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Discussion

Statements : All bottles are glasses. All glasses are jugs.

Conclusions :
I-All bottles are jugs.
II-All jugs are bottles.
III-Some glasses are bottles.

Which one of the four given choices is correct ?

  • A.Only conclusion I follows
  • B.Conclusion I and II follow
  • C.Conclusion II and III follow
  • D.Conclusion I and III follow

Answer: D

The correct choice is Conclusion I and III follow.

From 'All bottles are glasses' and 'All glasses are jugs', every bottle is a glass and every glass is a jug, so all bottles are jugs: conclusion I follows. 'All bottles are glasses' also means that those glasses which are bottles exist, so 'Some glasses are bottles' follows by conversion: conclusion III follows.

Conclusion II, 'All jugs are bottles', reverses a universal statement. There may be jugs that are not glasses, and glasses that are not bottles, so it does not follow. That rules out every option containing II.

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