SAT Math Multiple Choice Practice Question 540: Answer and Explanation

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Question: 540

18. The product of integers x and y is divisible by 36. If x is divisible by 6, which of the following must be true?

I. y is divisible by x.

II. y is divisible by 6.

III. is divisible by 6.

A. None
B. I only
C. II only
D. I and III only
E. II and III only

Correct Answer: A


A Let's try plugging in some numbers for this problem. Start by choosing 18 for x and 2 for y. This makes their product 36, which is divisible by 36. You also made sure to pick a value for x that is divisible by 6. Using these numbers, let's look at statements I, II, and III. Are they true? Statement I is not true, because 2 cannot be evenly divided by 18; because statement I is not true, you can eliminate B and D. Now what about statement II? It's also false, so you can cross off C and E. This means our answer must be A.

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