If 0<x<1, which of the following is greatest? · ABC26GN0096
Subject: General Aptitude · Chapter: Number System · Exam: Campus Recruitment 2007
If $0<x<1$, which of the following is greatest?
(a)$x$
(b)$x^{2}$
(c)$\frac{1}{x}$
(d)$\frac{1}{x^{2}}$
Answer
Explanation
$0<x<1 \Rightarrow x^{2}<x<1$ ...(i) $\Rightarrow \frac{1}{x^{2}}>\frac{1}{x}>1>x>x^{2} \quad[\operatorname{using}(i)]$ Hence, $\frac{1}{x^{2}}$ is the greatest.
Explanation as extracted from the printed page; notation may be imperfect.
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