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Problem Solving (PS) | Re: How many two-digit numbers are divisible by both 5 and 6?

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Bunuel wrote:

How many two-digit numbers are divisible by both 5 and 6?

(A) none
(B) one
(C) two
(D) three
(E) more than three


If a number is divisible by both 5 and 6, then it’s divisible by their LCM, which is 30. Thus, we need to find the number of two-digit numbers that are multiples of 30. We have:

30, 60, and 90

Answer: D

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