Here's what we know from the statements:
- Five specially ordered shipments were sent out last week. All five of those shipments were sent out on Thursday of last week. Thus, we know that no special shipments were sent out any other day besides Thursday of last week.
- "All of the shipments that were sent out on Friday consisted entirely of building supplies." Notice that this does not necessarily mean that building supplies were not sent out on any other day besides Friday. It simply means that there were no other shipments sent out on Friday besides building supply shipments.
- The shipping department was closed on the weekend.
- "Four shipments were sent to Truax Construction last week." Three of those four shipments consisted of building supplies.
If all of these statements are true which of the following must be true?
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A. At least one of the shipments sent to Truax Construction last week was specially ordered.
We know that three of the four shipments sent to Truax Construction consisted of building supplies. Those three shipments could have been sent on Friday, but they also could have been shipped on any other weekday, including Thursday. The fourth shipment also could have been shipped on Thursday (or on any other weekday except for Friday). It is possible that Truax received a special order on Thursday, but we cannot know for sure. Eliminate (A).
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B. At least one of last week’s specially ordered shipments did not consist of building supplies.
We know that one of the shipments sent to Truax did not consist of building supplies, but we do not know whether that shipment was sent on Thursday and, thus, whether it was a special order. Eliminate (B).
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C. At least one of the shipments sent to Truax Construction was not sent out on Thursday of last week.
We know that all the shipments sent out on Friday consisted of building supplies. However, we do not know whether building supply shipments were sent out on any other weekday besides Friday. Thus, it is possible that
all of Truax's shipments were sent out on Thursday, so choice (C) does not have to be true.
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D. At least one of the shipments that were sent out on Friday of last week was sent to Truax Construction.
As described for choice (C), it is possible that all of Truax's shipments were sent out on Thursday. Thus, choice (D) does not have to be true.
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E. At least one of the shipments sent to Truax Construction last week was sent out before Friday.
We know that one of the shipments sent to Truax did not consist of building supplies. Since "all of the shipments that were sent out on Friday consisted entirely of building supplies," we know that one of the shipments sent to Truax was not shipped on Friday. Thus, choice (E) must be true.
Choice (E) is the best answer.
12 Dec 2022, 07:05
50% (02:09) correct
