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Shipping Clerk: The five specially ordered shipments sent out last week were sent out on Thursday. Last week, all of...

GMAT Critical Reasoning : (CR) Questions

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Critical Reasoning
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Shipping Clerk: The five specially ordered shipments sent out last week were sent out on Thursday. Last week, all of the shipments that were sent out on Friday consisted entirely of building supplies, and the shipping department then closed for the weekend. Four shipments were sent to Truax Construction last week, only three of which consisted of building supplies.

If the shipping clerk's statements are true, which of the following must also be true?

A
At least one of the shipments sent to Truax Construction last week was specially ordered.
B
At least one of last week's specially ordered shipments did not consist of building supplies.
C
At least one of the shipments sent to Truax Construction was not sent out on Thursday of last week.
D
At least one of the shipments that were sent out on Friday of last week was sent to Truax Construction.
E
At least one of the shipments sent to Truax Construction last week was sent out before Friday.
Solution

Passage Visualization

Passage StatementVisualization and Linkage
The five specially ordered shipments sent out last week were sent out on Thursday.Establishes: Thursday shipments = 5 specially ordered items

Key Pattern: All special orders concentrated on one day

Example: Thursday = 5 special shipments, other days = regular shipments only
Last week, all of the shipments that were sent out on Friday consisted entirely of building supplies, and the shipping department then closed for the weekend.Establishes: Friday = 100% building supplies only
Weekend = No shipments

Key Constraint: Friday shipments are exclusively building supplies

Example: If 3 shipments went Friday, all 3 = building supplies
Four shipments were sent to Truax Construction last week, only three of which consisted of building supplies.Establishes: Truax total = 4 shipments
Truax building supplies = 3 shipments
Truax non-building supplies = 1 shipment

Critical Gap: 1 Truax shipment ≠ building supplies

Logic Chain: Since Friday = only building supplies, the 1 non-building Truax shipment cannot be Friday
Overall ImplicationCore Constraint Conflict: Truax received 1 non-building supply shipment, but Friday only sent building supplies

Therefore: At least 1 Truax shipment must have been sent on a day other than Friday

Pattern: Friday restrictions force non-building shipments to other days

Valid Inferences

Inference: At least one shipment to Truax Construction was sent on a day other than Friday.

Supporting Logic: Since Truax Construction received four shipments with only three consisting of building supplies, one Truax shipment was not building supplies. Since all Friday shipments consisted entirely of building supplies, the non-building supply shipment to Truax could not have been sent on Friday. Therefore, at least one Truax shipment was sent on Thursday, Monday, Tuesday, or Wednesday.

Clarification Note: While we know one Truax shipment wasn't sent Friday, we cannot determine the specific day it was sent or whether it was one of the specially ordered Thursday shipments.

Answer Choices Explained
A
At least one of the shipments sent to Truax Construction last week was specially ordered.
This cannot be determined from the given information. We know five specially ordered shipments went out Thursday and four shipments went to Truax, but we cannot determine if any of the Truax shipments were among the specially ordered ones. There's no logical connection forcing this to be true.
B
At least one of last week's specially ordered shipments did not consist of building supplies.
While we can determine that at least one specially ordered shipment might not have consisted of building supplies, this isn't necessarily true. All five specially ordered shipments sent on Thursday could have been building supplies - there's nothing in the argument that prevents this.
C
At least one of the shipments sent to Truax Construction was not sent out on Thursday of last week.
This is not necessarily true. Even though at least one Truax shipment wasn't sent Friday, all four Truax shipments could potentially have been sent on Thursday. The argument doesn't prevent this scenario.
D
At least one of the shipments that were sent out on Friday of last week was sent to Truax Construction.
This is not necessarily true. Since all Friday shipments were building supplies, and three of Truax's four shipments were building supplies, it's possible that some or all of Truax's building supply shipments were sent Friday, but it's not required. We cannot force this connection.
E
At least one of the shipments sent to Truax Construction last week was sent out before Friday.
This must be true. Since Truax received four shipments with only three consisting of building supplies, one Truax shipment was not building supplies. Since all Friday shipments consisted entirely of building supplies, the non-building supply shipment to Truax could not have been sent Friday. Therefore, at least one Truax shipment was sent before Friday (Monday through Thursday). This is a logical necessity based on the constraints given.
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