Consider the following propositions. p: I will study hard. q: My dad will buy me a car. Which of the following is equivalent to pq ?

MATLAB: An Introduction with Applications
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Consider the following propositions.
     p: I will study hard.                  q: My dad will buy me a car.
 
Which of the following is equivalent to pq ?
 
 
  1.   I will not study hard but my dad will buy me a car.
     
  2.  I will not study hard if my dad will not buy me a car.    
     
  3.  I will not study hard and my dad will not buy me a car.                       
     
  4. I will not study hard if and only if my dad will not buy me a car
    A proposition that is neither a tautology nor a contradiction is called
     
    1.  fallacy                
       
    2. contingency              
       
    3.  argument                  
       
    4. atomic
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