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Discussion

Given below are two statements and four conclusions drawn based on the statements.

Statement 1: Some soaps are clean.
Statement 2: All clean objects are wet.

Conclusion I: Some clean objects are soaps.
Conclusion II: No clean object is a soap.
Conclusion III: Some wet objects are soaps.
Conclusion IV: All wet objects are soaps.

Which one of the following options can be logically inferred?

  • A.Only conclusion I is correct
  • B.Either conclusion I or conclusion II is correct
  • C.Either conclusion III or conclusion IV is correct
  • D.Only conclusion I and conclusion III are correct

Answer: D

Only conclusions I and III are correct.

'Some soaps are clean' converts directly to 'some clean objects are soaps', which is conclusion I. Those clean soaps are wet, because all clean objects are wet, so at least some wet objects are soaps: conclusion III.

Conclusion II, 'no clean object is a soap', contradicts statement 1. Conclusion IV, 'all wet objects are soaps', does not follow: the statements allow wet objects that are neither clean nor soaps. Since I and III both follow, 'only I' is incomplete, and the 'either ... or' options pair a valid conclusion with an invalid one.

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