ABC26GN1902 · Surds and Indices
Subject: General Aptitude · Chapter: Surds and Indices · Exam: 2004 · Marks: · Difficulty:
$(0.2)^{2}, \frac{1}{100},(0.01)^{\frac{1}{2}},(0.008)^{\frac{1}{3}}$. Of these, which one is the greatest?
(a)$(0.008)^{\frac{1}{3}}$
(b)$(0.01)^{\frac{1}{2}}$
(c)$(0.2)^{2}$
(d)$\frac{1}{100}$
Answer
Explanation
$(0.2)^{2}=0.2 \times 0.2=0.04$; $$\frac{1}{100}=0.01 ; \quad(0.01)^{\frac{1}{2}}=\left[(0.1)^{2}\right]^{\frac{1}{2}}=(0.1)^{\left(2 \times \frac{1}{2}\right)}=0.1 ;$$ Clearly, 0.2 > 0.1 > 0.04 > 0.01. So, $(0.008)^{\frac{1}{3}}$ is the greatest.
Explanation as extracted from the printed page; notation may be imperfect.
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