3 digit numbers that are divided by 4 are : 100,104,108,................,992,996 Above series is an A.P. with first term, $$a=100$$, common difference, $$d=4$$ and last term, $$l=996$$ Thus, $$n^{th}$$ term of an A.P., $$A_n=a+(n-1)d$$ => $$100+(n-1)4=996$$ => $$(n-1) imes4=996-100=896$$
=> $$(n-1)=frac{896}{4}=224$$ => $$n=224+1=225$$ $$ herefore$$ There are 225 three digit numbers that are divided by 4. => Ans - (A)