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Number Systems

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Q. Which of the following is the correct representation of 15 modulo 4?
  • A. 3
  • B. 1
  • C. 0
  • D. 2
Q. Which of the following is the correct representation of the decimal number 10 in base-3?
  • A. 101
  • B. 110
  • C. 100
  • D. 111
Q. Which of the following is the correct representation of the decimal number 15 in hexadecimal?
  • A. F
  • B. E
  • C. D
  • D. C
Q. Which of the following is the correct representation of the decimal number 15 in base 8?
  • A. 17
  • B. 18
  • C. 19
  • D. 1B
Q. Which of the following is the correct representation of the decimal number 15 in base-2?
  • A. 1111
  • B. 1011
  • C. 1101
  • D. 1001
Q. Which of the following is the correct representation of the decimal number 15 in base-4?
  • A. 33
  • B. 30
  • C. 12
  • D. 21
Q. Which of the following is the correct representation of the decimal number 25 in base-8?
  • A. 31
  • B. 32
  • C. 33
  • D. 34
Q. Which of the following is the greatest common divisor (GCD) of 48 and 180?
  • A. 12
  • B. 24
  • C. 6
  • D. 18
Q. Which of the following is the greatest common factor (GCF) of 48 and 180?
  • A. 12
  • B. 24
  • C. 6
  • D. 18
Q. Which of the following is the least common multiple (LCM) of 9 and 12?
  • A. 36
  • B. 72
  • C. 108
  • D. 144
Q. Which of the following is the least common multiple of 8 and 12?
  • A. 24
  • B. 48
  • C. 36
  • D. 60
Q. Which of the following is the smallest multiple of 7 that is greater than 50?
  • A. 56
  • B. 63
  • C. 70
  • D. 77
Q. Which of the following numbers is a common multiple of 3 and 5?
  • A. 15
  • B. 20
  • C. 25
  • D. 30
Q. Which of the following numbers is a common multiple of 4 and 6?
  • A. 12
  • B. 18
  • C. 20
  • D. 24
Q. Which of the following numbers is a factor of 144?
  • A. 15
  • B. 12
  • C. 20
  • D. 25
Q. Which of the following numbers is a factor of 48?
  • A. 10
  • B. 12
  • C. 14
  • D. 16
Q. Which of the following numbers is a factor of 60?
  • A. 7
  • B. 12
  • C. 15
  • D. 25
Q. Which of the following numbers is a multiple of both 4 and 6?
  • A. 12
  • B. 15
  • C. 20
  • D. 25
Q. Which of the following numbers is a multiple of both 8 and 12? (2023)
  • A. 24
  • B. 32
  • C. 40
  • D. 48
Q. Which of the following numbers is divisible by 11?
  • A. 121
  • B. 123
  • C. 124
  • D. 125
Q. Which of the following numbers is divisible by 15?
  • A. 30
  • B. 44
  • C. 50
  • D. 70
Q. Which of the following numbers is divisible by 7?
  • A. 28
  • B. 30
  • C. 31
  • D. 32
Q. Which of the following numbers is divisible by 8?
  • A. 64
  • B. 70
  • C. 81
  • D. 90
Q. Which of the following numbers is divisible by both 2 and 5?
  • A. 20
  • B. 33
  • C. 41
  • D. 57
Q. Which of the following numbers is NOT a factor of 60?
  • A. 2
  • B. 3
  • C. 5
  • D. 7
Q. Which of the following numbers is NOT a multiple of 11?
  • A. 22
  • B. 33
  • C. 44
  • D. 50
Q. Which of the following numbers is NOT a multiple of 6?
  • A. 18
  • B. 24
  • C. 30
  • D. 35
Q. Which of the following numbers is NOT divisible by 11?
  • A. 121
  • B. 132
  • C. 143
  • D. 154
Q. Which of the following numbers is NOT divisible by 12?
  • A. 36
  • B. 48
  • C. 55
  • D. 60
Q. Which of the following numbers is NOT divisible by 3?
  • A. 12
  • B. 15
  • C. 22
  • D. 27
Showing 541 to 570 of 618 (21 Pages)

Number Systems MCQ & Objective Questions

Understanding number systems is crucial for students preparing for various exams in India. Mastering this topic not only enhances your mathematical skills but also boosts your confidence in tackling objective questions. Practicing MCQs related to number systems helps in identifying important questions and solidifying your exam preparation strategy.

What You Will Practise Here

  • Types of number systems: Natural, Whole, Integers, Rational, and Irrational numbers
  • Conversion between different number systems: Decimal, Binary, Octal, and Hexadecimal
  • Arithmetic operations in various number systems
  • Properties of numbers: Even, Odd, Prime, and Composite numbers
  • Understanding place value and significance in different bases
  • Common number system problems and their solutions
  • Real-world applications of number systems in technology and computing

Exam Relevance

Number systems are a fundamental part of the curriculum for CBSE, State Boards, NEET, and JEE. Questions related to this topic frequently appear in both objective and subjective formats. Students can expect to encounter problems that require conversions between bases, operations on numbers in different systems, and theoretical questions about properties of numbers. Familiarity with common question patterns will significantly enhance your performance in these exams.

Common Mistakes Students Make

  • Confusing the conversion process between different number systems
  • Overlooking the significance of place value in non-decimal systems
  • Misapplying arithmetic operations when dealing with binary or hexadecimal numbers
  • Ignoring the properties of numbers, leading to incorrect answers in problem-solving

FAQs

Question: What are the different types of number systems I should know for exams?
Answer: You should be familiar with natural numbers, whole numbers, integers, rational numbers, and irrational numbers, as these are commonly tested.

Question: How can I effectively practice number systems for my exams?
Answer: Regularly solving Number Systems MCQ questions and objective questions with answers will help reinforce your understanding and improve your speed.

Start solving practice MCQs today to test your understanding of number systems and boost your exam readiness. Remember, consistent practice is the key to success!

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