Number Systems

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Q. Which of the following statements is true regarding divisibility by 5?
  • A. A number must end in 0 or 5
  • B. A number must be even
  • C. A number must be a multiple of 10
  • D. A number must be a prime number
Q. Which of the following statements is true regarding divisibility by 9?
  • A. The number must end in 0
  • B. The sum of the digits must be divisible by 9
  • C. The number must be even
  • D. The last digit must be 9
Q. Which of the following statements is true regarding factors and multiples?
  • A. All factors are multiples.
  • B. All multiples are factors.
  • C. Factors are always less than multiples.
  • D. Multiples are always less than factors.
Q. Which of the following statements is true regarding HCF and LCM? (2023)
  • A. HCF is always greater than LCM
  • B. HCF and LCM can be equal
  • C. HCF is the product of prime factors
  • D. LCM is always less than HCF
Q. Which of the following statements is true regarding modular arithmetic?
  • A. It is only applicable to integers.
  • B. It can be used for real numbers.
  • C. It is not useful in computer science.
  • D. It is only used in cryptography.
Q. Which of the following statements is true regarding prime numbers? (2023)
  • A. Every prime number is a multiple of 1.
  • B. Prime numbers have exactly two distinct positive divisors.
  • C. All even numbers are prime.
  • D. The number 1 is a prime number.
Q. Which of the following statements is true regarding the base-8 number system?
  • A. It uses digits 0-7
  • B. It uses digits 0-8
  • C. It is a binary system
  • D. It is a hexadecimal system
Q. Which of the following statements is true regarding the expression (a + b) mod n?
  • A. It is always equal to (a mod n) + (b mod n)
  • B. It is always equal to (a mod n) - (b mod n)
  • C. It is always equal to (a mod n) * (b mod n)
  • D. It is always equal to (a mod n) / (b mod n)
Q. Which of the following statements is true regarding the factors of 36?
  • A. 36 has 8 factors
  • B. 36 is a prime number
  • C. All factors of 36 are even
  • D. 36 is a perfect square
Q. Which of the following statements is true regarding the HCF and LCM of two numbers? (2023)
  • A. HCF is always greater than LCM
  • B. HCF is the product of the numbers
  • C. LCM is always less than the product of the numbers
  • D. HCF * LCM = Product of the numbers
Q. Which of the following statements is true regarding the number '0' in any number system?
  • A. It is always positive
  • B. It is always negative
  • C. It is neither positive nor negative
  • D. It is undefined
Q. Which of the following statements is true regarding the number '100' in base 3?
  • A. It is equal to 9
  • B. It is equal to 10
  • C. It is equal to 12
  • D. It is equal to 27
Q. Which of the following statements is true regarding the number 'A' in hexadecimal?
  • A. A is equal to 10
  • B. A is equal to 11
  • C. A is equal to 12
  • D. A is equal to 13
Q. Which of the following statements is true regarding the number 36?
  • A. It has exactly 9 factors.
  • B. It is a prime number.
  • C. It is a perfect square.
  • D. It is a multiple of 10.
Q. Which of the following statements is true regarding the numbers 8, 12, and 16?
  • A. 8 is a multiple of 12
  • B. 12 is a factor of 16
  • C. 16 is a multiple of 8
  • D. 12 is a multiple of 8
Q. Which of the following words best captures the essence of 'digital sum' as used in the passage? (2023)
  • A. Calculation.
  • B. Innovation.
  • C. Complexity.
  • D. Obsolescence.
Q. Which of the following words best captures the essence of digital sum as described in the passage? (2023)
  • A. Obsolete.
  • B. Innovative.
  • C. Complicated.
  • D. Irrelevant.
Q. Which vocabulary word in the passage best describes the nature of digital sum?
  • A. Obsolete.
  • B. Innovative.
  • C. Complicated.
  • D. Redundant.
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