Quantitative Aptitude
\(
\begin{aligned}
\cos^{3} 60- \cos^{3} 240- \cos^{3} 360
\end{aligned}
\) = ______________
\( \frac{-3}{4} \)
\( \frac{-7}{5} \)
\( \frac{-3}{5} \)
\( \frac{-9}{7} \)
If x + y + z = 0, then what is the value of \(
\frac{x^2}{yz} + \frac{y^2}{zx} + \frac{z^2}{xy}
\)
Three candidates P, Q and R participated in an election. P got 35% more votes than Q, and R got 15% more votes than Q. P overtook R by 2,412 votes. If 90% voters voted and no invalid or illegal votes were cast, then what was the number of voters in the voting list?
Three successive discounts of 10% is equivalent to a single discount of:
In triangle ABC, ∠B=90º, and ∠C= 45º. IfAC = 2\(\sqrt{2}\)cm, then the length of BC is: