The correct option is A an inertial frame
When a body is standing on a merry-go-around which is rotating uniformly in a horizontal plane. His frame of reference is an inertial frame because a system of co-ordinates whose axes can be suitably chosen is said to be a frame of reference. In general we have to solve the problem of mechanics using inertial frame, which was said that the same time it is possible to solve the same problem using a non-inertial frame, this example, the motion. This example, the motion, centripetal acceleration is present therefore strictly speaking any frame or reference fixed on the merry-go-round can not be taken as an inertial frame where the acceleration will be zero and speed will be uniform.