Algebra - General Aptitude - General Aptitude (GA) Previous Year Questions

\(p\) and \(q\) are positive integers and \(\frac{p}{q} + \frac{q}{p} = 3\), then, \(\frac{p^2}{q^2} + \frac{q^2}{p^2} =\)

Consider the following inequalities.
(i) \(2x - 1 > 7\)
(ii) \(2x - 9 < 1\)

Which one of the following expressions below satisfies the above two inequalities?

For positive real numbers \(S\) and \(K\), the function \(H_K(S)\) is defined as: \(H_K(S) = \max(S - K, 0)\). The max function is defined as: \(\max(a, b) = \begin{cases} a, & \text{when } a > b \\ b, & \text{when } a \leq b \end{cases}\)
The graph below shows the plot of a function \(N(S)\) versus \(S\).
\(N(S)\) can be expressed as ______.