How many 3 digit numbers are completely divided by 4.

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., $$A_n=a+(n-1)d$$

=> $$100+(n-1)4=996$$

=> $$(n-1)\times4=996-100=896$$

=> $$(n-1)=\frac{896}{4}=224$$

=> $$n=224+1=225$$

$$\therefore$$ There are 225 three digit numbers that are divided by 4.

=> Ans - (A)