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In a certain number system, the number 12 is represented as 'A' and the number 1

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Question: In a certain number system, the number 12 is represented as \'A\' and the number 18 as \'B\'. If \'A\' is a factor of \'B\', which of the following statements is true?

Options:

  1. A is greater than B
  2. B is a multiple of A
  3. A and B are equal
  4. A is a multiple of B

Correct Answer: B is a multiple of A

Solution: 

\'B\' (18) is a multiple of \'A\' (12) since 18 can be expressed as 12 multiplied by 1.5.

In a certain number system, the number 12 is represented as 'A' and the number 1

Practice Questions

Q1
In a certain number system, the number 12 is represented as 'A' and the number 18 as 'B'. If 'A' is a factor of 'B', which of the following statements is true?
  1. A is greater than B
  2. B is a multiple of A
  3. A and B are equal
  4. A is a multiple of B

Questions & Step-by-Step Solutions

In a certain number system, the number 12 is represented as 'A' and the number 18 as 'B'. If 'A' is a factor of 'B', which of the following statements is true?
  • Step 1: Understand that in this number system, 'A' represents the number 12.
  • Step 2: Understand that in this number system, 'B' represents the number 18.
  • Step 3: Identify that a factor is a number that can divide another number without leaving a remainder.
  • Step 4: Check if 'A' (12) is a factor of 'B' (18).
  • Step 5: Calculate if 18 can be divided by 12. Since 18 divided by 12 equals 1.5, it means 12 is not a factor of 18.
  • Step 6: Instead, check if 'B' (18) is a multiple of 'A' (12). A multiple means that you can multiply 'A' by a whole number to get 'B'.
  • Step 7: Since 12 multiplied by 1.5 equals 18, it shows that 18 is a multiple of 12.
  • Number Representation – Understanding how numbers are represented in different systems and their relationships.
  • Factors and Multiples – Identifying factors and multiples of numbers to determine divisibility.
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