\(m\) is defined as the largest integer that is smaller than 12.022 - So \(m\) will be \(12\)

\(n\) is defined as the smallest integer that is greater than 23.032 - \(n\) will be \(24\)

\(p\) is defined as the middle integer of the integers that lie between 34.43 and 43.34 -

Nos are 35 36 37 38 39 40 41 42 43 - middle no \(p\) will be \(39\)

Qt A \(m^{n+p}\)

\(12^{24+39}\) = \(12^{63}\) = \(3^{63} * 2^{126}\)

Qt B \(n^{m+p}\)

\(24^{12+39}\) = \(24^{51}\) = \(2^{153} * 3^{51}\)

divide both the sides with \(2^{126} * 3^{51}\)

Qt A = \(3^{12}\) & Qt B = \(2^{27}\)

Qt B > QT A

Answer B