In AutoCAD (and other 3D modeling software), Boolean operations are used to combine or modify 3D solid objects or 2D regions based on set theory principles.
The standard Boolean commands for 3D solids in AutoCAD are:
UNION: Combines two or more selected solid objects into a single solid object. It represents the logical OR operation on the volumes.
SUBTRACT: Removes the volume of one set of solid objects (the objects to subtract) from another set of solid objects (the source objects).
INTERSECT: Creates a new solid object consisting only of the common volume (overlapping region) of two or more selected solid objects. It represents the logical AND operation on the volumes.
These three (UNION, SUBTRACT, INTERSECT) form the core set of Boolean operations on solids.
Let's look at the options:
(a) union: This is a standard Boolean command.
(b) subtract: This is a standard Boolean command.
(c) intersect: This is a standard Boolean command.
(d) divide: The `DIVIDE` command in AutoCAD is used to place points or blocks at equally spaced intervals along the length or perimeter of an object (like a line, arc, polyline). It is a drafting or annotation tool, not a Boolean operation for combining or modifying the geometry of solids or regions in the way UNION, SUBTRACT, or INTERSECT do.
Therefore, the command `DIVIDE` does not belong to the Boolean group of operations in AutoCAD for solids/regions.
\[ \boxed{\text{divide}} \]