last Updated: 29 March 2019

08 August, 2019

Civilian Awards in India

Civilian Awards in India

Award

An award is given to a person, a group of people, or an organization in recognition of their excellence in a certain field.

Award is recognition given in honor of an achievement in any field. Prize or Certificate is given for doing something well.

1. Bharat Ratna:

Bharatha Ratna

It is the most prestigious and highest civilian award in India. The award is given in recognition of exceptional service/performance of the highest order without distinction of race, occupation, position, or sex.

Bharat Ratna award was earlier conferred for performance in categories like arts, science and literature. In Dec 2011 government of India changed the criteria for nomination as any field of human Endeavour.

The recommendation for nomination is made by Prime Minister of India and is sent to President. President is the final authority to select the winner out of maximum 3 recommendations/suggestions given by Prime Minister.

In a special ceremony held in April 1958, Dhondo Keshav Karve was awarded on his 100th birthday. Dhondo Karve was famous social activist and reformer. He was popularly known as Maharishi Karve. Queen’s road in Mumbai was renamed to Dhondo Keshav Karve.

Lal Bahadur Shastri was the first person to be awarded posthumously. Jawaharlal Nehru and Indira Gandhi were the only Prime Ministers who recommended their own names for this award.

The bharat ratna awarded to one naturalized citizen i.e. mother Teresa. The bharat ratna awarded to two non Indians, Pakistan national khan Abdul Ghaffar Khan and former South African President Nelson Mandela.

Important Points:
  • Front: An image of the Sun along with the words Bharat Ratna, inscribed in Devanagari script, on a peepal (Ficus religiosa) leaf.
  • Back: A platinum State Emblem of India placed in the centre with the national motto, Satyameva Jayate (Truth alone triumphs) in Devanagari script.
  • Established: The award was started by former President of India Rajendra Prasad on 2nd January, 1954.
  • Presented by: President of India
  • Benefits: No cash or monetary benefits.
  • First Awarded: C. Rajagopalachari, Sarvepalli Radhakrishnan, C.V.Raman in 1954
  • Total Awards: 48 till 2019

Padma Awards

Padma awards are given in three types.

  • 1. Padma vibhushan
  • Padma bhushan
  • Padma shri

Padma awards are one of the highest civilian honors of India announced annually on the eve of the republic.The recommendations for Padma Awards are received from the State Governments/Union Territory Administrations, Central Ministries/Departments, Institutions of Excellence, etc. which are considered by the Awards Committee.

On the basis of the recommendations of the Awards Committee, and after approval of the Home Minister, Prime Minister and President.

However, Government servants including those working with PSUs, except doctors and scientists, are not eligible for these Awards. The Padma Awards Committee is constituted by the Prime Minister every year.

The total number of awards to be given in a year (excluding posthumous awards and to foreigners) should not be more than 120.

He Awards are announced on 26th January every year and are presented by the President of India in an awards presentation ceremony held at Rashtrapati Bhavan. The ceremony is generally held in the month of March/April.

The award does not amount to a title and cannot be used as a suffix or prefix to the awardees’ name on letterheads, invitation cards, posters, books etc. In the case of any misuse, the awardees will forfeit the award.

No cash allowance or any facility/benefit in terms of concession etc. in rail/air travel is attached to these awards. Padma Awards are given for exceptional and distinguished service in any field including service rendered by Government servants. Presidential Notification issued on January 8, 1955 for padma awards.

On its observe the words padma meaning lotus in Sanskrit and shri a Sanskrit derived honorific equivalent to mr or ms. The award seeks to recognize achievements in all fields of activities or disciplines where an element of republic service is involved.

The award announced every year on republic day but excepted years 1977, 1980, 1993, and 1997. The padma awards do not include any benefits i.e. cash allowances, special concessions in rail or air travel. This includes any such use on letterheads, invitation cards, posters, books etc.

2. Padma vibhushan:

Padma vibhushan

It is the 2nd highest civilian award of the republic of India. The award is given for exceptional and distinguished service without distinction of race, occupation or position or sex.

The award is given in any field including government servants including doctors and scientists but excluding those working with the public sector understanding.

Important Points:
  • Previous name(s) : Padma Vibhushan "Pahla Varg" (Class I)
  • Established : 1954
  • Front: A centrally located lotus flower is embossed and the text "Padma" written in Devanagari script is placed above and the text "Vibhushan" is placed below the lotus.
  • Back: A platinum Emblem of India placed in the centre with the national motto of India, "Satyameva Jayate" (Truth alone triumphs) in Devanagari Script
  • First awarded: Satyendra Nath Bose, Nandalal Bose, Zakir Husain
  • Total awarded: 307

3. Padma Bhushan:

Padma bhushan

It is the 3rd highest civilian award in India. the award is given for distinguished service of a high order without distinction of race occupation, position, or sex. As of 2018 the award has been conferred on 1240 individuals, including 10 posthumous and 94 non citizen recipients.

Important Points:
  • Previous name(s) : Padma Vibhushan "Dusra Warg" (Class II)
  • Front: A centrally located lotus flower is embossed and the text "Padma" written in Devanagari script is placed above and the text "Bhushan" is placed below the lotus.
  • Back: A platinum India placed in the centre with the national motto of India, "Satyameva Jayate" (Truth alone triumphs) in Devanagari Script
  • Established: on 2 January 1954.
  • First Awarded: Homi Jahangir Bhabha, Shanti Swaroop Bhatnagar, Mahadeva Iyer Ganapati
  • Total Awards: 94

4. Padma Shri:

Padma shri

It is the fourth highest civilian award. It recognizes the contribution of Indian citizens in various spheres of activity including arts, education, industry, literature, science, sports, social service and public life.

In 1960s mg ramachandran refused to accept the award in hindi. A centrally located lotus flower is embossed and the text padma written in devanagari script is placed above and the text shri is placed below the lotus.

Important Points:
  • Front: A centrally located lotus flower is embossed and the text Padma written in Devanagari script is placed above and the text shri is placed below the lotus.
  • Back: A platinum Emblem of India placed in the centre with the national motto of India, Satyameva Jayate (Truth alone triumphs) in Devanagari Script
  • Previous name(s) : Padma Vibhushan "Tisra Warg"
  • Established:1954
  • First awarded: Asha Devi Aryanayakam, Bir Bhan Bhatia. Perin Captain
  • Total awarded: 2840

Remember Awards with Order

Trick 1: Counting Characters.

Bharath Ratna - You can remember easily
Padma Vibhushan - 14
Padma Bhushan - 12
Padma Shri - 9
Remember - Decending oder numbers.

Trick 2: Story

Bharath Ratna - Ra
Padma Vibhushan - Vi
Padma Bhushan - bhu
Padma Shri - sh

Remember - Ravi Bhush

Video for Telugu Audience


Rajashekar KankanalaRajashekarKankanala
Tuts Raja
NTR Colony
Hyderabad,Telangana,500087India
9110760272
http://www.tutsraja.com/

01 August, 2019

List of National Awards in India

List of National Awards

An award is a prize or certificate that a person is given for doing something well in any field. Awards are different types, depends on the field of work.

The award was given for outstanding contribution towards in the field of arts, literature, science and public service. Padma awards are given exceptional and distinguished service in any field.

Bharat Ratna is the highest civilian award in India. Gallantry awards are given for the brave and gallant people etc.

List of National Awards

S.NoAwardField of Contribution
1.Bharat RatnaArts, Literature, Science and Public Services
Padma Awards
2.Padma VibhushanExceptional and distinguished service.
3.Padma BhushanDistinguished service of a high order.
4.Padma ShriExceptional and distinguished service in any field.
Gallantry Awards
5.Param Vir Chakra (PVC)Distinguished acts of valour during wartime.
6.Ashok ChakraValour, courageous action or self-sacrifice away from the battlefield.
7.Shaurya ChakraValour, courageous action or self-sacrifice while not engaged in direct action with the enemy.
Important Indian Awards
8.Nobel PrizeLiterature, Medicine, Physics, Chemistry, Peace, and Economics
9.Karbir SammanSocio Communal Harmony
10.Saraswati SammanPoetry literary works in any 22 Indian language listed in Schedule VIII of the Constitution of India
11.Sangeet-Natak Akademi AwardMusic, dance and Drama
12.Vachaspati SammanSanskrit Literature
13.Vyas SammanLiterature
14.Moorti Devi Award
15.Jnanpith award
16Bihari Puraskar
17.Dadasaheb Phalke AwardCinema/Films
18.Dhyan Chand Awardveteran sports persons
19.Rajiv Gandhi Khel Ratna Awardsports person
20Arjuna Award
21Dronacharya AwardEminent coaches
22Shanti Swarup Bhatnagar PrizeScience & Technology
23Dhanwantari AwardMedical Science
24International Gandhi Peace PrizeSocial, Economic and Political revolution
25Lal Bahadur Shastri National AwardPublic Administration, Academics and Management
26Sahitya Akademi AwardBooks in Indian Languages and English.
Other Awards
1BAFTA AwardsTelevision, Films, Video Games and Animation
2Bourlog AwardAgriculture
3Pritzker PrizeArchitecture
4The Oscar/Academy AwardsFilms
5Booker PrizeLiterature
6Stirling PrizeArchitecture
7Aga Khan Award
8Kalinga PrizeScience
9Grammy AwardMusic
10Abel PrizeMathematics
11Green Star AwardsEnvironmental disasters
12Magsaysay AwardPublic Service, Leadership, Journalism, Literature,creative arts and international understanding.
13Pulitzer PrizeNewspaper and Online journalism, Literature, and Musical composition
14Manthan AwardE-Content and Creativity
15FiFi AwardsIndustry’s creative achievements

Check Your Score

Rajashekar KankanalaRajashekarKankanala
Tuts Raja
NTR Colony
Hyderabad,Telangana,500087India
9110760272
http://www.tutsraja.com/

12 July, 2019

Classification of Numbers

Classification of Numbers

An arithmetical number can express by a word, symbol, or figure. Those are representing a particular quantity and used in counting, measuring and making calculations.

We covered almost all number classifications for Competitive exam point of view. These number classifications are necessary to learn for numerical aptitude.

Decimal Number:

Decimal number contains decimal point. Decimal point is .

Example: 27.45

Digit:

Classification of number system 0, 1, 2,3,4,5,6,7,8 and 9 symbols are called digits.

Example:0,1,2,3,4,5,6,7,8,9.

Number:

Group of digits is called as a number.

Example: 21, 456, 1244, 25734 etc

Face Value:

Face value is nothing but actual value of the digit.

Example: 458
Face value of 4 is 4
Face value of 5 is 5
Face value of 8 is 8

Place Value:

When the value contains digits that is number, such digits counting is units, tens, hundreds, thousands…etc

Example: 342
The place of 2 is units. Place value of 2 * 1 = 2
The place of 4 is tens. Place value of 4 * 10 = 40
The place of 3 is Hundreds. Place value of 3 * 100 = 300

Natural Numbers (N):

Counting numbers without zero is called natural numbers. Natural numbers does not contain zero. Natural numbers denoted by N

Formula: n > 0

Example: 1,2,3,4,5,6,7,8,9,10,11,12…

Whole Numbers (W):

Counting numbers with zero is called as whole numbers. Whole numbers denoted by W.

Formula: n ≥ 0
Whole numbers = Natural numbers + zero

Example: 0,1,2,3...

Also Read:
 Speed Addition Tricks

Integers(Z):

Counting Numbers with zero and –ve numbers is called as integers. All integers are fractions. Not all fractions are integers. Integers denoted by Z

  • Positive Integers: n > 0; [1, 2, 3...]
  • Negative Integers: n < 0; [-1,-2,-3...]
  • Non-Positive Integers: n ≤ 0; [0,-1,-2,-3...]
  • Non-Negative Integers: n ≥ 0; [0, 1, 2, 3...]

Formula: n ≥ 0 or n ≤ 0
Integers = Whole numbers + the negative of the whole numbers.

Example: ….3,-2,-1, 0,1,2,3...

Rational Numbers (Q):

Rational numbers nothing but fraction of real number. Rational numbers denoted by Q. Fractions can be written as a terminating decimal or a repeating decimal.

Example: 22/7, 45/6…

Formula: m/n remainder is not zero
Rational numbers = Integers + fractions

Irrational Numbers (P):

irrational number is a number that perfectly divisible by itself. Irrational Numbers is denoted by P.Irrational numbers are numbers that cannot be written as a fraction. Another way to see them is that they are neither repeating decimals nor terminating decimals.

Example: 22/2, 45/5…

Formula: m/n remainder is zero

Real Numbers(R):

Collection of rational and irrational numbers called as real numbers. Real number is denoted by R.

Example: 22/2, 45/5, 22/2, 45/5…

Formula: m/n
Real numbers = rational numbers + irrational numbers

Even Numbers:

A number perfectly divisible by 2 is called as even number. Alternative numbers from zero is also called as even numbers.

Example: 0, 2, 4,6,8,10,12…

Formula:n / 2 = 0

Odd Numbers:

A number not perfectly divisible by 2 is called as odd number.

Example: 1, 3,5,7,9…

Formula: n / 2 ≠ 0

Prime Numbers:

Numbers which is divisible by itself and 1 is called as prime numbers. 1 is not a prime number.

Example: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 71, 73, 79, 83, 89, 97

1Q: How to check 157 is prime number or not?
Solution:
Step 1 : 13 > √157
Step 2 : Prime numbers less than 13. So less than 13 prime numbers are 2, 3, 5, 7 and 11.
Step 3 : 157 is not divisible by any prime numbers (below 13).
Result : Finally 157 is a prime number.

Formula: n/n, n/1

Composite Numbers:

non prime numbers are called composite prime numbers. 1 is neither a prime number nor a composite number. 2 is the only even prime number.

Example: 4, 6, 8, 9….

Formula: Natural numbers- prime numbers

Co-Primes Numbers:

Two natural numbers are co-primes if their H.C.F. is 1. For example, (2, 3), (4, 5) are co-primes.

Example: (2,3), (4,5),(4,9), (21,44)..

Formula: 2 number H.C.F is 1

Twin prime numbers:

A pair of prime numbers difference is two are called twin prime number.

Example: The twin prime numbers between 1 and 100.
(3, 5), (5, 7), (11, 13), (17, 19), (29, 31), (41, 43), (59, 61), (71, 73).

Formula: n2-n1=2

Consecutive numbers:

If the difference between two numbers is 1, it is called as consecutive number.

Formula: x, x+1, x+2

Example: 16,17,18,19

Consecutive even numbers:

if the difference between two numbers is 2, it is called as consecutive even numbers.

Formula: x, x+2, x+4

Example: 16, 18, 20

Consecutive odd numbers:

if the difference between two numbers is 2, it is called as consecutive odd numbers.

Formula: x, x+2, x+4

Example: 17, 19, 21

Complex Number:

A Complex Number is a combination of Real Number and Imaginary Number. Complex number is denoted by Im(z).

Formula: a + bi
a, b real numbers
I imaginary number.

Example: √(-7), √(1-8), √(-25) = 5i, etc...

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