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. Convert 0.75 to a fraction.
  • A. 3/4
  • B. 1/2
  • C. 2/3
  • D. 1/4
Q. Convert 1.2 to a fraction.
  • A. 6/5
  • B. 5/4
  • C. 3/2
  • D. 4/3
Q. Convert 1.25 to a fraction.
  • A. 5/4
  • B. 3/2
  • C. 1/2
  • D. 7/4
Q. Convert 125% to a decimal.
  • A. 1.25
  • B. 0.125
  • C. 2.5
  • D. 0.25
Q. How many composite numbers are there between 1 and 10?
  • A. 4
  • B. 5
  • C. 6
  • D. 7
Q. How many factors does the number 28 have?
  • A. 4
  • B. 6
  • C. 8
  • D. 10
Q. How many factors does the number 36 have?
  • A. 6
  • B. 8
  • C. 9
  • D. 12
Q. How many integers between 1 and 100 are multiples of 5?
  • A. 20
  • B. 19
  • C. 21
  • D. 22
Q. How many multiples of 5 are there between 1 and 50?
  • A. 8
  • B. 9
  • C. 10
  • D. 11
Q. How many prime numbers are there between 1 and 20?
  • A. 8
  • B. 9
  • C. 10
  • D. 11
Q. If 0.125 is expressed as a fraction, what is it?
  • A. 1/8
  • B. 1/4
  • C. 1/2
  • D. 1/10
Q. If 0.6 is expressed as a fraction, what is it?
  • A. 3/5
  • B. 2/3
  • C. 1/2
  • D. 4/5
Q. If 1/5 of a number is 20, what is the number?
  • A. 100
  • B. 80
  • C. 60
  • D. 40
Q. If 3/5 of a number is 30, what is the number?
  • A. 50
  • B. 60
  • C. 70
  • D. 80
Q. If 3/8 of a cake is left, what fraction of the cake has been eaten?
  • A. 1/8
  • B. 5/8
  • C. 3/8
  • D. 7/8
Q. If a number is a multiple of 9 and less than 100, what is the largest such number?
  • A. 81
  • B. 90
  • C. 99
  • D. 72
Q. If a number is a multiple of both 3 and 5, what is the smallest number greater than 10?
  • A. 15
  • B. 20
  • C. 25
  • D. 30
Q. If a number is a multiple of both 5 and 7, what is the smallest such number?
  • A. 35
  • B. 70
  • C. 25
  • D. 50
Q. If a number is a multiple of both 5 and 9, what is the smallest such number?
  • A. 45
  • B. 90
  • C. 60
  • D. 75
Q. If a number is composite, which of the following must be true?
  • A. It has exactly two factors
  • B. It has more than two factors
  • C. It is even
  • D. It is greater than 1
Q. If a number is divisible by 2 and 3, is it prime or composite?
  • A. Prime
  • B. Composite
  • C. Neither
  • D. Cannot be determined
Q. If a number is divisible by 2 and 3, is it prime?
  • A. Yes
  • B. No
  • C. Only if it's 6
  • D. Only if it's odd
Q. If a number is divisible by 9, which of the following must also be true?
  • A. It is divisible by 3
  • B. It is divisible by 6
  • C. It is divisible by 12
  • D. It is divisible by 18
Q. If a number is divisible by both 3 and 4, what is the smallest positive number it can be?
  • A. 12
  • B. 6
  • C. 9
  • D. 15
Q. If a number is divisible by both 4 and 6, what is the least possible value of that number?
  • A. 12
  • B. 24
  • C. 36
  • D. 48
Q. If a number is divisible by both 4 and 6, what is the smallest positive integer that it can be?
  • A. 12
  • B. 24
  • C. 18
  • D. 30
Q. If a number is divisible by both 4 and 6, what is the smallest positive integer that is also a multiple of both?
  • A. 12
  • B. 24
  • C. 36
  • D. 48
Q. If a number is divisible by both 4 and 6, what is the smallest such number?
  • A. 12
  • B. 24
  • C. 6
  • D. 18
Q. If a number is multiplied by 3 and then decreased by 4, the result is 11. What is the number?
  • A. 5
  • B. 7
  • C. 3
  • D. 4
Q. If a number is multiplied by 3 and then decreased by 5, the result is 16. What is the number?
  • A. 7
  • B. 8
  • C. 9
  • D. 10
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