Statements: All buildings are streets. Some streets are canals. Conclusions:…

2024

Statements:

All buildings are streets.

Some streets are canals.

Conclusions:

I. Some canals are buildings.

II. All streets are canals.

  1. A.

    Only conclusion I is correct.

  2. B.

    Only conclusion II is correct.

  3. C.

    Either I or II is correct.

  4. D.

    Neither I nor II is correct.

Attempted by 25 students.

Show answer & explanation

Correct answer: D

Concept:

A conclusion follows from a syllogism only if it is forced by every diagram consistent with the premises. A particular ('some') statement links only part of its subject to its predicate, so it can never be stretched into a universal ('all') claim, and it does not by itself guarantee a link to a term that appears only in the other premise.

Application:

  1. Statement 1 places every building inside streets: All buildings are streets.

  2. Statement 2 places only part of streets inside canals: Some streets are canals.

  3. Conclusion I claims some canals are buildings. Buildings could sit entirely in the part of streets that is not canals, so this overlap is only possible, not forced - Conclusion I does not follow.

  4. Conclusion II claims all streets are canals. Statement 2 only established that some streets are canals, so extending it to all streets is unsupported - Conclusion II does not follow.

Cross-check:

Draw one diagram where the buildings-circle sits fully outside the canals-circle (still satisfies both statements, but breaks Conclusion I), and another where part of the streets-circle stays outside the canals-circle (still satisfies both statements, but breaks Conclusion II). Since a valid alternative diagram exists for each conclusion, neither is definite.

Result:

Neither I nor II follows, so the correct choice is the option stating that neither conclusion is correct.

Explore the full course: Tcs Live Preparation

Loading lesson…