Statement I : $\alpha -$ D(+) Glucose and $\beta$  - D(+) Glucose are pair of diastereomers
Statement II : Rate of enzyme catalysed hydrolysis of sucrose is faster than rate of acid catalysed hydrolysis of sucrose 

Both $\alpha -$ D(+) Glucose and  $\beta$ - D(+) Glucose are non super imposable non mirror images. Hence both are diastereomers. 

Activation energy for the acid catalysed hydrolysis of sucrose is 6.22 KJ mol⁻, while the activation energy is only 2.15 KJ mol⁻ when hydrolysis is catalysed by the enzyme sucrase.