Bunuel wrote:

If three times the circumference of circle P is double the circumference of circle Q, then the diameter of circle Q is how many times the radius of circle P?

A. 6

B. 3

C. 1.5

D. 4/3

E. 2/3

We can let the diameter of circle P = p and the diameter of circle Q = q. Using the formula circumference = Π(diameter), we have:

3(pΠ) = 2(qΠ)

3p = 2q

(3/2)p = q

Now we can let the radius of circle P = r. Since the diameter of a circle is always twice the radius, we have p = 2r. Substituting this in the last equation, we have:

(3/2)(2r) = q

3r = q

We see that the diameter of circle Q is 3 times the radius of circle P.

Answer: B

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