The reaction is given by
[tex]\\ \sf\longmapsto {H_2\atop 432}+{O_2\atop 495}\longrightarrow {H_2O\atop 467\times 2=934}[/tex]
Now
Simplify energies
[tex]\\ \sf\longmapsto {H_2+O_2\atop 432+495=927KJ/mol}={H_2O\atop 934KJ/mol}[/tex]
As we know
[tex]\boxed{\sf \Delta H=\Delta H_1-\Delta H_2}[/tex]
Lets find
[tex]\\ \sf\longmapsto \Delta H=927-934[/tex]
[tex]\\ \sf\longmapsto \Delta H=-7KJ/mol[/tex]
As [tex]\Delta H[/tex] is -ve its an exothermic reaction.
Option B is correct