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Two men, Barry and David, and two women Ann and Cathy are doctors. One is a surgeon, one a dentist, one an optometrist, and one is a general practitioner. They are seated around a square table, with one person on each side. 1) Barry is across from the dentist. 2) David is not across from the surgeon. 3) The optometrist is on Ann's immediate left. 4) Cathy is the general practitioner. 5) The surgeon and general practitioner are married to each other. 6) The general practitioner is not on Cathy's immediate left. 7) The general practitioner is across from the optometrist. Which of the following must be true? a) Barry is the dentist. b) The surgeon and general practitioner are women. c) The dentist is across from the surgeon. d) David is the surgeon. e) Cathy is across from Ann. 13) Two men, Barry and David, and two women Ann and Cathy are doctors. One is a surgeon, one a dentist, one an optometrist, and one is a general practitioner. They are seated around a square table, with one person on each side. 1) Barry is across from the dentist. 2) David is not across from the surgeon. 3) The optometrist is on Ann's immediate left. 4) Cathy is the general practitioner. 5) The surgeon and general practitioner are married to each other. 6) The general practitioner is not on Cathy's immediate left. 7) The general practitioner is across from the optometrist. If both women leave the table, the a) optometrist and dentist remain. b) surgeon and optometrist remain. c) surgeon and general practitioner remain. d) general practitioner and dentist remain. e) general practitioner and optometrist remain.
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1) Five racing drivers, Alan, Bob, Chris, Don, and Eugene, enter into a contest that consists of 6 races. The results of all six races are listed below: Bob always finishes ahead of Chris. Alan finishes either first or last. Eugene finishes either first or last. There are no ties in any race. Every driver finishes each race. In each race, two points are awarded for a fifth place finish, four points for fourth, six points for third, eight points for second, and ten points for first. If Eugene finishes two places ahead of Chris in the first race, all of the following will be true EXCEPT: a) Bob finishes ahead of Don. b) Chris finishes two places ahead of Alan. c) Don finishes fourth. d) Bob finishes immediately behind Eugene. e) Chris finishes ahead of Bob. 2) Five racing drivers, Alan, Bob, Chris, Don, and Eugene, enter into a contest that consists of 6 races. The results of all six races are listed below: Bob always finishes ahead of Chris. Alan finishes either first or last. Eugene finishes either first or last. There are no ties in any race. Every driver finishes each race. In each race, two points are awarded for a fifth place finish, four points for fourth, six points for third, eight points for second, and ten points for first. If Don finishes third in the third race, which of the following must be true of that race? a) Alan finishes first. b) Eugene finishes first. c) Bob finishes second. d) Chris finishes second. e) Alan finishes fifth. 3) Five racing drivers, Alan, Bob, Chris, Don, and Eugene, enter into a contest that consists of 6 races. The results of all six races are listed below: Bob always finishes ahead of Chris. Alan finishes either first or last. Eugene finishes either first or last. There are no ties in any race. Every driver finishes each race. In each race, two points are awarded for a fifth place finish, four points for fourth, six points for third, eight points for second, and ten points for first. If Eugene's total for the six races is 36 points, which of the following must be true? a) Bob's total is more than 36 points. b) Chris's total is more than 36 points. c) Alan's total is 36 points. d) Don's total is less than 36 points. e) Don's total is 36 points. 4) Five racing drivers, Alan, Bob, Chris, Don, and Eugene, enter into a contest that consists of 6 races. The results of all six races are listed below: Bob always finishes ahead of Chris. Alan finishes either first or last. Eugene finishes either first or last. There are no ties in any race. Every driver finishes each race. In each race, two points are awarded for a fifth place finish, four points for fourth, six points for third, eight points for second, and ten points for first. If Alan finishes first only once, and Don finishes second exactly twice, the lowest total number of points that Bob can earn in the race is: a) 32 points. b) 38 points. c) 40 points. d) 44 points. e) 48 points. 5) Five racing drivers, Alan, Bob, Chris, Don, and Eugene, enter into a contest that consists of 6 races. The results of all six races are listed below: Bob always finishes ahead of Chris. Alan finishes either first or last. Eugene finishes either first or last. There are no ties in any race. Every driver finishes each race. In each race, two points are awarded for a fifth place finish, four points for fourth, six points for third, eight points for second, and ten points for first. If Alan finishes first in four races, which of the following could earn a total of fewer than 26 points in the six races? a) Bob only. b) Chris only. c) Don only. d) Eugene of Chris. e) Don or Chris. 6) Five racing drivers, Alan, Bob, Chris, Don, and Eugene, enter into a contest that consists of 6 races. The results of all six races are listed below: Bob always finishes ahead of Chris. Alan finishes either first or last. Eugene finishes either first or last. There are no ties in any race. Every driver finishes each race. In each race, two points are awarded for a fifth place finish, four points for fourth, six points for third, eight points for second, and ten points for first. If Frank enters the third race and finishes behind Chris and Don, which of the following must be true of that race? a) Eugene finishes first. b) Alan finishes sixth. c) Don finishes second. d) Frank finishes fifth. e) Chris finishes third.
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