A farmer raising cattle for beef production has divided his range into four quadrants of equal size which quadrant of range land has an overgrazing likely occur

The quadrant with more probabilities of overgrazing would be the one in which the drinkers and the rest zone is.

Explanation:

When a farmer has cattle for beef, most of them divide the land in quarters and limit each of them, this is to keep the cattle in only one quarter to make sure they eat all the forages in there and then they pass to the next quarter, this gives the other quarters (the forage) time to grow properly.

If the farmer uses all the four quarters, the natural behavior of the cattle would make the quarter that has the drinkers and the rest zone to be more likely to have an overgrazing.

This is because cows look for their aliments near them and near their comfort zone, they only move when the forage of that area is over.