Find out of compounds which show mutarotation
(A) Cellobiose
`(4-O-(beta-D-"glucopyranosyl")-D-"glucophranose)`
(B) Maltose
`(4-O-(alpha-D-"glucopyranosyl")-D-glucopyranose)`
(C) Lactose
`(4-O-(beta-D-"galactopyranosyl")-D-"glucopyranose")`
(D) Gentiobiose
`(6-O-(beta-D-"glucopyranosyl")-D-"glucopyranose")`
(E) Sucrose
`(alpha-D-"glucopyranosyl"-beta-D-"fructofuranoside")`
(F) Methyl `alpha-D-"galactopyranoside"`.
(G) `alpha-D-` allopyranose
(G) `alpha-D-` glucopyranose
(I) `alpha-D-` fructofuranose

Explanation

To determine which compounds show mutarotation, we need to understand the concept of mutarotation and the structural characteristics of the compounds listed.

### Step-by-Step Solution:

1. **Understanding Mutarotation**:
- Mutarotation is the change in the optical rotation of a solution as it equilibrates between different anomers (isomers that differ at the anomeric carbon) of a sugar. This phenomenon occurs in sugars that have a free hydroxyl (-OH) group at the anomeric carbon.

2. **Identifying the Compounds**:
- We will analyze each compound listed in the question to check if they have a free -OH group and if they end with "ose".

3. **Analyzing Each Compound**:
- **(A) Cellobiose**:
- Structure: 4-O-(beta-D-glucopyranosyl)-D-glucopyranose
- Ends with "ose" and has a free -OH group.
- **Conclusion**: Shows mutarotation.

- **(B) Maltose**:
- Structure: 4-O-(alpha-D-glucopyranosyl)-D-glucopyranose
- Ends with "ose" and has a free -OH group.
- **Conclusion**: Shows mutarotation.

- **(C) Lactose**:
- Structure: 4-O-(beta-D-galactopyranosyl)-D-glucopyranose
- Ends with "ose" and has a free -OH group.
- **Conclusion**: Shows mutarotation.

- **(D) Gentiobiose**:
- Structure: 6-O-(beta-D-glucopyranosyl)-D-glucopyranose
- Ends with "ose" and has a free -OH group.
- **Conclusion**: Shows mutarotation.

- **(E) Sucrose**:
- Structure: alpha-D-glucopyranosyl-beta-D-fructofuranoside
- Ends with "ose" but does not have a free -OH group due to the presence of a glycosidic bond at the anomeric carbon.
- **Conclusion**: Does not show mutarotation.

- **(F) Methyl alpha-D-galactopyranoside**:
- Does not end with "ose" and is a methyl glycoside, which means it does not have a free -OH group at the anomeric carbon.
- **Conclusion**: Does not show mutarotation.

- **(G) alpha-D-allopyranose**:
- Ends with "ose" and has a free -OH group.
- **Conclusion**: Shows mutarotation.

- **(H) alpha-D-glucopyranose**:
- Ends with "ose" and has a free -OH group.
- **Conclusion**: Shows mutarotation.

- **(I) alpha-D-fructofuranose**:
- Ends with "ose" and has a free -OH group.
- **Conclusion**: Shows mutarotation.

4. **Final List of Compounds Showing Mutarotation**:
- Cellobiose
- Maltose
- Lactose
- Gentiobiose
- alpha-D-allopyranose
- alpha-D-glucopyranose
- alpha-D-fructofuranose

### Summary:
The compounds that show mutarotation are:
- Cellobiose
- Maltose
- Lactose
- Gentiobiose
- alpha-D-allopyranose
- alpha-D-glucopyranose
- alpha-D-fructofuranose