Allied & ICAR Exam Bank • ALLIED_2335 MCQ • 2 Marks

Section 8: General Aptitude

Quantitative Aptitude

Subtopic: Numerical Computation

Question Statement:

Which of the following is greatest: $\sqrt{2}, \sqrt[3]{3}, \sqrt[4]{4}, \sqrt[6]{6}$?

Options:

  • (A) $\sqrt[3]{3}$
  • (B) $\sqrt{2}$
  • (C) $\sqrt[4]{4}$
  • (D) $\sqrt[6]{6}$

Answer Key:

A

Step-by-Step Solution & Explanation

Raise all to power 12: $(\sqrt{2})^{12} = 2^6 = 64$. $(\sqrt[3]{3})^{12} = 3^4 = 81$. $(\sqrt[4]{4})^{12} = 4^3 = 64$. $(\sqrt[6]{6})^{12} = 6^2 = 36$. Largest is $81$, so $\sqrt[3]{3}$ is greatest.
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