The word 'batch' typically refers to a group of things produced, dealt with, or processed together, especially in terms of quantity or time.
• Sentence I: The usage of "batch" is correct here. The term "batch of apples" refers to a group or collection of apples, which fits the meaning of "batch."
• Sentence II: This is also correct. "Batch of cookies" refers to a group of cookies that were made together in one go, which aligns with the definition of "batch."
• Sentence III: This usage is also correct. A "batch of papers" indicates a group of papers that need to be dealt with at the same time, which is an appropriate application of the word "batch."
Thus, the correct answer is option (e).