#NumberSystem

[meatcumputer]

[sunbeaminfo]

Number System Convertion :- Shortcut methods to convert Binary, Octal and Hexadecimal Number System

1) To convert Binary to Octal we need to make binary numbers in group of Three (3) bits starting from LSB, and convert that binary groups to its equivalent. 2) To convert Binary to Hexadecimal we need to make binary numbers in group of Four (4) bits starting from LSB, and convert that binary groups to its equivalent. 3) To convert Octal to binary write binary equivalent of each octal number using Three (3) bits. 4) To convert Hexadecimal to binary write binary equivalent of each Hexadecimal number using Four (4) bits.

[logicxonomy]

How to find the number of divisors

In this article, we will explore the divisor concepts, including the number of factors, prime factors, and the fascinating properties of the sum and product of factors. By understanding these concepts, you will gain valuable insights into the relationships between numbers and unlock the secrets hidden within their divisors.

The divisor or factor of any number divides it without leaving any remainder. For example, let’s consider the number 12. The divisors or factors of 12 are 1,2,3,4,6 and 12.

To find the total number of divisors of any number, we use the prime factorization method given below.

For example, the prime factorization of any number (N) is p^a×q^b×r^c, Here p,q, and r are the prime numbers (2,3,5,7,11,…etc.) and a,b, and c are their respective exponents.

The total number of divisors of N= (a+1)×(b+1)×(c+1)

Example: Find the number of divisors of 360

360=2³×3²×5¹

The number of factors= (3+1)×(2+1)×(1+1)=24

24 factors= {1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360}

Que 1: Find the number of prime factors of 360.

Solution: Three Prime factors={2,3,5}

Que 2: Find the number of odd factors of 360.

Solution: Remove 2³ from the prime factorization

Remaining Part= 3²×5¹

Number of odd factors= (2+1)×(1+1)=6

Que 3: Find the number of even factors of 360.

Solution: 360=2³×3²×5¹=2×[2²×3²×5¹]

Even Factors= 2K

K=2²×3²×5¹

Number of even factors= (2+1)×(2+1)×(1+1)=18

Que 4: Find the number of factors of 360 that are divisible by 12.

Solution: 360=2³×3²×5¹=2²×3×[2¹×3¹×5¹]

Required factor=12K

K=[2¹×3¹×5¹]

Number of required factors= (1+1)×(1+1)×(1+1)=8

Que 5: Find the number of factors of 360 which are perfect squares.

Solution: 360=2³×3²×5¹

Possible pairs={(2⁰, 2²)×(3⁰, 3²)×(5⁰)}

Number of required factors= 2×2×1=4

— — — — — — — — — — — — — —

Click the given link for more details

Telegram Channel: Logicxonomy

[teacherswala]

Number System | Class 9 Maths | Chapter 1 | Introduction Part 1 | NCERT

[cattutorialsblogs]

STRUCTURE OF CAT EXAM

The Common Admission Test (CAT) is a online-primarily based examination that is conducted annually with the aid of the Indian Institutes of Management (IIMs) for admission into control programs provided by pinnacle business colleges in India. The CAT examination is designed to test a candidate's aptitude, hassle-fixing skills, and logical reasoning competencies which you can prepare with the best CAT Best Online Coaching. In this text, we will talk the shape of the CAT examination in detail.

The CAT exam is divided into three sections:

Verbal Ability and Reading Comprehension (VARC)

Data Interpretation and Logical Reasoning (DILR)

Quantitative Ability (QA)

The exam is conducted in English, and applicants are given a hundred and twenty mins (40min each segment) to finish the check. The general wide variety of questions in the CAT exam varies each yr, and the exam is carried out in three periods.

Section 1: Verbal Ability and Reading Comprehension (VARC) 

The VARC phase consists of 24 questions which might be divided into two parts: Reading Comprehension and Verbal Ability. The Reading Comprehension part consists of passages that are followed by way of a hard and fast of questions. The Verbal Ability element consists of questions on para-jumbles, sentence correction, vocabulary, and grammar.

Section 2: Data Interpretation and Logical Reasoning (DILR) 

The DILR segment includes  20 questions which are divided into  parts: Data Interpretation and Logical Reasoning. The Data Interpretation part consists of questions about graphs, charts, tables, and diagrams. The Logical Reasoning part includes questions about puzzles, seating arrangements, blood relations, and other comparable subjects.

Section 3: Quantitative Ability (QA) 

The QA phase consists of 22 questions that cover topics which include mathematics, algebra, geometry, numbersystem opportunity, and records. The questions in this section require applicants to apply mathematical ideas and follow them to resolve troubles.

Marking Scheme: 

Each query inside the CAT examination incorporates three marks, and there is bad marking for incorrect solutions. For each wrong answer, one mark is deducted, and there may be no terrible marking for questions that aren't attempted. The CAT exam does not have a sectional time restriction, and applicants can move back and forth between the sections.

Scoring and Percentile: 

The CAT examination is a high-stakes exam, and the rating acquired through candidates is used by pinnacle business faculties to shortlist candidates for his or her control programs. The rating obtained by means of a candidate is transformed into a percentile score, which is used to rank applicants towards each different. The percentile rating is calculated primarily based at the quantity of applicants who appeared for the examination, and the performance of the candidate in each section. Let's start your CAT exam preparation to get 99%itle with Best CAT Online Coaching.

Preparation Strategy: 

Preparing for the CAT examination requires a based approach and a clean knowledge of the exam sample and syllabus. Candidates are cautioned to start their training well earlier and to awareness on building a robust foundation within the simple principles of arithmetic, English, and logical reasoning. Candidates can discuss with diverse examine substances, on-line guides, and education facilities to useful resource their guidance.

Mock Tests: 

Mock exams are an critical a part of CAT exam practise as they assist applicants to get a sense of the real exam and to identify their strengths and weaknesses. Candidates are recommended to take as many mock checks as possible and to analyze their performance to enhance their ratings.

Tips for Success: 

To succeed inside the CAT exam, applicants need to have a strong conceptual knowledge of the subjects protected inside the exam. Candidates are advised to practice often, manage their time effectively, and remain calm and composed at some point of the exam.

In end, the CAT examination is a fantastically competitive exam that assessments a candidate's flair, trouble-fixing competencies, and logical reasoning abilties.

[learningpoweracademy]

Welcome to our comprehensive discussion on the Number System and Prime Numbers, tailored specifically for CTET Maths Paper 1 preparation. In this detailed session, we delve deep into the fundamental concepts of number theory, exploring the intricacies of prime numbers and their significance within the context of the CTET exam.

ctetmaths #numbersystem #ctet2024

[uinunicorn]

Explore Number Systems with Class 9 Chapter 1 - Question 4 | Get Ahead in Math

Unlock the secrets of Number Systems with Class 9 Chapter 2 - Question 4! Get expert tips and insights to excel in math and get ahead. Explore more with our online resources today! #NumberSystems #Class9Math #MathTips #GetAhead #ExploreMath

[logicxonomy]

Divisibility Rules and Remainders

This video provides an in-depth discussion of the concepts of remainder and divisibility rules for various numbers, including 2, 3, 4, 5, 6, 7, 8, 9, 11, 13, and 37. The aim of this video is to provide viewers with a solid foundation in the techniques required to solve quantitative aptitude questions based on these concepts, which are commonly found in competitive exams.

The video covers theoretical concepts and short tricks that can be used to solve problems quickly. It includes examples of problems that can be solved using these techniques and provides step-by-step explanations of how to arrive at the correct answer.

The concepts of remainder and divisibility are crucial to solving many quantitative aptitude problems, and mastering them can significantly improve one’s chances of success in competitive exams. This video is therefore a valuable resource for anyone looking to improve their skills in this area, whether they are preparing for a specific exam or simply looking to enhance their mathematical abilities.

Telegram Channel: Logicxonomy

[eliteiascoaching]

Working on Mathematics? Know What Are Prime Numbers.

For Students who need to revise their basics for their upcoming Exam and come up with a topic on Prime Numbers and looking to get details on What are Prime Numbers? Everything about it but not finds much detailed information. You can read this article and every little detail on Prime Numbers from the mentioned link.