The correct options are
A If the specific rotation (α) of X,Y and M are +52∘,−74∘ and +29∘ respectively, the mixture of X and Y, obtained upon hydrolysis of M is laevorotatory
B M is a non-reducing sugar
M is a non-reducing sugar as it do not have an OH group attached to the anomeric carbon so it cannot reduce other compounds.
On hydrolysis, M gives one aldohexose and one ketopentose.
0.171 g (0.171342=0.0005 mol) of M requires 0.0005×8×102=0.408 of acetic anhydride for complete acetylation.
If the specific rotation (α) of X,Y and M are +52∘,−74∘ and +29∘ respectively, the mixture of X and Y, obtained upon hydrolysis of M is laevorotatory
This is because the magnitude of specific rotation of Y is more than that of X.