J, K, L, M, N, and O are square ski chalets of the same size, which are positioned in two straight rows as shown below:
J is directly opposite M; K is directly opposite N; and L is directly opposite O. After a snowstorm, residents shovel a single continuous path that connects all of the chalets and meets the following conditions:
- The path is composed of five straight segments, each of which directly connects exactly two of the chalets.
- Each chalet is directly connected by a segment of the path to another chalet.
- No chalet is directly connected by segments of the path to more than two other chalets.
- No segment of the path crosses any other segment.
- One segment of the path directly connects chalets J and N, and another segment directly connects chalets K and L.
- Which one of the following statements could be true?
- One segment of the path directly connects chalets M and K.
- One segment of the path directly connects chalets M and L.
- One segment of the path directly connects chalets M and O.
- One segment of the path directly connects chalets J and K and another segment directly connects chalets K and M.
- One segment of the path directly connects chalets O and L and another segment directly connects chalets O and N.
- If one segment of the path directly connects chalets K and N, then the two chalets in which one of the following pairs must be directly connected to each other by a segment?
- J and K
- K and O
- L and O
- M and N
- N and O
- If a segment of the path directly connects chalets J and K, then the two chalets in which one of the following pairs must be directly connected to each other by a segment?
- J and M
- K and N
- K and O
- L and O
- N and O
- If one segment of the path directly connects chalets K and O, then which one of the following statements could be true?
- Chalet J is directly connected to chalet M.
- Chalet K is directly connected to chalet N.
- Chalet L is directly connected to chalet O.
- Chalet L is directly connected to exactly two chalets.
- Chalet O is directly connected to exactly one chalet.
- Which one of the following statements, if true, guarantees that one segment of the path directly connects chalets M and N?
- One segment of the path directly connects chalets K and J.
- One segment of the path directly connects chalets N and O.
- One segment of the path directly connects chalet K and a chalet in row 2.
- One segment of the path directly connects chalet L and a chalet in row 2.
- One segment of the path directly connects chalet O and a chalet in row 1.
- Which one of the following chalets cannot be directly connected by segments of the path to exactly two other chalets?
- K
- L
- M
- N
- O
- If no segment of the path directly connects any chalet in row 1 with the chalet in row 2 that is directly opposite it, then each of the following statements must be true EXCEPT:
- A segment of the path directly connects chalets M and N.
- A segment of the path directly connects chalets N and O.
- Chalet L is directly connected to exactly one other chalet.
- Chalet N is directly connected to exactly two other chalets.
- Chalet O is directly connected to exactly two other chalets.
- CAT Logical Reasoning Set 01 [Circular Arrangement]
- CAT Logical Reasoning Set 02 [Tabular Arrangement]
- CAT Logical Reasoning Set 03 [Linear Arrangement]
- CAT Logical Reasoning Set 04 [Tabular Arrangement]
- CAT Logical Reasoning Set 05 [Linear Arrangement]
- CAT Logical Reasoning Set 06 [Linear Arrangement]
- CAT Logical Reasoning Set 07 [Linear Arrangement]
- CAT Logical Reasoning Set 08 [Complex Arrangement]
- CAT Logical Reasoning Set 09 [Complex Arrangement]
- CAT Logical Reasoning Set 010 [Linear Arrangement]
- CAT Logical Reasoning Set 011 [Tabular Arrangement]
- CAT Logical Reasoning Set 012 [Complex Arrangement]
- CAT Logical Reasoning Set 013 [Linear Arrangement]
- CAT Logical Reasoning Set 014 [Complex Arrangement]
- CAT Logical Reasoning Set 015 [Tabular Arrangement]
- CAT Logical Reasoning Set 016 [Miscellaneous]
- CAT Logical Reasoning Set 017 [Complex Arrangement]
- CAT Logical Reasoning Set 018 [Tabular Arrangement]
- CAT Logical Reasoning Set 019 [Conditional]
- CAT Logical Reasoning Set 020 [Tabular Arrangement]
- CAT Logical Reasoning Set 021 [Complex Arrangement]
- CAT Logical Reasoning Set 022 [Complex Arrangement]
- CAT Logical Reasoning Set 023 [Circular Arrangement]
- CAT Logical Reasoning Set 024 [Miscellaneous]
- CAT Logical Reasoning Set 025 [Linear Arrangement]
- CAT Logical Reasoning Set 026 [Tabular Arrangement]
- CAT Logical Reasoning Set 027 [Complex Arrangement]
- CAT Logical Reasoning Set 028 [Tabular Arrangement]
- CAT Logical Reasoning Set 029 [Linear Arrangement]
- CAT Logical Reasoning Set 030 [Circular Arrangement]
- CAT Logical Reasoning Set 031 [Complex Arrangement]
- CAT Logical Reasoning Set 032 [Complex Arrangement]