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Re: If 25/(x/5) = (1/25)/125 then x = ? [#permalink]
Expert Reply
Bunuel wrote:
If \(\frac{25}{(\frac{x}{5})} = \frac{(\frac{1}{25})}{125}\) then x = ?


(A) 5^(-2)

(B) 5^2

(C) 5^3

(D) 5^8

(E) 5^11


If we multiply the left side of the equation by 5/5 and the right side of the equation by 25/25, we have:

125/x = 1/(25 * 125)

Cross-multiplying, we obtain:

x = 125 * 25 * 125 = 5^3 * 5^2 * 5^3 = 5^8

Answer: D
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Re: If 25/(x/5) = (1/25)/125 then x = ? [#permalink]
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If \(\frac{25}{\frac{x}{5}} = \frac{\frac{1}{25}}{125}\), then \(x =\)?

A. \(5^{-2}\)
B. \(5^2\)
C. \(5^4\)
D. \(5^8\)
E. \(5^{10}\)


Given: \(\frac{25}{\frac{x}{5}} = \frac{\frac{1}{25}}{125}\):

By cross-multiplying, we get: \(25 * 125 = \frac{x}{5} * \frac{1}{25}\).

Cross-multiplying both sides again, we find: \(25 * 125 * 5 * 25 = x\).

When expressed in powers of 5, this becomes: \(5^2 * 5^3 * 5 * 5^2 = x\).

Therefore, \(x = 5^8\).


Answer: D
GMAT Club Bot
Re: If 25/(x/5) = (1/25)/125 then x = ? [#permalink]
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