x is discontinuous at points of rational numbers other than point 0,
x is continuous if there are more than 1 irrational number in contiguous form and also at point 0
A) False. If there are more than one irrational no in contiguous form then it is continuous
B) False. If there are rational number in between two irrational no , it is not continuous
C) False . Other than 0 no other rational number makes f(x) continuous
D)True. x=0 is rational number and x->-0 and x-> +0 are irrational number where f(x) is continuous