The correct answer is (a) Rae Bareli.
The Railway Coach Factory in Uttar Pradesh is being established at Rae Bareli. The factory will be built on a 1,000-acre site and will have a capacity to produce 400 coaches per year. The factory is expected to create employment for over 10,000 people.
Rae Bareli is a city in the Indian state of Uttar Pradesh. It is the administrative headquarters of Rae Bareli district. The city is located on the banks of the River Ganges. Rae Bareli is a major railway junction and is well-connected to other parts of the country by road and rail.
The city is home to a number of historical and religious sites, including the Jama Masjid, the Clock Tower, and the Gandhi Smriti. Rae Bareli is also known for its handloom industry.
The Railway Coach Factory in Rae Bareli is a major infrastructure project that will boost the economy of the region. The factory will create employment for thousands of people and will help to improve the infrastructure of the city. The factory will also help to promote the development of the railway sector in India.
The other options are incorrect because:
(b) Noida is a city in the Indian state of Uttar Pradesh. It is a major industrial and IT hub. Noida is not located on the banks of the River Ganges.
(c) Kanpur is a city in the Indian state of Uttar Pradesh. It is the largest city in the state after Lucknow. Kanpur is located on the banks of the River Ganges. However, there is no plan to establish a Railway Coach Factory in Kanpur.
(d) Amethi is a city in the Indian state of Uttar Pradesh. It is the parliamentary constituency of former Prime Minister of India, Rajiv Gandhi. Amethi is not located on the banks of the River Ganges.