My Learning Cart
?
Categories
Account

Number Systems

Download Q&A
Q. If 'A' in hexadecimal is equal to 10 in decimal, what is 'A + 5' in hexadecimal?
  • A. F
  • B. G
  • C. B
  • D. C
Q. If 'A' is a number in base-4 that equals 10 in decimal, what is 'A'?
  • A. 22
  • B. 24
  • C. 30
  • D. 32
Q. If 'A' is a number in base-5 and is represented as '43', what is its decimal equivalent?
  • A. 20
  • B. 23
  • C. 25
  • D. 30
Q. If 'A' represents 10 in a hexadecimal system, what is the decimal equivalent of '1A'?
  • A. 26
  • B. 27
  • C. 28
  • D. 29
Q. If 'C' in hexadecimal is equal to 12 in decimal, what is the value of 'D'?
  • A. 11
  • B. 12
  • C. 13
  • D. 14
Q. If 'C' represents 12 in a hexadecimal system, what is the decimal equivalent of '2C'?
  • A. 44
  • B. 45
  • C. 46
  • D. 47
Q. If 'x' in base-7 is equal to 50 in decimal, what is 'x'?
  • A. 101
  • B. 110
  • C. 120
  • D. 130
Q. If 'x' is a number in base 5 represented as '320', what is its decimal equivalent?
  • A. 75
  • B. 80
  • C. 85
  • D. 90
Q. If 'XYZ' in a base-6 system equals 215 in decimal, what is the value of 'X'?
  • A. 3
  • B. 4
  • C. 5
  • D. 2
Q. If 'XYZ' in base 5 equals 100 in decimal, what is the value of 'X'?
  • A. 1
  • B. 2
  • C. 3
  • D. 4
Q. If 'XYZ' in base-3 equals 26 in decimal, what is the value of 'X'?
  • A. 2
  • B. 1
  • C. 0
  • D. 3
Q. If 'XYZ' in base-4 equals 27 in decimal, what is the value of 'X'?
  • A. 1
  • B. 2
  • C. 3
  • D. 0
Q. If 15 is congruent to x modulo 6, what is the value of x?
  • A. 3
  • B. 9
  • C. 15
  • D. 21
Q. If 2x ≡ 4 (mod 6), what is the smallest non-negative integer solution for x?
  • A. 0
  • B. 1
  • C. 2
  • D. 3
Q. If 3x ≡ 9 (mod 12), what is the value of x?
  • A. 1
  • B. 2
  • C. 3
  • D. 4
Q. If 3x ≡ 9 (mod 6), what is the value of x?
  • A. 0
  • B. 1
  • C. 2
  • D. 3
Q. If 4x ≡ 1 (mod 9), what is the smallest positive integer solution for x?
  • A. 1
  • B. 2
  • C. 3
  • D. 4
Q. If 4x ≡ 8 (mod 12), what is the smallest non-negative integer solution for x?
  • A. 0
  • B. 1
  • C. 2
  • D. 3
Q. If 4x ≡ 8 (mod 12), what is the smallest non-negative solution for x?
  • A. 0
  • B. 1
  • C. 2
  • D. 3
Q. If 5x ≡ 10 (mod 15), what is the value of x?
  • A. 0
  • B. 1
  • C. 2
  • D. 3
Q. If 7x ≡ 3 (mod 5), what is the value of x?
  • A. 1
  • B. 2
  • C. 3
  • D. 4
Q. If 8x ≡ 4 (mod 12), what is the value of x?
  • A. 1
  • B. 2
  • C. 3
  • D. 4
Q. If a number in base 4 is represented as '210', what is its equivalent in base 10?
  • A. 32
  • B. 34
  • C. 36
  • D. 38
Q. If a number in base 5 is represented as '243', what is its equivalent in decimal?
  • A. 60
  • B. 61
  • C. 62
  • D. 63
Q. If a number in base 5 is represented as '320', what is its decimal equivalent? (2023)
  • A. 75
  • B. 80
  • C. 50
  • D. 25
Q. If a number in base 5 is represented as 243, what is its decimal equivalent? (2023)
  • A. 60
  • B. 55
  • C. 50
  • D. 45
Q. If a number in base 8 is represented as '57', what is its equivalent in base 10?
  • A. 47
  • B. 49
  • C. 50
  • D. 51
Q. If a number in base-3 is represented as '210', what is its decimal equivalent?
  • A. 18
  • B. 19
  • C. 20
  • D. 21
Q. If a number in base-6 is represented as '54', what is its decimal equivalent?
  • A. 30
  • B. 32
  • C. 34
  • D. 36
Q. If a number in base-6 is represented as 405, what is its decimal equivalent?
  • A. 145
  • B. 150
  • C. 155
  • D. 160
Showing 61 to 90 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!

Soulshift Feedback ×

On a scale of 0–10, how likely are you to recommend The Soulshift Academy?

Not likely Very likely
Home Practice Performance eBooks