Directions: In each item, choose the word that completes both sentences appropriately.

(I) Through daily rehearsal, novice pianists ________ greater control over their fingers.
(II) In a darkroom, the photographs slowly ________ after the film is processed.

The correct option is develop.

Step-by-Step Explanation:

We are looking for a single word that logically and grammatically fits into both given sentences.

1. Analyzing Sentence (I):
"Through daily rehearsal, novice pianists ________ greater control over their fingers."
In this context, the missing word must mean to gradually acquire, gain, or expand a physical skill or capability over time through practice. To develop control means to build and improve motor coordination and finger dexterity.

2. Analyzing Sentence (II):
"In a darkroom, the photographs slowly ________ after the film is processed."
In photography, to develop is a technical process wherein chemically treated exposed film brings out the visible image on photographic paper.

3. Evaluating the Options:
• emerge: While photos might visually emerge, using "emerge control" in sentence (I) is grammatically incorrect.
• develop: Fits both sentences accurately in both context and grammatical function.
• preserve: Beginners seek to build new control rather than preserve existing control; photos do not "preserve" themselves in a darkroom process.
• cultivate: While one can cultivate a skill, photos cannot "cultivate" in a darkroom.
• assemble: Neither gaining physical control nor the chemical appearance of photos involves assembling parts.

Therefore, the word develop is the only option that appropriately completes both sentences.