This problem is stating a situation in which a solid object is fully immersed in a liquid and the buoyant force is larger that its weight, so that you need to discuss whether this is possible or not.
In general terms, it is necessary to keep in mind that when the buoyant force is larger than its weight, the object will float. On the other side, when the buoyant force is smaller than the weight, then the object will sink.
It means that it could be possible to have this scenario under specific conditions. Now, the Archimedes' principle can be applied with the following version:
[tex]F_B+W>m_{obj}*a\\\\\rho _{fluid}*V*g+m_{obj}*g>m_{obj}*a\\\\\rho _{fluid}*V-m_{obj}>m_{obj}*a[/tex]
It means that the object can move down the liquid if has a significant acceleration (could be external), even when the buoyant force is larger than the weight
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