A rock band tours five cities –Albany, Boston, Chicago, Detroit, and Evanston. The tour schedule follows these rules: The tour stops at Boston before either Detroit or Evanston. The tour stops at one city after Albany before stopping at Detroit The tour does not stop in Chicago second.
If the band decide to play Detroit last, then
A. Albany must be third
B. Boston must be second.
C. Chicago must be first.
D. Chicago must be fourth.
E. Evanston must be fourth.
The band must tour Albany two cities before they tour Detroit. Thus, If they tour Detroit last, or Fifth, then they must tour Albany third. The correct answer is (A).
Suppose three consecutive stop on the tour are Boston, Detroit, and Evanston, respectively. What can Albany be visited?
A. Either first or second.
B. Either fifth or fourth
C. Either second or third.
D. Either third or fifth.
E. Either fourth or fifth
Which of the following must be true if the band visits Albany immediately before Chicago?
A. The third city on the tour is Albany.
B. The first city on the tour is Boston.
C. The fourth city on the tour is Chicago
D. The fifth city on the tour is Detroit
E. The second city on the tour is Evanston
Since we know that the band toured Albany immediately before they toured Chicago, we know that they toured Albany, Chicago and Detroit one after each other in that order. Since the band must tour Boston before they tour Detroit, they must also tour Boston before they tour Albany and Chicago. Since the band must tour Boston before they tour Evanston, Boston must be toured first. The correct answer is (B).
Every one of the cities can be scheduled for which particular spot on the tour?
A. First
B. Second
C. Third
D. Fourth
E. Fifth
We arrived at this answer by eliminating all the other choices. The band can tour Boston third since there is time for the band to tour Detroit and Evanston afterward. Albany can be toured third if Evanston is toured fifth. Detroit and Evanston can both be toured third as long as Boston is toured before. Finally, Chicago can also be toured third.
The correct answer is (C).
Suppose the first stop on the tour is Albany. Which of the following must be true?
A. The band visits Chicago before it visit Detroit.
B. The band visits Chicago fourth
C. The band visits Boston second.
D. The band visits Evanston fourth.
E. The band visits Chicago before it visits Boston.
If the band tours Albany first, then they must tour Detroit third. Since they must tour Boston before they tour Detroit, Boston must be toured second. The correct answer is (C).
