In this question, we are given four options and we have to identify the pair that is not correctly matched.

Option 1: Indira Gandhi Rashtriya Uran Akademi (IGRUA) is correctly matched with Fursatganj. IGRUA is a flying training institute located in Fursatganj, Uttar Pradesh.

Option 2: National Flying Training Institute is incorrectly matched with BeJgaum. There is no institute with this name in BeJgaum or any other location. Alert - correct answer should be National Flying Training Institute: Gondia. National Flying Training Institute is actually located in Gondia, Maharashtra.

Option 3: National Institute of Hydrology is correctly matched with Roorkee. The National Institute of Hydrology is located in Roorkee, Uttarakhand and conducts research and provides training in the field of hydrology.

Option 4: National Water Academy (Headquarters) is correctly matched with Khadakwasla. The National Water Academy, which is the training institute of the Central Water Commission, is located in Khadakwasla, Pune.

Therefore, the correct answer is option 2, as the pair National Flying Training Institute: BeJgaum is not