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Some tables are shelves. Some shelves are chairs. All chairs are benches. Which of the following conclusions can be deduced from the preceding sentences?
i. At least one bench is a table
ii. At least one shelf is a bench
iii. At least one chair is a table
iv. All benches are chairs.  
  • a)
    Only I
  • b)
    Only ii
  • c)
    Only ii and iii
  • d)
    Only iv 
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Some tables are shelves. Some shelves are chairs. All chairs are bench...
Given Information:
- Some tables are shelves.
- Some shelves are chairs.
- All chairs are benches.

Conclusions:
i. At least one bench is a table
ii. At least one shelf is a bench
iii. At least one chair is a table
iv. All benches are chairs.

Explanation:
To deduce the conclusions, let's analyze the given information and each conclusion one by one.

i. At least one bench is a table:
- From the given information, we know that some tables are shelves.
- However, there is no direct information about the relationship between tables and benches.
- Therefore, we cannot deduce that at least one bench is a table.
- This conclusion is not valid.

ii. At least one shelf is a bench:
- From the given information, we know that some shelves are chairs.
- However, there is no direct information about the relationship between shelves and benches.
- Therefore, we cannot deduce that at least one shelf is a bench.
- This conclusion is not valid.

iii. At least one chair is a table:
- From the given information, we know that some tables are shelves.
- We also know that some shelves are chairs.
- Therefore, there is a possibility that some chairs can be tables indirectly through the relationship: chairs -> shelves -> tables.
- This conclusion is valid.

iv. All benches are chairs:
- From the given information, we know that all chairs are benches.
- Therefore, it can be deduced that all benches are chairs.
- This conclusion is valid.

Conclusion:
Based on the analysis, the valid conclusions are:
- At least one chair is a table (iii)
- All benches are chairs (iv)

Hence, the correct answer is option 'B': Only ii.
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Some tables are shelves. Some shelves are chairs. All chairs are benches. Which of the following conclusions can be deduced from the preceding sentences?i. At least one bench is a tableii. At least one shelf is a benchiii. At least one chair is a tableiv. All benches are chairs. a)Only Ib)Only iic)Only ii and iiid)Only ivCorrect answer is option 'B'. Can you explain this answer?
Question Description
Some tables are shelves. Some shelves are chairs. All chairs are benches. Which of the following conclusions can be deduced from the preceding sentences?i. At least one bench is a tableii. At least one shelf is a benchiii. At least one chair is a tableiv. All benches are chairs. a)Only Ib)Only iic)Only ii and iiid)Only ivCorrect answer is option 'B'. Can you explain this answer? for GATE 2025 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about Some tables are shelves. Some shelves are chairs. All chairs are benches. Which of the following conclusions can be deduced from the preceding sentences?i. At least one bench is a tableii. At least one shelf is a benchiii. At least one chair is a tableiv. All benches are chairs. a)Only Ib)Only iic)Only ii and iiid)Only ivCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for GATE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Some tables are shelves. Some shelves are chairs. All chairs are benches. Which of the following conclusions can be deduced from the preceding sentences?i. At least one bench is a tableii. At least one shelf is a benchiii. At least one chair is a tableiv. All benches are chairs. a)Only Ib)Only iic)Only ii and iiid)Only ivCorrect answer is option 'B'. Can you explain this answer?.
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