For this week’s Friday Challenge, as promised, your game (answers will follow on Monday as usual):
Aloysius is arranging his filing cabinet. He keeps files on the following nine subjects: Feng Shui, gardening, herpetology. Jack the Ripper, Charles Manson, Lee Harvey Oswald, Ludwig Wittgenstein, Xerxes, and Zeno. Each of the nine files is hung in a separate folder numbered 1 through 9 from the front of the cabinet to the back, and each folder is exactly one of three colors: puce, vermilion, or teal. Aloysius will arrange his files according to the following constraints:
The file on Charles Manson will be closer to the front than that on Xerxes, but closer to the back than the file on Jack the Ripper.
The file on Xerxes will be closer to the back of the cabinet than both the file on Feng Shui and that on Ludwig Wittgenstein.
The file on gardening will be closer to the back of the cabinet than both the file on herpetology and that on Lee Harvey Oswald.
The file on Xerxes will be hung closer to the front than the file on Lee Harvey Oswald.
The file on Zeno will be hung closer to the back than the file on Feng Shui.
The third folder is puce.
The first folder is not puce.
No two consecutive folders are of the same color.
- Which of the following is a complete and accurate list of Aloysius’ files, in order from the front of the cabinet to the back?
(A) Charles Manson, Feng Shui, Ludwig Wittgenstein, Zeno, Jack the Ripper, Xerxes, herpetology, Lee Harvey Oswald, gardening.
(B) Ludwig Wittgenstein, Jack the Ripper, Charles Manson, Feng Shui, Xerxes, herpetology, Lee Harvey Oswald, gardening, Zeno.
(C) Jack the Ripper, Charles Manson, Feng Shui, Ludwig Wittgenstein, Zeno, Lee Harvey Oswald, Xerxes, herpetology, gardening.
(D) Ludwig Wittgenstein, Jack the Ripper, Charles Manson, Zeno, Feng Shui, Xerxes, herpetology, Lee Harvey Oswald, gardening.
(E) Feng Shui, Jack the Ripper, Ludwig Wittgenstein, Charles Manson, Zeno, Xerxes, Lee Harvey Oswald, gardening, herpetology.
2. Which one of the following must be true?
(A) The file on Feng Shui is hung closer to the front of the cabinet than the file on Ludwig Wittgenstein.
(B) The file on Xerxes is in a puce folder.
(C) The file on Ludwig Wittgenstein is hung closer to the front of the cabinet than the file on gardening.
(D) The fourth folder is vermilion.
(E) The first folder contains the file on Ludwig Wittgenstein.
3. If the first folder is vermilion, which of the following could be true?
(A) The second folder is teal.
(B) The second folder is puce.
(C) The second folder is vermilion.
(D) The fourth folder is puce.
(E) The fifth and sixth folders are both teal.
4. Which of the following files CANNOT be in the fifth folder?
(A) Charles Manson
(B) Herpetology
(C) Xerxes
(D) Lee Harvey Oswald
(E) Feng Shui
5. If the file on gardening is in the eighth folder, which of the following must be true?
(A) The file on Feng Shui is hung closer to the front than the file on Charles Manson.
(B) The file on Xerxes is not in the third folder.
(C) The file on Lee Harvey Oswald is hung closer to the front than the file on Zeno.
(D) The file on Jack the Ripper is in a puce folder.
(E) The eighth folder is vermilion.
6. Which of the following could be true of the order in which the files are hung in the cabinet?
(A) The file on Jack the Ripper is in the sixth folder.
(B) The file on gardening is in the sixth folder.
(C) The file on Feng Shui is in the sixth folder.
(D) The file on herpetology is in the first folder.
(E) The file on Xerxes is in the first folder.