Practice | Hashtable

Home > Practice > Arithmetic Aptitude > Surds and Indices > Miscellaneous

1. $[\frac{{(0.73)}^{3} + {(0.27)}^{3}}{{(0.73)}^{2} + {(0.27)}^{2} - (0.73) \times (0.27)}]$ simplifies to ?

A. 1

B. 0.4087

C. 0.73

D. 0.27

Solution:

\begin{aligned} let \\ a = 0.73 \\ b = 0.27 \\ = \frac{a^{3} + b^{3}}{a^{2} + b^{2} - a b} \\ = \frac{(a + b) (a^{2} + b^{2} - a b)}{(a^{2} + b^{2} - a b)} \\ = (a + b) \\ = (0.73 + 0.27) \\ = 1 \end{aligned}

You must login to add comments. Login now.