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?
Practice Questions
1 question
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?
A is greater than B
B is a multiple of A
A and B are equal
A is a multiple of B
'B' (18) is a multiple of 'A' (12) since 18 can be expressed as 12 multiplied by 1.5.
Questions & Step-by-step Solutions
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Q
Q: 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?
Solution: 'B' (18) is a multiple of 'A' (12) since 18 can be expressed as 12 multiplied by 1.5.
Steps: 7
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.
