Aptitude Question ID : 93621

If a : b = b : c, then a^{4}:b^{4} is equal to:
[A]b^{2}: ac
[B]ac : b^{2}
[C]c^{2}: a^{2}
[D]a^{2}: c^{2}

\mathbf{a^{2}: c^{2}}
\frac{a}{b} = \frac{b}{c}
=> b^{2} = ac
=> b^{4} = a^{2}c^{2}
\therefore \frac{a^{4}}{b^{4}} = \frac{a^{4}}{a^{2}c^{2}} = \frac{a^{2}}{c^{2}} = a^{2} : c^{2}
Hence option [D] is the right answer.

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