During the bilateral 2+2 dialogue held in April this year, the two countries agreed to ___________ the possibilities of using Indian shipyards for the repair and maintenance of ships of the U.S. Military Sealift Command.
Here, the two countries agreed to find out the possibilities. Hence, explored/scout is correct. Impede- to make it more difficult for something to happen or more difficult for someone to do something. Ransack- to search a place or container in a violent and careless way. Exhume- to remove a dead body from the ground after it has been buried. During the bilateral 2+2 dialogue held in April this year, the two countries agreed to explore/scout the possibilities of using Indian shipyards for the repair and maintenance of ships of the U.S. Military Sealift Command.