To answer the question "Which of the following will not show mutarotation?" we need to understand the concept of mutarotation in carbohydrates.
Mutarotation is the change in the optical rotation because of the change in equilibrium between two anomers, when the corresponding stereocenters interconvert. This phenomenon is observed in carbohydrates that have a free aldehydic or ketonic group, typically hexoses like glucose, or disaccharides like maltose, which are capable of ring-opening to form an open-chain form.
Hence, the correct answer is Sucrose, as it does not show mutarotation due to the absence of a free anomeric carbon that can participate in ring-opens, unlike the other options.