Question 13-18
On an undeveloped street, a developer will simultaneously build four houses on one side, numbered consecutively 1, 3, 5, and 7, and four houses on the opposite side, numbered consecutively 2, 4, 6, and 8. Houses 2, 4, 6, and 8 will face houses 1, 3, 5, and 7, respectively. Each house will be exactly one of three styles-ranch, split-level or Tudor-according to the following conditions:
Adjacent houses are of different styles.
No split-level house faces another split-level house.
Every ranch house has at least one Tudor house adjacent to it
House 3 is a ranch house.
House 6 is a split-level house.
13. Any of the following could be a Tudor house EXCEPT house
(A) 1
(B) 2
(C) 4
(D) 7
(E) 8
14. If there is one ranch house directly opposite another ranch house, which one of the following could be true?
(A) House 8 is a ranch house
(B) House 7 is a split-level house.
(C) House 4 is a Tudor house.
(D) House 2 is a split-level house.
(E) House 1 is a ranch house.
15. If house 4 is a Tudor house, then it could be true that house
(A) 1 is a Tudor house
(B) 2 is a Tudor house
(C) 5 is a Tudor house
(D) 7 is a Tudor house
(E) 8 is a Tudor house
16. On the street, there could be exactly.
(A) one ranch house
(B) one Tudor house
(C) two Tudor houses
(D) four ranch houses
(E) five ranch houses
17. If no house faces a house of the same style, then it must be true that
house
(A) 1 is a split-level house
(B) 1 is a Tudor house
(C) 2 is a ranch house
(D) 2 is a split-level house
(E) 4 is a Tudor house
18. If the condition requiring house 6 to be a split-level house is suspended but all other original conditions remain the same, the any of the following could be an accurate list of the styles of houses 2, 4, 6, and 8, respectively, EXCEPT:
(A) ranch, split-level, ranch, Tudor
(B) split-level, ranch, Tudor, split-level
(C) split-level, Tudor, ranch, split-level
(D) Tudor, ranch. Tudor, split-level
(E) Tudor split-level, ranch, Tudor
Questions 19-24
Within a tennis league each of five teams occupies one of five positions, numbered 1 through 5 in order of rank, with number 1 as the highest position. The teams are initially in the order R, J, S, M, L, with R in position 1. Teams change positions only when a lower-positioned team defeats a higher-positioned team. The rules are as follows:
Matches are played alternately in odd-position rounds and in even-position rounds.
In an odd-position round, teams in position 3 and 5 play against teams positioned immediately above them.
In an even-position round, teams in position 2 and 4 play against teams positioned immediately above them.
When a lower-positioned team defeats a higher-positioned team, the two teams switch positions after the round is completed.
19. Which one of the of following could be the order of teams, from position 1 through position 5 respectively, after exactly one round of even-position matches if no odd-position round has yet been played?
(A) J , R, M, L, S
(B) J, R, S, L, M
(C) R, J, M, L, S
(D) R, J, M, S, L
(E) R, S, J, L, M
20. If exactly two rounds of matches have been played, beginning with an odd-position round, and if the lower-positioned teams have won every match in those two rounds, then each of the following must be true EXCEPT:
(A) L is one position higher than J.
(B) R is one position higher than L.
(C) S is one position higher than R.
(D) J is in position 4.
(E) M is position 3.
21. Which one of the following could be true after exactly two rounds of matches have been played?
(A) J has won two matches.
(B) L has lost two matches.
(C) R has won two matches.
(D) L’s only match was played against J.
(E) M played against S in two matches.
22. If after exactly three rounds of matches M is in position 4, and J and L have won all of their matches, then which one of the following can be true?
(A) J is in position 2.
(B) J is in position 3.
(C) L is in position 2.
(D) R is in position 1.
(E) S is in position 3.
23. If after exactly three rounds M has won three matches and the rankings of the other four teams relative to each other remain the same, then which one of the following must be in position 3?
(A) J
(B) L
(C) M
(D) R
(E) S
24. If after exactly three rounds the teams, in order from first to fifth position, are R, J, L, S, and M, then which one of the following could be the order, from first to fifth position, of the teams after the second round?
(A) J, R, M, S, L
(B) J, L, S, M, R
(C) R, J, S, L, M
(D) R, L, M, S, J
(E) R, M, L, S, J
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