The correct answer is D. P, Q, S.
P: I and II are diastereomers. This is true because they have the same molecular formula but different configurations at one or more stereogenic centers.
Q: I and IV are mesomers and are optically inactive. This is true because they have two identical chiral centers and the two enantiomers cancel each other out.
S: only I and IV are HlO4 cleavable. This is true because they have an acetal group that can be cleaved by HlO4.
R: I and III can be interconverted by a base catalysed isomerisation. This is false because I and III are mesomers and cannot be interconverted by a base catalysed isomerisation.
T: I and III are D-sugars and II and IV are L-sugars. This is false because I and IV are mesomers and do not have a specific D or L configuration.
Here is a diagram of the aldotetroses I-IV:
The chiral centers are marked with asterisks.
I and II are diastereomers because they have different configurations at the C2 chiral center.
I and IV are mesomers because they have two identical chiral centers and the two enantiomers cancel each other out.
I and IV have an acetal group that can be cleaved by HlO4.
I and III cannot be interconverted by a base catalysed isomerisation because they are mesomers.
I and IV are not D or L sugars because they are mesomers.