Question:
The decimal expansion that a rational number cannot have is
(a) $0.25$
(b) $0.25 \overline{28}$
(c) $0 . \overline{2528}$
(d) $0.5030030003$
Solution:
As, any number which have a terminating or non-terminating recurring decimal expansion is a rational number.
So, 0.5030030003... which is non-termintaing non-recurring decimal expansion is not a rational number.
Hence, the correct option is (d).