Mathematics Past Questions and Answers

\(k\) varies jointly as \(m\) and \(n\). If \(k=96\) when \(m=8\) and \(n=3\), find \(k\) when \(m=5\) and \(n=4\).

If \(a\) varies inversely as \(b\), and \(a=7\) when \(b=18\), find \(b\) when \(a=9\).

\(T\) varies jointly as \(u\) and \(v\). If \(T=150\) when \(u=5\) and \(v=6\), find \(u\) when \(T=240\) and \(v=8\).