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Home » GMAT BANK QUESTION » Daily GMAT MATH QUESTION

Fattah Razzaq Education 22:25 GMAT BANK QUESTION Edit

Daily GMAT MATH QUESTION

1. If $f(x) = \frac{125}{x^{3}}$ , what is the value of $\frac{f(5x)}{f(x/5)}$ in terms of f(x)?

A. $(f(x))^{2}$

B. $f(x^{2})$

C. $(f(x))^{3}$

D. $f(x^{3})$

E. f(125x)

Answer Explanation :

Say x=1

, then:

$f(x) = f(1)=\frac{125}{1^{3}}=125$ ;

$f(5x)=f(5)=\frac{125}{5^3}=1$ ;

$f(\frac{x}{5})=f(\frac{1}{5})=\frac{125}{(\frac{1}{5})^3}=125*125$ .

${f(5x)}*{f(\frac{x}{5})}={f(5)}*{f(\frac{1}{5})}=125^2$ and since f(x) = f(1)=125

, then ${f(5x)}*{f(\frac{x}{5})}=125^2=(f(x))^2$ .

Answer: A.

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