During the pub crawl for your orientation week, you have seven pubs at your disposal to visit with your friends: El Furniture Warehouse, Fox & Fiddle, Green Room, Crown & Tiger, O’Grady’s, Prenup Pub, and Sneaky Dee’s. Each pub must be visited exactly once, according to the following conditions:
- You must visit both O’Grady’s and Prenup Pub in conjunction, though not necessarily in that order.
- You must visit exactly two pubs between your visit to Fox & Fiddle and your visit to Crown & Tiger.
- Neither Sneaky Dee’s nor Crown & Tiger can be your first stop.
- El Furniture Warehouse must be your last stop.
1. Which of the following is an acceptable route you can take to complete the pub crawl?
a) Green Room, Prenup Pub, O’Grady’s, Fox & Fiddle, Sneaky Dee’s, El Furniture Warehouse, Crown & Tiger
b) Green Room, Crown & Tiger, O’Grady’s, Prenup Pub, Sneaky Dee’s, Fox & Fiddle, El Furniture Warehouse
c) Sneaky Dee’s, Crown & Tiger, Prenup Pub, O’Grady’s, Fox & Fiddle, Green Room, El Furniture Warehouse
d) Prenup Pub, O’Grady’s, Fox & Fiddle, Green Room, Sneaky Dee’s, Crown & Tiger, El Furniture Warehouse
e) Green Room, Crown & Tiger, Sneaky Dee’s, O’Grady’s, Fox & Fiddle, Prenup Pub, El Furniture Warehouse
2. Which of the following CANNOT be true?
a) You visit Fox & Fiddle first
b) You visit Fox & Fiddle fourth
c) You visit Sneaky Dee’s sixth
d) You visit O’Grady’s first
e) You visit O’Grady’s second
3. If you visit Fox & Fiddle second, which of the following can be true?
a) You visit Crown & Tiger first
b) You visit Crown & Tiger third
c) You visit O’Grady’s sixth
d) You visit Sneaky Dee’s third
e) You visit Sneaky Dee’s sixth
4. The order in which you visit the pubs can be completely determined if which of the following is true?
a) You visit Crown & Tiger second, and you visit Prenup Pub fourth
b) You visit O’Grady’s first, and you visit Green Room fourth
c) You visit Fox & Fiddle first, and you visit O’Grady’s fifth
d) You visit Sneaky Dee’s fifth, and you visit Green Room first
e) You visit Crown & Tiger second, and you visit Green Room first
5. Suppose the condition that requires you to visit exactly two pubs between Fox & Fiddle and Crown & Tiger is lifted. What is the maximum amount of pubs that you can now visit between these two locations?
a) One
b) Two
c) Three
d) Four
e) Five
