A railway company has exactly three lines: line 1, line 2, and line 3. The company prints three sets of tickets for January and three sets of tickets for February: one set for each of its lines for each of the two months. The company’s tickets are printed in a manner consistent with the following conditions:
- Each of the six sets of tickets is exactly one of the following colors: green, purple, red, yellow.
- For each line, the January tickets are a different color than the February tickets.
- For each month, tickets for different lines are in different colors.
- Exactly one set of January tickets is red.
- For line 3, either the January tickets or the February tickets, but not both, are green.
- The January tickets for line 2 are purple.
- No February tickets are purple.
- If the line 3 tickets for January are red, then which one of the following statements must be true?
- The line 1 tickets for January are green.
- The line 1 tickets for January are yellow.
- The line 1 tickets for February are red.
- The line 2 tickets for February are yellow.
- The line 3 tickets for February are green.
- If one set of the line 2 tickets is green, then which one of the following statements must be true?
- The line 1 tickets for January are red.
- The line 3 tickets for January are red.
- The line 1 tickets for February are red.
- The line 3 tickets for February are green.
- The line 3 tickets for February are yellow.
- Which one of the following statements could be true?
- No January ticket is green.
- No February ticket is green.
- Only line 2 tickets are red.
- One set of January tickets is green and one set of January tickets is yellow.
- The line 2 tickets for January are the same color as the line 1 tickets for February.
- Which one of the following statements could be true?
- Both the line 1 tickets for January and the line 2 tickets for February are green.
- Both the line 1 tickets for January and the line 2 tickets for February are yellow.
- Both the line 1 tickets for January and the line 3 tickets for February are yellow.
- The line 1 tickets for January are green, and the line 3 tickets for February are red.
- The line 3 tickets for January are yellow, and the line 1 tickets for February are red.
- If the line 3 tickets for February are yellow, then each of the following statements must be true EXCEPT:
- One set of January tickets is green.
- One set of line 1 tickets is red.
- One set of line 2 tickets is red.
- The tickets in two of the six sets are red.
- The tickets in two of the six sets are yellow.
- Suppose that none of the ticket sets are purple. If all of the other conditions remain the same, then which one of the following statements could be true?
- None of the January tickets are green.
- None of the February tickets are green.
- None of the line 2 tickets are green.
- No line 1 or line 2 tickets are yellow.
- No line 2 or line 3 tickets are red.
- 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]