Context: An economics department is assigning six teaching assistants—Ramos, Smith, Taj, Vogel, Yi, and Zane—to three courses—Labor, Markets, and Pricing. Each assistant will be assigned to exactly one course, and each course will have at least one assistant assigned to it. The assignment of assistants to courses is subject to the following conditions: Markets must have exactly two assistants assigned to it. Smith and Taj must be assigned to the same course as each other. Vogel and Yi cannot be assigned to the same course as each other. Yi and Zane must both be assigned to Pricing if either one of them is.

Question: Which one of the following could be the complete assignment of assistants to Pricing?

Answer: Ramos, Yi, and Zane

Answer: Smith, Taj, and Yi

Answer: Smith, Taj, Yi, and Zane

Answer: Taj, Yi, and Zane

Answer: Vogel, Yi, and Zane


Question: Which one of the following CANNOT be the complete assignment of assistants to Labor?

Answer: Ramos, Vogel

Answer: Ramos, Zane

Answer: Smith, Taj

Answer: Vogel, Zane

Answer: Yi, Zane


Question: Which one of the following could be true?

Answer: Ramos and Vogel are both assigned to Markets.

Answer: Ramos and Taj are both assigned to Markets.

Answer: Smith and Vogel are both assigned to Markets.

Answer: Smith and Zane are both assigned to Pricing.

Answer: Vogel and Zane are both assigned to Pricing.


Question: If Vogel is assigned to the same course as Zane, which one of the following CANNOT be true?

Answer: Ramos is assigned to Labor.

Answer: Smith is assigned to Labor.

Answer: Taj is assigned to Markets.

Answer: Ramos is assigned to Pricing.

Answer: Smith is assigned to Pricing.


Question: If no other assistant is assigned to the same course as Ramos, which one of the following must be true?

Answer: Taj is assigned to Labor.

Answer: Vogel is assigned to Labor.

Answer: Yi is assigned to Markets.

Answer: Zane is assigned to Markets.

Answer: Smith is assigned to Pricing


Context: There are exactly six computers—P, Q, R, S, T, and U—on a small network. Exactly one of those computers was infected by a virus from outside the network, and that virus was then transmitted between computers on the network. Each computer received the virus exactly once. The following pieces of information concerning the spread of the virus have been established: No computer transmitted the virus to more than two other computers on the network. S transmitted the virus to exactly one other computer on the network. The computer that transmitted the virus to R also transmitted it to S. Either R or T transmitted the virus to Q. Either T or U transmitted the virus to P.

Question: One possible route of the virus from the first computer in the network infected to Q is

Answer: from R to P to T to Q

Answer: from T to S to R to Q

Answer: from T to S to U to Q

Answer: from U to P to R to Q

Answer: from U to T to P to R to Q


Question: Which one of the following could be the computer that was infected from outside the network?

Answer: P

Answer: Q

Answer: R

Answer: S

Answer: T


Question: If T did not transmit the virus to any other computer on the network, which one of the following must be true?

Answer: P transmitted the virus to S.

Answer: Q transmitted the virus to R.

Answer: U transmitted the virus to S.

Answer: P did not transmit the virus to any other computer on the network.

Answer: R did not transmit the virus to any other computer on the network.


Question: Any of the following computers could have transmitted the virus to two other computers on the network EXCEPT:

Answer: P

Answer: Q

Answer: R

Answer: T

Answer: U


Question: The spread of the virus among the computers is completely determined if which one of the following is true?

Answer: R transmitted the virus to Q.

Answer: T transmitted the virus to Q.

Answer: T transmitted the virus to S.

Answer: U transmitted the virus to P.

Answer: U transmitted the virus to R


Question: If P is the only computer that transmitted the virus to two other computers on the network, which one of the following must be true?

Answer: S transmitted the virus to T.

Answer: T transmitted the virus to P.

Answer: Q did not transmit the virus to any other computer on the network.

Answer: R did not transmit the virus to any other computer on the network.

Answer: U did not transmit the virus to any other computer on the network.