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24 Dec 2024, 09:00
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E
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Difficulty:
65%
(hard)
Question Stats:
57% (01:41) correct
43%
(01:38)
wrong
based on 293
sessions
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12 Days of Christmas 2024 - 2025 Competition with $40,000 of Prizes
A certain online store sold a number of items over the course of two consecutive days and shipped each item on the day it was sold. During those two days, every clearance item was shipped with standard shipping, and every item that was shipped with rush shipping was non-clearance. Did Cory purchase his item on the first day?
(1) Standard shipping was the only method of shipping used for items purchased on the first day.
(2) The item Cory purchased was a clearance item.
A certain online store sold a number of items over the course of two consecutive days and shipped each item on the day it was sold. During those two days, every clearance item was shipped with standard shipping, and every item that was shipped with rush shipping was non-clearance. Did Cory purchase his item on the first day?
(1) Standard shipping was the only method of shipping used for items purchased on the first day.
(2) The item Cory purchased was a clearance item.
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24 Dec 2024, 10:00
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Bunuel
Manhattan Prep Official Explanation:
Since there is no real math involved, this is a Data Sufficiency Logic problem. Take careful note of the givens and what the question stem asks:
Items sold on Day 1 or Day 2
Clearance items → standard shipping
Rush shipping → non-clearance
Was Cory’s item purchased Day 1? (yes/no)
Statement (1): INSUFFICIENT. This statement does not give you any information about the item Cory purchased. It is possible that Cory purchased an item that was shipped with standard shipping and was shipped on the first day, but it is also possible that Cory purchased an item that was shipped with rush shipping and therefore could NOT have been shipped on the first day.
Statement (2): INSUFFICIENT. This statement tells you that Cory purchased a clearance item, and the stem states that all clearance items were shipped with standard shipping. But neither statement (2) nor the stem gives you any information regarding the days that featured standard shipping.
Statements (1) and (2) Together: INSUFFICIENT. Cory purchased a clearance item, all clearance items were shipped with standard shipping, and standard shipping was the only method of shipping used on the first day. But it is still possible that items purchased on the second day were also shipped with standard shipping.
In the visualization below the only viable clearance items are part of the standard shipping space. Additionally, Day 1 items must be part of the standard shipping space. The star represents one item that Cory could have purchased, one that is a clearance item with standard shipping and that was NOT purchased on the first day. The check mark represents another item that Cory could have purchased, one that is a clearance item with standard shipping and that was purchased on the first day.
The correct answer is (E): Statements (1) and (2) together are not sufficient.
Attachment:
GMAT-Club-Forum-f6f34ac6.png [ 48.67 KiB | Viewed 647 times ]
General Discussion
24 Dec 2024, 09:22
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Given Information:
Over two consecutive days, items were sold and shipped on the same day.
Clearance items were shipped with standard shipping only.
Rush shipping was used only for non-clearance items.
Question:
Did Cory purchase his item on the first day?
Statement (1):
Standard shipping was the only method of shipping used for items purchased on the first day.
Analysis:
If standard shipping was the only method used on the first day, it implies:
All items sold on the first day could be either clearance or non-clearance but were shipped only with standard shipping.
However, this does not give us any information about whether Cory purchased his item on the first day or the second day. We do not know the type of item (clearance or non-clearance) Cory purchased or whether it was shipped with standard or rush shipping.
Statement (1) is insufficient.
Statement (2):
The item Cory purchased was a clearance item.
Analysis:
If Cory’s item was a clearance item, it must have been shipped with standard shipping (per the given information). However, this does not tell us whether the item was purchased on the first day or the second day, as both days could have involved standard shipping.
Statement (2) is insufficient.
Combining Statements (1) and (2):
From Statement (1), we know that only standard shipping was used on the first day.
From Statement (2), we know Cory’s item was a clearance item, which means it was shipped with standard shipping.
If Cory’s item was shipped with standard shipping, it could have been purchased on either day, as standard shipping applies to clearance items on both days. There is no additional information linking Cory’s purchase specifically to the first day.
Even together, the statements are insufficient.
Final Answer:
The statements together are not sufficient to answer the question.
Answer: E.
Over two consecutive days, items were sold and shipped on the same day.
Clearance items were shipped with standard shipping only.
Rush shipping was used only for non-clearance items.
Question:
Did Cory purchase his item on the first day?
Statement (1):
Standard shipping was the only method of shipping used for items purchased on the first day.
Analysis:
If standard shipping was the only method used on the first day, it implies:
All items sold on the first day could be either clearance or non-clearance but were shipped only with standard shipping.
However, this does not give us any information about whether Cory purchased his item on the first day or the second day. We do not know the type of item (clearance or non-clearance) Cory purchased or whether it was shipped with standard or rush shipping.
Statement (1) is insufficient.
Statement (2):
The item Cory purchased was a clearance item.
Analysis:
If Cory’s item was a clearance item, it must have been shipped with standard shipping (per the given information). However, this does not tell us whether the item was purchased on the first day or the second day, as both days could have involved standard shipping.
Statement (2) is insufficient.
Combining Statements (1) and (2):
From Statement (1), we know that only standard shipping was used on the first day.
From Statement (2), we know Cory’s item was a clearance item, which means it was shipped with standard shipping.
If Cory’s item was shipped with standard shipping, it could have been purchased on either day, as standard shipping applies to clearance items on both days. There is no additional information linking Cory’s purchase specifically to the first day.
Even together, the statements are insufficient.
Final Answer:
The statements together are not sufficient to answer the question.
Answer: E.
