Bhopal, Panaji, Gandhinagar — These are all Indian state capitals. From the options, pick the one that also names an Indian state capital.

Introduction / Context:
This analogy-style classification asks you to recognize that the given list comprises Indian state capitals: Bhopal (Madhya Pradesh), Panaji (Goa), and Gandhinagar (Gujarat). The task is to select another capital from the options provided.

Given Data / Assumptions:

• Bhopal → Madhya Pradesh.
• Panaji → Goa.
• Gandhinagar → Gujarat.
• We must choose an option that is itself a state capital.

Concept / Approach:
Check each option against current capital lists. Patna is the capital of Bihar. Amritsar is a major city in Punjab (capital: Chandigarh shared; Chandigarh is a Union Territory). Allahabad has been officially renamed Prayagraj and is not a state capital (capital of Uttar Pradesh is Lucknow). Baroda (Vadodara) is a major city in Gujarat; the capital is Gandhinagar.

Step-by-Step Solution:
1) Identify the pattern “state capitals.”2) Verify each option’s status.3) Select “Patna.”

Verification / Alternative check:
Contemporary civics references list Patna as Bihar’s capital; the others listed are prominent cities but not state capitals.

Why Other Options Are Wrong:

• Amritsar: Not the state capital; Chandigarh serves Punjab (shared with Haryana).
• Allahabad (Prayagraj): Not the capital; Lucknow is.
• Baroda (Vadodara): Not the capital; Gandhinagar is.

Common Pitfalls:
Assuming the largest or most famous city is the capital. Always confirm the administrative seat.

Final Answer:
Patna