ABC26GN1894 · Surds and Indices

Subject: General Aptitude · Chapter: Surds and Indices · Exam: 2009 · Marks: · Difficulty:

If $289=17^{\frac{1}{5} x}$, then $x=$ ?
(a)$\frac{2}{5}$
(b)8
(c)16
(d)32
(e)None of these
Answer
Answer (as printed): E
Explanation
$289=17^{\frac{1}{5} x} \Rightarrow 17^{2}=17^{\frac{1}{5} x} \Rightarrow \frac{1}{5} x=2 \Rightarrow x=2 \times 5=10$.

Explanation as extracted from the printed page; notation may be imperfect.

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