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2.In the following figure:A B C D E F G H I Each of the digits 1, 2, 3, 4, 5, 6, 7, 8, and 9 is: a)Represented by a different letter in the figure above. b)Positioned in the figure above so that each of A + B + C,C + D +E,E + F + G, and G + H + I is equal to 13. Which digit does E represent?

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. 1)If Eugene finishes two places ahead of Chris in the first race, all of the following will be true EXCEPT: 2)If Don finishes third in the third race, which of the following must be true of that race? 3)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? 4)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: 5)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? 6)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?

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.

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.

A new bank has decided to stay open only on weekends - all day Saturday and Sunday - and no other days. The bank has hired two managers (U and V), Four tellers (W,X,Y, and Z), and two operation officers (S and T), for a total of exactly eight full-time employees. No part-time employees are hired. Each employee works a complete day when working. A manager must be on duty each day. The managers cannot work on the same day. At least two tellers must be working on the same day. W and X will not work on the same day. S and Z will only work on Saturday. No employee can work on consecutive days, but each employee must work on Saturday or Sunday. Which of the following could be false? a) If U works on Saturday, then V works on Sunday. b) If X works on Saturday, then W works on Sunday. c) T can work either day. d) If W works on Saturday and Y works on Sunday, then X works on Sunday. e) If U works on Sunday, then X works on Saturday. 15) A new bank has decided to stay open only on weekends - all day Saturday and Sunday - and no other days. The bank has hired two managers (U and V), Four tellers (W,X,Y, and Z), and two operation officers (S and T), for a total of exactly eight full-time employees. No part-time employees are hired. Each employee works a complete day when working. A manager must be on duty each day. The managers cannot work on the same day. At least two tellers must be working on the same day. W and X will not work on the same day. S and Z will only work on Saturday. No employee can work on consecutive days, but each employee must work on Saturday or Sunday. Which one of the following is an acceptable group of employees that could work on Saturday? a) ZWYST b) UVWYZS c) VWXST d) UZST e) VWZS 16) A new bank has decided to stay open only on weekends - all day Saturday and Sunday - and no other days. The bank has hired two managers (U and V), Four tellers (W,X,Y, and Z), and two operation officers (S and T), for a total of exactly eight full-time employees. No part-time employees are hired. Each employee works a complete day when working. A manager must be on duty each day. The managers cannot work on the same day. At least two tellers must be working on the same day. W and X will not work on the same day. S and Z will only work on Saturday. No employee can work on consecutive days, but each employee must work on Saturday or Sunday. What is the greatest number of employees that can work on Saturday? a) 2 b) 3 c) 4 d) 5 e) 6 17) A new bank has decided to stay open only on weekends - all day Saturday and Sunday - and no other days. The bank has hired two managers (U and V), Four tellers (W,X,Y, and Z), and two operation officers (S and T), for a total of exactly eight full-time employees. No part-time employees are hired. Each employee works a complete day when working. A manager must be on duty each day. The managers cannot work on the same day. At least two tellers must be working on the same day. W and X will not work on the same day. S and Z will only work on Saturday. No employee can work on consecutive days, but each employee must work on Saturday or Sunday. If W works on Sunday, then which one of the following must be true? a) X works on Saturday b) Y works on Saturday c) T works on Saturday d) Z works on Saturday e) U works on Saturday 18) A new bank has decided to stay open only on weekends - all day Saturday and Sunday - and no other days. The bank has hired two managers (U and V), Four tellers (W,X,Y, and Z), and two operation officers (S and T), for a total of exactly eight full-time employees. No part-time employees are hired. Each employee works a complete day when working. A manager must be on duty each day. The managers cannot work on the same day. At least two tellers must be working on the same day. W and X will not work on the same day. S and Z will only work on Saturday. No employee can work on consecutive days, but each employee must work on Saturday or Sunday. Which one of the following must be true? a) T always works on the same day as Y. b) S never works on the same day as U. c) Z never works on the same day as X. d) If W works on Sunday, then Y always works on Saturday. e) Only two tellers work on Saturday. 19) A new bank has decided to stay open only on weekends - all day Saturday and Sunday - and no other days. The bank has hired two managers (U and V), Four tellers (W,X,Y, and Z), and two operation officers (S and T), for a total of exactly eight full-time employees. No part-time employees are hired. Each employee works a complete day when working. A manager must be on duty each day. The managers cannot work on the same day. At least two tellers must be working on the same day. W and X will not work on the same day. S and Z will only work on Saturday. No employee can work on consecutive days, but each employee must work on Saturday or Sunday. Which one of the following is a complete and accurate list of the employees who have the possibility of working on Sunday? a) UWYZ b) UWYS c) UVWXT d) UVWXYT e) UVWXYTS 20) In the earliest stages of common law, a party could have their case heard by a judge only upon the payment of a fee to the court, and then only if the case fit into one of the forms for which there existed a writ. At first the number of such formalized cases of action was very small, but judges invented new forms which brought more cases and greater revenues. Which of the following conclusions is most strongly suggested by the paragraph above? a) In most early cases, the plaintiff rather than the defendant prevailed. b) One of the motivating forces for the early expansion in judicial power was economic considerations. c) The first common law decisions were inconsistent with one another and did not form a coherent body of law. d) Early judges often decided cases in an arbitrary and haphazard manner. e) The judiciary at first had greater power than either the legislature or the executive.

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