Step 1: Analysis of Statement I.
Sucrose is dextrorotatory in nature.
On hydrolysis, sucrose breaks down into equimolar amounts of glucose and fructose, forming invert sugar.
The resulting solution shows laevorotation.
Hence, Statement I is correct.
Step 2: Analysis of Statement II.
Glucose is dextrorotatory, whereas fructose is strongly laevorotatory.
The magnitude of laevorotation of fructose is greater than the dextrorotation of glucose.
Therefore, the net rotation of the mixture becomes laevorotatory.
Hence, Statement II is also correct.
Step 3: Final conclusion.
Both Statement I and Statement II are true.
Final Answer:
\[
\boxed{\text{Both Statement I and Statement II are true}}
\]