When 999^500 is divided by 5, the remainder is  Choose the correct choice from the following:  A) 0  B) remainder is 1  C) 2  D) 3  E) 4
999^500 is to be divided by 5   We can reduce the number to 4^500 (as the remainder of 999/5 is 4 and we can get the same remainder for 4^500 and 999^500 regardless of which is divided 5 )   Now, let's notice the pattern of remainders of powers of 4 when divided by 5   R{(4^1)/5} = 4   R{(4^2)/5} = 1   R{(4^3)/5} = 4   R{(4^4)/5} = 1   and so on   So, even powers of 4 give a remainder of 1   Hence, R{(4^500)/5} will be 1   R{(999^500)/5} will also be 1   Correct Option : remainder is 1
<result>B</result>
When 999^500 is divided by 5, the remainder is