The correct answer to the question you asked is B. The water you displace will weigh less, as the moon's gravity is less, therefore you would need less *weight*.
If, on the other hand, you were intending to ask how much *mass* you'd need, the answer would have been "c) The same mass". Assuming you were in the same gear as you use on your terrestrial dives, you would displace the same volume of water. That water may weigh less, but so will your weights. No changes are necessary.
Now, on the third hand, if you'd intended to ask how much *mass* you'd need, *and* you were trying to make it a pedantic trick question, the answer would be B, but only by the slightest of margins. As water is *not* perfectly incompressible, the reduced weight of the water would mean that the water is slightly less dense, therefore you would displace less mass at a given depth, measured with a line or what-have-you, as your terrestrial depth gauge would not be calibrated for lunar diving.
(As the weight of a given mass on the moon is approximately 1/6 of the weight on the surface of the earth of that same mass, the pressure will increase with depth at 1/6 the rate it does on earth. Assuming 1 ata ambient pressure at the surface, your "15 foot" safety stop would actually be at 90 feet, and the "130 foot" customary recreational limit would be 780 feet down. Your "30 fpm" ascent rate limit would be 180 fpm. It would, therefore, be a total *hoot* to dive the moon.)