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3 musical notes... please help

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by moonlite » Sat Sep 27, 2008 8:12 am
Three musical notes have frequencies x, y, and z, respectively. If x, y, and z are positive, zyyx=, and 2x = z, what is y in terms of x?

(A) 2x
(B) (root2)x
(C) (1/root2)x
(D) (1/2)x

B
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by cramya » Sat Sep 27, 2008 8:23 am
Can u please clarify the zyyx part? Is it zy = yx?
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by stop@800 » Sat Sep 27, 2008 10:22 am
even if i take zyyx = 1, I am not able to get B
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by Morgoth » Sat Sep 27, 2008 10:28 am
Guys, here is the real question, from MGMAT
Three musical notes have frequencies x, y, and z, respectively. If x, y, and z are positive, x/y = y/z, and 2x = z, what is y in terms of x?
x/y = y/z
xz = y^2

2x=z

x*2x = y^2 = 2x^2

y = sqrt (2x^2) = x*sqrt2.

Thus, B is the answer.
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