The question revolves around the characteristics and usage of modal verbs in English grammar. Let's analyze both statements:
Modal verbs such as can, could, may, might, must, shall, should, will, would do not change form based on the subject or tense. They indeed have only one form and do not take -ing or -ed endings, and don't convert for third person singular (e.g., it is can and not cans).
Hence, Statement I is true.
Generally, modal verbs are followed by the base form of the verb, not the past participle. For example:
Based on this explanation, Statement II is false.
Conclusion: Combining the analysis, Statement I is true but Statement II is false, making the correct answer: "Statement I is true but Statement II is false."
Choose the correct option to fill in the blank: She is good ………….. mathematics.