To have ΔE = q = ΔH, work (w) must be done. Work would be done if, for instance, the pressure changes because more gas is produced or consumed compared to what you started with.
In the given choices:
For which one of the following reactions will ΔH be approximately (or exactly) equal to ΔE?
H2(g) + Br2(g) → 2HBr(g)
H2O(l) → H2O(g)
CaCO3(s) → CaO(s) + CO2(g)
2H(g) + O(g) → H2O(l)
CH4(g) + 2O2(g) → CO2(g) + 2H2O(l)