if x>y>0, then 999^x-999^y divided by 1000 leaves remainder, what are the nos of remainders that comes?

• if x,y value is odd= rem is 0, if x,y value is even= rem is 0.
  if x, y value is odd and even=rem is 998, -998.
  by using this rem theorem, a^x/a+1.
  so ans= 3.
• 10 years agoHelpfull: Yes(8) No(0)
• answer is 3
  because we can write 999 as 1000-1
  and then we can try for even and odd powers of x and y
  where 3 cases arise
  when y=odd and x= even
  and when y=even and x=odd
  and when x and why both are even
  
  u will get remainders as 2, 998 and 0
  
• 10 years agoHelpfull: Yes(6) No(1)