Astronomical unit denotes roughly the distance from Earth to the Sun. Parsec is a unit of length used to measure the large distances to astronomical objects outside the Solar System. A light-year is another large unit of length used to express astronomical distances.
The relation between these units are as follows:
1 Parsec =2×105Au
1Au=1.58×10−5ly
Thus, 1Au< ly < Parsec .
Hence, Statements I is true but Statements II is false.