Quantitative Aptitude
Simplify the following.
\[
\begin{aligned}
25^3 - 75^3 + 50^3
\end{aligned}
\]
The given graph shows data of production of pulses (in lakh tonnes) by 3 different countries X,Y,Z over the years. Study the bar graph and answer the question that follows.
For which country is the average production (in lakh tonnes) for five years the maximum?
If θ is an acute angle and tanθ + cotθ = 2, then the value of tan²θ + cot²θ + 2 tan5θ cot4θ is: