The statement "Mass of a body remains constant anywhere in the universe" is True.
Explanation: Mass is a fundamental property of matter and does not change based on location or external factors such as gravity. Whether a body is on Earth, the Moon, or in deep space, its mass remains the same.
However, weight, which is the force exerted by gravity on an object, can vary depending on the gravitational pull of the celestial body the object is on. For example, an object's weight on the Moon is only about one-sixth of its weight on Earth due to the difference in gravitational force. But mass remains constant regardless of location.
Therefore, the correct answer is: A. True.