Take the Logic Games Challenge! Manhattan LSAT posted Logic Games Challenge #30 and they invite our listeners to join in the chance to Win $200 off any LSAT Course or any Manhattan LSAT Strategy Guide (your choice!). The latest challenge: Computer Processes.
A computer engineering student must build four motherboards—labeled R, S, T, and U—using a total of eight processors. Each processor has a unique amount of processing power–from 1 to 8 gigahertz–and an identification number that matches this processing power. Each motherboard must use exactly two processors, and the total processing power of a board is equal to the sum of the capacities of those two processors.
The assignment of processors to boards must follow the following guidelines:
- Each board must have the same total processing capacity as every other board.
- T cannot be assigned processor 6.
- U must be assigned one processor that has more processing power than either of the processors assigned to T.
1. Which of the following is an acceptable assignment of the four smallest processors, from smallest to largest?
(A) U, T, S, T
(B) U, R, S, T
(C) T, U, S, R
(D) R, T, U, S
(E) U, S, T, R
2. What is the smallest processor that can be assigned to T?
(A) 1
(B) 2
(C) 3
(D) 4
(E) 5
3. Which of the following is a complete and accurate list of boards that could be constructed with a pair of processors that differ in power by one gigahertz?
(A) R, T
(B) S, R
(C) R, T, U
(D) R, S, T
(E) R, S, T, U
4. If both S and T have processors that are consecutively-sized with at least one of the processors of the other board, how many different assignments of all eight processors are possible?
(A) 1
(B) 2
(C) 3
(D) 4
(E) 5
5. If R is assigned processor 6, which of the following must be true?
(A) S must have a larger processor than either processor assigned to R.
(B) S must have a smaller processor than either processor assigned to T.
(C) U must have a larger processor than either processor assigned to S.
(D) U must have a smaller processor than either processor assigned to R.
(E) T must have a larger processor than either processor assigned to R.
6. Each of the following could be the boards to which processors 6 and 7 are assigned, though not necessarily in the order listed, EXCEPT:
(A) T, R
(B) S, U
(C) R, S
(D) U, T
(E) S, T
7. Which of the following, if substituted for the rule that T cannot be assigned processor 6 would have the same effect on the assignment of processors to boards?
(A) R must have a smaller processor than any processor assigned to either T or U, or T and U must each have a larger processor than any processor assigned to R.
(B) T must have a smaller processor than any processor assigned to either R or S, or R and S must each have a larger processor than any processor assigned to T.
(C) Each processor assigned to S must be consecutive with a processor assigned to R.
(D) Each processor assigned to T must be consecutive with a processor assigned to U.
(E) U cannot be assigned processor 5.
Think you can solve this Logic Game Challenge? You can win $200 off any LSAT Course or a Free Manhattan LSAT Strategy Guide (your choice!)
Post your answers on Manhattan LSAT’s site and your explanation on their LSAT Forum. You have 2 ways to win: (1) Correct Answer Prize: Manhattan LSAT will randomly choose from any submitted correct answers during the Challenge period and (2) Best Explanation Prize: Manhattan LSAT will choose the best explanation posted on our forums.
Good luck!
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