In the following question below are given some statements followed by some conclusions. Taking the given statements to be true even if they seem to be at variance from commonly known facts, read all the conclusions and then decide which of the given conclusion logically follows the given statements. Statements: I. All cups are chairs. II. All chairs are tables. Conclusions: I. Some tables are cups. II. Some chairs are tables.
In the following question below are given some statements followed by some conclusions. Taking the given statements to be true even if they seem to be at variance from commonly known facts, read all the conclusions and then decide which of the given conclusion logically follows the given statements. Statements: I. All cups are chairs. II. All chairs are tables. Conclusions: I. Some tables are cups. II. Some chairs are tables. Correct Answer Both conclusion follow
Important Concepts:
- Meaning of "Some A are B" in Syllogism - there is at least one point in A which is in B.
- Meaning of "All A are B" in Syllogism - each point of A is in B.
- Therefore, if "All A are B" is true, then "some A are B" and "Some B are A" are always true (100%).
- But "Some B are not A" and "All B are A" are false (this case is considered as can't say)
We draw the least possible Venn diagram:
Additional Information
’Some’ is a subset of ‘All’. If in statements it is given that ‘All A are B’ then the conclusion ‘Some A are B’ would always be True.
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