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The apparent weight of a body is :
A) May be positive
B) May be negative
C) May be zero
D) Is always positive

Answer
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Hint: The normal force is equal to your apparent weight. So, you actually feel a little heavier than normal when the lift accelerates upward, and the acceleration is lighter than normal when down.

Complete Step by step answer: Apparent weight is a property of objects that corresponds to how heavy the object is. This can be negative if the force of the buoyancy exceeds the weight when placed in the fluid. We have to apply some external force to balance.

Hence option A ,B and C are correct

Additional Information: Newton's first law, also called the law of inertia, defines a particular class of reference frame, called the inertial frame. This states that, when viewed in an inertial reference frame, an object remains at rest and an object continues to move with constant velocity in motion until it is acted upon by an external net force. Newton's second law and Newton's third law correctly describe the motion of objects as observed by observers in the inertial reference frame.
In an inertial frame F = ma, where the net force F is the vector sum of all real known forces acting on an object of mass m. If an observer resting in a quick frame wants to use F = ma to predict the speed of an object in its reference frame, F not only has to include the vector sum of all real known forces acting on the object, But there is also a fictitious force. Fictitious forces are reflected in the accelerating frame.
In the accelerating frame of the car, you experience the fictitious force in the backward direction and your weight, pointing down.  The net force experienced is the vector sum of these two forces.  This force becomes your apparent weight, which points in a direction backward and down. The apparent weight of an accelerating object is the vector sum of its real weight and the negative of all the forces that produce the object's acceleration 
a = dv/dt, Apparent = Wreal – ma

Notes: Apparent weight is a property of objects that corresponds to the weight of an object. The apparent weight of an object will be different from the weight of an object whenever the force of gravity on an object is not equal but balanced by the normal force.
By definition, the weight of an object is equal to the magnitude of the gravitational force acting on it. This means that a "weightless" astronaut in low Earth orbit, with an apparent weight of zero, weighs almost as much as it stands on the ground; This is due to the force of gravity in low Earth orbit and is almost uniform on the ground.