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In the following question below are given three statements followed by three 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 conclusions logically follows the given statements. Statements: I. All vehicles are tables. II. No vehicle is chair Conclusions: I. Some vehicles are tables. II. Some tables are chairs III. All vehicles are chairs.

In the following question below are given three statements followed by three 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 conclusions logically follows the given statements. Statements: I. All vehicles are tables. II. No vehicle is chair Conclusions: I. Some vehicles are tables. II. Some tables are chairs III. All vehicles are chairs. Correct Answer Only conclusion (I) follows.

Concept:

  • Meaning of "Some A are B" in Syllogism - there is at least one point in A that is in B or at least one part of A that is in B.
  • Meaning of "All A are B" in Syllogism - each point of A is in B or each part of A is in B.
  • Therefore, if "All A are B" is true, then "some A are B" is always true.

Least possible Venn diagram:

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Explanation:

I: Some vehicles are tables → True (As All vehicles are tables, some vehicles are definitely tables.)

II: Some tables are chairs → False (it is possible but not definite. If the conclusion was "some tables can be chairs" then it would have been true)

III: All vehicles are chairs → False (This is definitely false as it is given that no vehicle is a chair)

Conclusion:

Hence, "only conclusion I follows" is the correct answer.

Related Questions

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