Answer: (D) 0.025 mol 
Explanation:
The given balanced equation is :

According to stoichiometry :
4 moles of ammonia
reacts with = 5 moles of oxygen 
Thus 0.30 moles of ammonia
reacts with =
moles of oxygen 
Now as given moles of oxygen are more than the required amount, oxygen is the excess reagent.
moles of oxygen
left = 0.40 - 0.375 = 0.025
Thus 0.025 mol
excess reagent remains.