Which of the following oxides reacts with both HCl and NaOH?

Options

A. `Zn(OH)_(2)`
B. `BeO`
C. `Al_(2)O_(3)`
D. All of these

Explanation

To solve the question "Which of the following oxides reacts with both HCl and NaOH?" we need to identify the amphoteric nature of the given oxides. Amphoteric substances can react with both acids and bases.

### Step-by-Step Solution:

1. **Understanding the Reactants**:
- We have two reactants: HCl (hydrochloric acid) and NaOH (sodium hydroxide).
- HCl is an acid, and NaOH is a base.

2. **Identifying Amphoteric Oxides**:
- An oxide that can react with both an acid and a base is termed amphoteric.
- We need to check the amphoteric nature of the given options: zinc hydroxide, beryllium oxide, and aluminium oxide.

3. **Analyzing Each Option**:
- **Zinc Hydroxide (Zn(OH)₂)**:
- Zinc hydroxide is known to be amphoteric. It reacts with acids to form zinc salts and with bases to form zincates.
- **Beryllium Oxide (BeO)**:
- Beryllium oxide is also amphoteric. It can react with acids to form beryllium salts and with bases to form beryllates.
- **Aluminium Oxide (Al₂O₃)**:
- Aluminium oxide is another amphoteric oxide. It reacts with acids to form aluminium salts and with bases to form aluminates.

4. **Conclusion**:
- Since all three compounds (zinc hydroxide, beryllium oxide, and aluminium oxide) are amphoteric, they can react with both HCl and NaOH.
- Therefore, the correct answer is **option 4: all of these**.