Calculate the bond energy of $C-H$ bond in methane from the following data: $C(s) + 2H_2(g) \rightarrow CH_4(g);\: \: \: \Delta H = -74.8\: kJ$ $H_2(g)\rightarrow 2H(g);\Delta H = 435.4\: kJ$ $C(s) \rightarrow C(g);\Delta H = 718.4 \: kJ$

Question

$\begin {array} {1 1} (A)\;1664\: kJ/mol & \quad (B)\;1514.4\: kJ/mol \\ (C)\;416\: kJ/mol & \quad (D)\;378.6\: kJ/mol \end {array}$