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Discussion

Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements. Statements: No gates are windows. All floors are gates. Conclusions:

(I) No floor is a window.
(II) Some floors are windows.

  • A.Only conclusion I follows
  • B.Only conclusion II follows
  • C.Either conclusion I or II follows
  • D.Neither conclusion I nor II follows

Answer: A

Only conclusion I follows.

All floors are gates, and no gate is a window, so no floor can be a window. That is exactly conclusion I. Conclusion II says some floors are windows, which directly contradicts it, so II cannot follow.

Because I is certain and II is false, the 'either I or II' and 'neither' options are wrong as well. Only the first option is correct.

Drawing it helps: circle 'floors' inside the circle 'gates' and keep the circle 'windows' fully outside 'gates'. The floor circle is then also outside the window circle, so no floor is a window. A statement that two sets overlap, as in II, cannot be drawn without breaking this picture.

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