Final answer:
The negation of the statement "One exercises hard" in symbolic logic is represented by placing a negation symbol in front of 'S', resulting in ¬S, which corresponds to option a).
Step-by-step explanation:
The student has asked to express the statement "One does not exercise hard" symbolically, given that the statement "One exercises hard" is represented as S. The correct symbolic representation of the negation of this statement would be ¬S. This is commonly expressed in symbolic logic by placing a negation symbol (¬) in front of the original statement, which is represented here as 'S'. So, the answer to how you would symbolically represent "One does not exercise hard" is a) ¬S.