The statements can be analyzed as follows:
A. Weight is the force of gravity on a body - This statement is true. Weight is defined as the gravitational force exerted on an object, which is dependent on both the mass of the object and the gravitational acceleration acting on it.
B. The mass of a body is the quantity of matter - This statement is also true. Mass quantifies the amount of matter in an object and does not change regardless of location.
C. The weight of a body is the greatest at the equator - This statement is false. While the equator does experience a stronger centrifugal force due to the Earth's rotation, the overall weight (which results from gravitational pull) is slightly less at the equator than at the poles.
D. The mass of a body is greatest at the poles - This statement is false. The mass of an object remains constant regardless of its location - it cannot change based on geographic location.
Therefore, the true statements are A and B.