Discussion
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
Answer: B
Only conclusion ii follows.
Some shelves are chairs, and all chairs are benches, so those shelves that are chairs are also benches: at least one shelf is a bench (ii).
The other conclusions do not follow. The tables that are shelves need not be the same shelves that are chairs, so no table need be a bench or a chair, which rules out i and iii. 'All chairs are benches' does not mean 'all benches are chairs'; benches may include things that are not chairs, so iv fails.
That makes 'Only ii' correct, and every option including i, iii or iv wrong.
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