The Massachusetts Tour Guide offers convenient directions for tourists who visit the many local attractions. According to the guide:

Falmouth Beach is 5 miles along a straight line from point Historic Downtown Boston

Salem is 20 miles along a straight line from point Cape Cod

Historic Downtown Boston is 10 miles along a straight line from point Cape Cod


1. If Historic Downtown Boston is due south of Cape Cod and Falmouth Beach is due north of Historic Downtown Boston, all of the following must be true EXCEPT:

(A) Falmouth Beach is farther from Salem than Cape Cod is from Salem
(B) Salem is farther from Cape Cod than Historic Downtown Boston is from Cape Cod
(C) Salem is farther from Historic Downtown Boston than Salem is from Cape Cod
(D) Cape Cod is farther from Falmouth Beach than Historic Downtown Boston is from Falmouth Beach
(E) Historic Downtown Boston is farther from Cape Cod than Falmouth Beach is from Cape Cod


2. If Cape Cod is 5 miles from Falmouth Beach, which of the following must be true?

(A) Falmouth Beach is closer to Salem than to Cape Cod
(B) Falmouth Beach is closer to Historic Downtown Boston than to Cape Cod
(C) Falmouth Beach is closer to Historic Downtown Boston than to Salem
(D) Falmouth Beach is closer to Salem than to Historic Downtown Boston
(E) Falmouth Beach is closer to Cape Cod than to Salem


3. Which of the following CANNOT be true?

(A) Salem is closer to Historic Downtown Boston than to Cape Cod
(B) Falmouth Beach is clsoer to Salem than to Cape Cod
(C) Cape Cod is closer to Salem than to Falmouth Beach
(D) Cape Cod is closer to Falmouth Beach than to Historic Downtown Boston
(E) Historic Downtown Boston is clsoer to Cape Cod than to Salem


4. If Historic Downtown Boston is due west of Cape Cod and Cape Cod is due east of Salem, all of the following must be true EXCEPT:

(A) Historic Downtown Boston is due east of Salem
(B) Historic Downtown Boston is 10 miles from Salem
(C) Falmouth Beach is at most 15 miles from Cape Cod
(D) Falmouth Beach is at most 15 miles from Salem
(E) Falmouth Beach is due east of Salem


5. If Cape Cod is due west of Salem and Falmouth Beach is 5 miles from P, which of the following must be true?

(A) Cape Cod is farther from Historic Downtown Boston than from Falmouth Beach
(B) Falmouth Beach is farther from Salem than from Cape Cod
(C) Falmouth Beach is farther from Cape Cod than from Historic Downtown Boston
(D) Falmouth Beach is farther from Salem than from Historic Downtown Boston
(E) Historic Downtown Boston is farther from Falmouth Beach than from Salem


6. Which of the following must be true?

(A) If Historic Downtown Boston is 10 miles from Salem, then Falmouth Beach is 5 miles from Salem
(B) If Falmouth Beach is 5 miles from Salem, then Historic Downtown Boston is 10 miles from Salem
(C) If Historic Downtown Boston is 15 miles from Salem, then Falmouth Beach is 20 miles from Salem
(D) If Cape Cod is 15 miles from Falmouth Beach, then Falmouth Beach is 35 miles from Salem
(E) If Falmouth Beach is 5 miles from Cape Cod, then Falmouth Beach is 25 miles from Salem

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