Comcorp Shipping Clerk: Last week, no shipments of building supplies were sent out on Friday. The five specially ordered shipments sent out last week were sent out on Thursday, and each of those specially ordered shipments consisted entirely of building supplies. Four shipments were sent to Truax Construction last week, none of which consisted of building supplies. If the shipping clerk's statements are true, which of the following must also be true?

(A) All of Comcorp's shipments of building supplies last week were specially ordered. (B) None of Comcorp's shipments sent on friday of last week was sent to Truax Construction. (C) None of the shipments sent by Comcorp to Truax Construction last week was specially ordered. (D) None of Comcorp's shipments sent on Thursday of last week was sent to Truax Construction. (E) All of Comcorp's shipments of building supplies last week were sent out on Thursday.

Question

Mathematics

Salvatore Becker

18 May, 18:28

Comcorp Shipping Clerk: Last week, no shipments of building supplies were sent out on Friday. The five specially ordered shipments sent out last week were sent out on Thursday, and each of those specially ordered shipments consisted entirely of building supplies. Four shipments were sent to Truax Construction last week, none of which consisted of building supplies. If the shipping clerk's statements are true, which of the following must also be true?

(A) All of Comcorp's shipments of building supplies last week were specially ordered. (B) None of Comcorp's shipments sent on friday of last week was sent to Truax Construction. (C) None of the shipments sent by Comcorp to Truax Construction last week was specially ordered. (D) None of Comcorp's shipments sent on Thursday of last week was sent to Truax Construction. (E) All of Comcorp's shipments of building supplies last week were sent out on Thursday.

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Answers (1)

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Yair Richmond · Answer 1

(C) None of the shipments sent by Comcorp to Truax Construction last week was specially ordered.

Step-by-step explanation:

A. All of Comcorp's shipments of building supplies last week were specially ordered.

All of the specially ordered shipments have building supplies, but some others can contain building supplies as well. So, this cannot be true.

B. None of Comcorp's shipments sent on Friday of last week was sent to Truax Construction.

None of the specially ordered shipments were sent out on Friday, but some shipments sent to Truax were all non specially ordered, which could have been sent on any day. This is also not the case.

C. None of. the shipments sent by Comcorp by Truax Construction last week was specially ordered.

We can deduce that, if all of the specially ordered shipments had building supplies, and none of the shipments to Truax had building supplies, then none of the shipments sent to Truax was specially ordered.

So, this is true.

D. None of Comcorp's shipments sent on Thursday of last week was sent to Truax Construction.

We cannot deduce from given info, on what day the shipments to Truax were sent. But the specially ordered shipments were sent on Thursday. Hence, we cannot determine, when the non specially ordered shipments were sent. This is false.

E. All of Comcorp's shipments of building supplies last week were sent out on Thursday.

We can refer to option A, as both are similar kind. Hence, this is also false.