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Do all reducing sugars show mutarotation?

I studied that for a sugar to be reducing it must possess a free aldehydo or keto group. Also, for a mutarotation interconversion between α- and β-forms of compound are required.

If there is a free aldehydo group or keto group in the compound must it show mutarotation?

Note: I am a high school student so please try to explain in a simpler manner.

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The compounds having hemiacetal in their structure give mutarotation.

Generally, all monosaccharides (glucose, fructose, ribose, arabinose, …) and disaccharides (lactose, maltose, …) give mutarotation, except sucrose.

Sucrose, despite being a disaccharide, fails to give mutarotation because it doesn't contain hemiacetal.

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