ABC26GN0097 · Number System

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

If $p$ is a positive fraction less than 1 , then
(a)$\frac{1}{p}$ is less than 1
(b)$\frac{1}{p}$ is a positive integer
(c)$p^{2}$ is less than $p$
(d)$\frac{2}{p}-p$ is a positive number
Answer
Answer (as printed): D
Explanation
$p<1 \Rightarrow \frac{1}{p}>1 \Rightarrow \frac{2}{p}>2 \Rightarrow \frac{2}{p}-p>2-p>0[\because p<1]$ Hence, $\left(\frac{2}{p}-p\right)$ is a positive number.

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

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