ISEE Mathematics Achievement Question 18: Answer and Explanation
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Question: 18
4. If x is a factor of c and y is a factor of d, which of the following statements must be true?
- A. xy is a factor of cd
- B. x is a factor of d
- C. xy is a multiple of cd
- D. y is a multiple of c
Correct Answer: A
Explanation:
A
Choice (A) is correct because if a factor of one number is multiplied by a factor of another number, the product of the factors will be a factor of the product of the other two numbers.
Plug in values for all four variables, following the requirements. A proper set would be x = 5, c = 10, y = 3, and d = 6. Test each answer using these numbers. Only choice (A) is true.