Step 1: Understand the context of the sentence.
The sentence asks about a person’s ability to perform an action — in this case, riding a bicycle up a hill. Hence, the appropriate modal verb should indicate ability or possibility.
Step 2: Meaning of each option.
- (a) Can: Expresses ability or capability — correct in this context.
- (b) Should: Expresses advice or obligation — incorrect.
- (c) May: Expresses permission or possibility — not appropriate for ability.
- (d) Might: Expresses weak possibility — not suitable here.
Step 3: Grammar rule.
Use “can” to ask questions about what someone is able to do physically or mentally.
Example: “Can you swim?” / “Can you ride a bike?”
Step 4: Constructing the correct sentence.
The correct form is: “Can you ride your bicycle up to that hill?”
Step 5: Conclusion.
Thus, the correct modal verb is “can,” as it denotes ability.