The correct options are
A Weight of an object on earth is the force of attraction by the Earth on that object.
B Weight pulls the object downward.
C Weight of an object on the Earth is different from the weight of the same object on the Moon.
The weight of an object is the force of attraction of Earth on that object. Since it is the force of attraction acting towards the centre of attraction, so weight acts downwards.
Weight is the product of mass and acceleration due to gravity. So, it depends on acceleration due to gravity and acceleration due to gravity on the moon is 1/6 of that of Earth. Thus weight on the moon will be less.