If $\;|\overrightarrow{a}|^{2} =60 \;$ and $\;\overrightarrow{c} \times (\hat{i} + 2 \hat{j} +5 \hat{k}) = \overrightarrow{0}\;$ , then the value of $\;\overrightarrow{c}\;.(-7 \hat{i} + 2 \hat{j} +3 \hat{k}) \;$ is :

Question

$(a)\;4 \sqrt{2}\qquad(b)\;12\qquad(c)\;24\qquad(d)\;12 \sqrt{2}$