Identifying the Non-Capital City Among Indian States

The question asks us to find the city among the given options that does not serve as the capital of any state in India. Let's examine each option:

• Allahabad: Allahabad, officially known as Prayagraj, is a major city in the state of Uttar Pradesh. While it is historically significant and an important administrative center, it is not the capital of Uttar Pradesh. The capital of Uttar Pradesh is Lucknow.
• Ranchi: Ranchi is a prominent city and serves as the capital of the state of Jharkhand.
• Raipur: Raipur is a large city and functions as the capital of the state of Chhattisgarh.
• Dehradun: Dehradun is a city in Uttarakhand and is recognized as the capital of the state of Uttarakhand.

Based on the analysis of each option, we can see that Ranchi is the capital of Jharkhand, Raipur is the capital of Chhattisgarh, and Dehradun is the capital of Uttarakhand. Allahabad (Prayagraj) is a significant city in Uttar Pradesh, but the capital of Uttar Pradesh is Lucknow.

Therefore, among the given choices, Allahabad is the only city that is NOT a capital of any State in India.