Aptitude : : Surds and Indices Questions & Answers

  1. The value of $(256)^\dfrac{5}{4}$

A. 512

B. 984

C. 1024

D. 1032

  1. The value of $ {(\sqrt{8})}^{\dfrac{1}{3}} $

A. 2

B. 4

C. √2

D. 8

  1. The value of $ {\left(\dfrac{32}{243}\right)^\dfrac{-4}{5}} $

A. $\dfrac{4}{9}$

B. $\dfrac{9}{4}$

C. $\dfrac{16}{81}$

D. $\dfrac{81}{16}$

  1. 49 x 49 x 49 x 49 = 7?

A. 7

B. 8

C. 16

D. 6

  1. If $ \left( \dfrac{a}{b} \right)^{\text{x}-1} =\left( \dfrac{b}{a}\right )^{\text{x}-3} $, then the value of $\text{x}$ is :

A. $\dfrac{1}{2}$

B. 1

C. 2

D. $\dfrac{7}{2}$