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Assignment 1 of MTH001 (Fall 2013)
Maximum Marks: 20
Due Date: 18112013
DON’T MISS THESE: Important instructions before attempting the solution of this assignment:
Question No 1 Marks:12
Using the truth table, show that:
and are equivalent.
p 
q 
r 






T 
T 
T 






T 
T 
F 






T 
F 
T 






T 
F 
F 






F 
T 
T 






F 
T 
F 






F 
F 
T 






F 
F 
F 






Question No 2 Marks:8
Using the laws of logic show that
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p Q r
~q p˄~q ˜r r˄~r
T T T T F F F F
T T F T F F T F
T F T F T T F F
T F F F T T T F
F T T T F F F F
F T F T F F T F
F F T T T T F F
F F F T T T T F
Solution:
Q2: Using the laws of logic show that
Solution:
p q ~p pvq ~p˄q ~(~p˄q) (pvq)˄~(~p˄q)
T T F T F T T
T F F T F T T
F T T T T F F
F F T F F T F
MTH001_Assignment#01_Solution_Fall_2013
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