Number System

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Number System MCQ & Objective Questions

The Number System is a fundamental concept in mathematics that forms the basis for various topics in school and competitive exams. Understanding the Number System is crucial for students as it helps in solving problems efficiently and accurately. Practicing MCQs and objective questions related to the Number System not only enhances conceptual clarity but also boosts exam scores. Engaging with practice questions allows students to identify important questions and prepare effectively for their upcoming exams.

What You Will Practise Here

  • Types of Numbers: Natural, Whole, Integers, Rational, and Irrational Numbers
  • Number Line and its Applications
  • Properties of Numbers: Commutative, Associative, and Distributive Laws
  • Prime and Composite Numbers: Definitions and Examples
  • Factors and Multiples: Finding GCD and LCM
  • Decimal and Binary Number Systems
  • Conversions between Different Number Systems

Exam Relevance

The Number System is a crucial topic in various examinations, including CBSE, State Boards, NEET, and JEE. Students can expect questions that test their understanding of number types, properties, and conversions. Common question patterns include identifying types of numbers, solving problems involving GCD and LCM, and converting numbers between decimal and binary systems. Mastery of this topic is essential for achieving high scores in both school and competitive exams.

Common Mistakes Students Make

  • Confusing between rational and irrational numbers.
  • Misapplying properties of numbers, particularly in complex problems.
  • Overlooking the importance of the number line in visualizing numbers.
  • Errors in finding GCD and LCM due to incorrect factorization.
  • Difficulty in converting numbers between different systems, especially binary to decimal.

FAQs

Question: What are the different types of numbers in the Number System?
Answer: The different types of numbers include natural numbers, whole numbers, integers, rational numbers, and irrational numbers.

Question: How can I improve my understanding of the Number System for exams?
Answer: Regular practice of MCQs and objective questions, along with reviewing key concepts and properties, can significantly enhance your understanding.

Start solving practice MCQs today to test your understanding of the Number System and prepare effectively for your exams. Remember, consistent practice is the key to success!

Q. What is the greatest common divisor (GCD) of 48 and 64?
  • A. 8
  • B. 12
  • C. 16
  • D. 24
Q. What is the least common multiple (LCM) of 8 and 12?
  • A. 24
  • B. 48
  • C. 36
  • D. 60
Q. What is the product of all prime factors of 30?
  • A. 30
  • B. 60
  • C. 15
  • D. 45
Q. What is the sum of all factors of 12?
  • A. 28
  • B. 24
  • C. 36
  • D. 30
Q. What is the sum of all factors of 24?
  • A. 60
  • B. 70
  • C. 80
  • D. 90
Q. What is the sum of the first 10 prime numbers?
  • A. 28
  • B. 52
  • C. 129
  • D. 41
Q. What is the sum of the first three prime numbers?
  • A. 10
  • B. 12
  • C. 15
  • D. 17
Q. Which of the following is a composite number?
  • A. 2
  • B. 3
  • C. 5
  • D. 9
Q. Which of the following is a multiple of 7?
  • A. 28
  • B. 30
  • C. 32
  • D. 34
Q. Which of the following is an even number?
  • A. 17
  • B. 21
  • C. 22
  • D. 25
Q. Which of the following is NOT a factor of 100?
  • A. 2
  • B. 4
  • C. 5
  • D. 10
Q. Which of the following is NOT a factor of 45?
  • A. 1
  • B. 3
  • C. 5
  • D. 7
Q. Which of the following is the largest prime number less than 30?
  • A. 23
  • B. 29
  • C. 19
  • D. 17
Q. Which of the following numbers is a factor of 84?
  • A. 6
  • B. 10
  • C. 14
  • D. 20
Q. Which of the following numbers is a multiple of 7?
  • A. 28
  • B. 30
  • C. 32
  • D. 34
Q. Which of the following numbers is a multiple of 9?
  • A. 27
  • B. 28
  • C. 30
  • D. 31
Q. Which of the following numbers is a prime number?
  • A. 4
  • B. 6
  • C. 11
  • D. 15
Q. Which of the following numbers is both prime and odd?
  • A. 2
  • B. 4
  • C. 5
  • D. 6
Q. Which of the following numbers is neither prime nor composite?
  • A. 0
  • B. 1
  • C. 2
  • D. 3
Q. Which of the following numbers is NOT a factor of 100?
  • A. 4
  • B. 5
  • C. 10
  • D. 20
Q. Which of the following pairs contains only prime numbers?
  • A. 2 and 4
  • B. 3 and 5
  • C. 6 and 7
  • D. 8 and 9
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