IMO C
To determine whether Cory purchased his item on the first day, let's analyze the given statements.
Given Information:
Every clearance item was shipped with standard shipping.
Every item shipped with rush shipping was non-clearance.
Statement (1):
Standard shipping was the only method of shipping used for items purchased on the first day.
This means that all items purchased on the first day were shipped with standard shipping. However, this statement alone does not provide any information about whether Cory's item was purchased on the first day or the second day. We need more information about Cory's item to make a determination.
Statement (2):
The item Cory purchased was a clearance item.
Since Cory's item was a clearance item, it must have been shipped with standard shipping. However, this statement alone does not provide information about which day Cory purchased his item. Both days could have clearance items shipped with standard shipping.
Combining Statements (1) and (2):
From Statement (1), we know that standard shipping was the only method of shipping used for items purchased on the first day.
From Statement (2), we know that Cory's item was a clearance item, which means it was shipped with standard shipping.
Given that standard shipping was the only method used on the first day, and Cory's item was shipped with standard shipping (because it was a clearance item), it is logical to conclude that Cory must have purchased his item on the first day. If Cory had purchased his item on the second day, there would be no restriction on the shipping method, but since standard shipping was exclusively used on the first day, it aligns with the information provided.
Conclusion:
Both statements together are sufficient to determine that Cory purchased his item on the first day. Therefore, the correct answer is:
(C) Both statements together are sufficient.