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Question

Let A,B,C and D be four non-empty sets. The contrapositive statement of "If AB and BD, then AC" is :
  1. If AC, then AB or BD
  2. If AC, then BA or DB
  3. If AC, then AB and BD
  4. If AC, then AB and BD


Solution

The correct option is A If AC, then AB or BD
Let the statements AB be p,
BD be q
and AC be r.
The logical statement is (pq)r
The contrapositive of above statement is r(p q)  
i.e, r(p q)  
The contrapositive of the given statement is ''If AC, then AB or BD

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