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Mathematics > Standard Multiple Choice

Read the following SAT test question and then click on a button to select your answer.

All numbers divisible by both and are also divisible by which of the following?

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Explanation

All numbers divisible by both and are the multiples of and . Since and have no prime factor in common , then the least common multiple of and is equal to their product, namely . Every other multiple of and is divisible by . Thus, if is divisible by a number then all the multiples of and are divisible by that number. Therefore, it is enough to check by which number in the given options is divisible. Only divides and none of the other do. The answer must be (A).

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