Which of the following reactions of glucose can be explained only by its cyclic structure?

Considering the facts that
$I$. sucrose forms glycosidic linkage between $C_1$ of glucose and $C_2$ of fructose,while
$II$. lactose forms glycosidic linkage between $C_1$ of galactose and $C_4$ of glucose.
Choose the correct statement.

How many moles of acetic acid are obtained in the reaction when one mole of glucose is treated with excess acetic anhydride (in $moles$)?

$\alpha -D(+)$ Glucose and $\beta -D(+)$ Glucose are

Assertion : Hydrolysis of sucrose is known as inversion of cane sugar.
Reason : Sucrose is a disaccharide.

Four carbohydrates: glucose,lactose,sucrose,and starch are present. Different tests are carried out with these $4$ carbohydrates separately. The following observations are made:
$(a)$ Heated: It is charred.
$(b)$ $I_2$ solution: No violet colour.
$(c)$ Fehling solution: Reddish brown precipitate is observed.
$(d)$ It does not reduce copper$(II)$ acetate to $Cu_2O$. No red precipitate is observed in $5 \ min$.
Which carbohydrate satisfies all the above observations?