To solve this question, the user needs to have knowledge of ancient cities and the current capital of India.

The correct answer is D. Delhi because it is the capital of modern India and one of the oldest cities in the world, with a history dating back over three thousand years.

Now, let's go through each option and explain why it is right or wrong:

A. Mumbai: This option is incorrect because Mumbai is not the capital of modern India. Although Mumbai is a major city in India, it is not one of the oldest cities in the world.

B. Hyderabad: This option is incorrect because Hyderabad is not the capital of modern India. Hyderabad is a major city in southern India, known for its historic landmarks and cuisine.

C. Kolkata: This option is incorrect because Kolkata is not the capital of modern India. Kolkata is a major city in eastern India, known for its rich history and cultural heritage.

D. Delhi: This option is correct because Delhi is the capital of modern India and has a long and rich history dating back over three thousand years. It has been the capital of many empires and is home to some of India's most important landmarks and monuments.

Therefore, the correct answer is: D. Delhi.

To solve this question, the user needs to have knowledge of the geography and history of India.

The main seaport of the state of Goa and the center of the former Portuguese colony is A. Vasco-da-Gama.

Option B, Cochin, is a seaport located in the state of Kerala, not Goa.

Option C, Mumbai, is a major port city in Maharashtra, located south of Goa.

Option D, Bangalore, is a landlocked city located in the state of Karnataka, far from any major seaports.

Therefore, the answer is: A. Vasco-da-Gama.