Question

Can a body have mass but no weight ? Give reason to your answer.

Answer 1

Yes, the situation is possible, like in space where there is zero gravity leaving zero weight of the body but mass will be there.

Answer 2

In free space there is no force of gravity. Then weight will be zero for a mass.  If one move in a vertical circle at high speed, it is possible that at the top point of the circle one feels weightless.