This question tests your understanding of modal verbs and their usage to express ability and future possibility in English.

Concept Explanation:

The sentence structure presents two contrasting time frames: present ability and future possibility.

Step 1: Analyzing the first blank

The first part states "I _____ speak English well now". The word "now" indicates the present tense. The context suggests a lack of current ability because it contrasts with the hope for the future. The appropriate modal verb to express inability in the present is "can't".

Step 2: Analyzing the second blank

The second part states "but I hope I _______ speak next year". The phrase "next year" indicates the future tense. The verb "hope" expresses a desire for a future ability. The appropriate phrase to express future ability is "shall be able to". "Shall" is used with "I" and "we" to indicate future tense, and "be able to" is a phrase that expresses ability.

Why the other options are incorrect:

• may/may: "May" expresses permission or possibility, not ability. It doesn't fit the context of learning a skill.
• am able to/shall have to: "Am able to" expresses current ability, which contradicts the context. "Shall have to" expresses future obligation (must do something), not ability (can do something).
• must/shall have to: "Must" expresses strong obligation or necessity in the present. "Shall have to" also expresses future obligation. Neither expresses ability.

Final Answer: The most appropriate option is can't/shall be able to.

Related Topics & Formulae (Theory):

Modal Verbs: These are auxiliary verbs that express necessity, possibility, permission, or ability. Common modals include can, could, may, might, must, shall, should, will, would.

Expressing Ability:

• Present: can / can't (cannot) / am (is, are) able to
• Future: will be able to / shall be able to

Expressing Obligation:

• Present: must / have to / has to
• Future: will have to / shall have to