Two metals `(A)` and `(B)` belong to the same group of the periodic table. Metal `(A)` forms and insoluble oxide but a soluble sulphate, metal `(B)` forms a soluble oxide but an insoluble oxide but an insoluble sulphate. Both metals `(A)` and `(B)` form hydroxides which are soluble in alkalis. `(A)` and `(B)` are

Options

A. `P=Be, Q=Ba`
B. `P=Mg, Q=Ca`
C. `P=Ca, Q=Sr`
D. `P=Ba, Q=Mg`

Answer

To solve the problem, we need to identify the two metals (A) and (B) based on the properties described in the question.

### Step-by-Step Solution:

1. **Identify the Group of Metals**:
- The question states that both metals (A) and (B) belong to the same group of the periodic table.
- Metals in the same group often have similar chemical properties.

2. **Analyze Metal A**:
- Metal (A) forms an **insoluble oxide** and a **soluble sulfate**.
- The characteristics of metal (A) suggest it could be **Beryllium (Be)**, which forms **BeO** (insoluble) and **BeSO4** (soluble).

3. **Analyze Metal B**:
- Metal (B) forms a **soluble oxide** and an **insoluble sulfate**.
- This description fits **Barium (Ba)**, which forms **BaO** (soluble) and **BaSO4** (insoluble).

4. **Check Hydroxide Solubility**:
- The question also mentions that both metals form hydroxides that are soluble in alkalis.
- Beryllium hydroxide (Be(OH)2) can be amphoteric and soluble in strong alkalis, while Barium hydroxide (Ba(OH)2) is soluble in water.

5. **Conclusion**:
- Based on the properties analyzed, we conclude that:
- Metal (A) is **Beryllium (Be)**.
- Metal (B) is **Barium (Ba)**.

Thus, the answer is **Beryllium (Be)** and **Barium (Ba)**.

### Final Answer:
(A) Beryllium (Be) and (B) Barium (Ba).

---