ABC26GN0096 · Number System

Subject: General Aptitude · Chapter: Number System · Exam: 2007 · Marks: · Difficulty:

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

Answer (as printed): D

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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