SSC Sample Paper Mock Test-9 SSC CGL Tear-II Paper-1

Simplify \[\frac{0.05\times 0.05\times 0.05-0.04\times 0.04\times 0.04}{0.05\times 0.05+0.002+0.04\times 0.04}\]

A) 1

B) 0.1

C) 0.01

D) 0.001

Correct Answer: C

Solution :

Using the formula \[{{a}^{3}}-{{b}^{3}}=(a-b)({{a}^{2}}+ab+{{b}^{2}})\]

\[?=\frac{0.05\times 0.05\times 0.05-0.04\times 0.04\times 0.04}{0.05\times 0.05+0.002+0.04\times 0.04}\]

\[=\frac{{{(0.05)}^{3}}-{{(0.04)}^{3}}}{{{(0.05)}^{2}}+0.05\times 0.04+{{(0.04)}^{2}}}\]

\[=0.05-0.04=0.01\]