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Logical Deduction

Q1: Statements: All cups are glasses. Some glasses are bowls. No bowl is a plate. Conclusions:
  1. No cup is a plate.
  2. No glass is a plate.
  3. Some plates are bowls.
  4. Some cups are not glasses.

A None follows

B Only either I or III follows

C Only II and III follow

D Only III and IV follow

E None of these

ANS:A - None follows

Explanation: All cups are glasses. Some glasses are bowls. Since the middle term 'glasses' is not distributed even once in the premises, no definite conclusion follows. Some glasses are bowls. No bowl is a plate. Since one premise is particular and the other negative, the conclusion must be particular negative and should not contain the middle term. So, it follows that 'Some glasses are not plates'.



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