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 a 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 $( \sqrt [ 4 ] { 3 } + \sqrt [ 3 ] { 4 } ) ^ { 12 }$. Then $\mathrm { p } + \mathrm { q }$ is equal to :\\
(1) 283\\
(2) 287\\
(3) 295\\
(4) 299