Let the coefficients of three consecutive terms $T_{r}, T_{r+1}$ and $T_{r+2}$ in the binomial expansion of $(a+b)^{12}$ be in G.P. and let $p$ be the number of all possible values of $r$. Let $q$ be the sum of all rational terms in the binomial expansion of $(\sqrt{3} + \sqrt[4]{5})^{12}$. Then $p + q$ is equal to: