Take the given statements to be true even if they seem to be at variance with commonly known facts. Then decide which of the given conclusions logically follow the given statements. Statements : 0% chairs are tables. All computers are chairs. Some books are tables. Conclusions : I. Not a single table is a computer. II. Some books are not chairs.
Syllogism Analysis
We need to determine which conclusions logically follow from the given statements.
Statements Analysis
- Statement 1: 0% chairs are tables. This is equivalent to "No chairs are tables."
- Statement 2: All computers are chairs.
- Statement 3: Some books are tables.
Conclusion I Evaluation
Conclusion I: Not a single table is a computer.
- From Statement 1, we know: No chairs are tables.
- From Statement 2, we know: All computers are chairs.
- Combining these: If all computers belong to the 'chairs' category, and the 'chairs' category is entirely separate from the 'tables' category, then computers must also be separate from tables.
- Therefore, "No computer is a table" or equivalently "No table is a computer" logically follows. Conclusion I follows.
Conclusion II Evaluation
Conclusion II: Some books are not chairs.
- From Statement 3, we know: Some books are tables. Let's call this group 'Book Group A'.
- From Statement 1, we know: No chairs are tables. This means the category 'chairs' and 'tables' do not overlap at all.
- Since 'Book Group A' consists of books that are tables, and no tables are chairs, the books in 'Book Group A' cannot be chairs.
- Therefore, "Some books (those that are tables) are not chairs" logically follows. Conclusion II follows.
Final Decision
Both Conclusion I and Conclusion II logically follow from the given statements.
Important Questions from Syllogism (Notes)
- Disregard commonly known facts. Which conclusion would follow on the basis of given statements only.
Statement: Some bottles are car. some cars are cycle.
Conclusion:
(I) Some bottles are cycle is a possibility
(II) All bottles are cycle
In light of the above statements, choose the most appropriate answer from the options given below. Directions: Study the following Bar-chart and the data provided to answer the questions that follow: Sales of 3-different companies selling T-Shirts for the years from 2006 to 2009 are given. How much percentage of sales decreased for Brand X T-shirt in 2009 compared with 2007?
Statements:
All herbivores are carnivores.
Some carnivores are omnivores.
Conclusions:
i) Some herbivores are omnivores.
ii) Some carnivores are herbivores.
Statements:
All sweets are snacks.
All snacks are crisps.
All crisps are tasty.
Conclusions:
i) All sweets are crisps.
ii) All snacks are tasty.
- In a community, some artists are teachers, no teacher is a painter, all painters are artists, and all teachers are professionals. Then it can be definitely asserted that
