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Verify that the statement P vee ~( p ^^ ...

Verify that the statement `P vee ~( p ^^ q)` is a tautology.

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The truth table of the given statement is as given below :

Clearly, the truth value of ` p vee ~ ( p ^^ q)` is 7 for all values of p and q. so, it is a tautology.
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OBJECTIVE RD SHARMA-MATHEMATICAL REASONING -Chapter Test
  1. Verify that the statement P vee ~( p ^^ q) is a tautology.

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  2. Which of the following sentences is a statement ?

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  3. The property ~ ( p ^^ q) -= ~ p vv ~ q is called

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  4. When does the inverse of the statement ~ p Rightarrow q results in T...

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  5. which of the following is a contradiction ?

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  6. In which of the following is equivalent cases, p Rightarrow q is fal...

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  7. Which of the following is equivalent to p Rightarrow q ?

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  8. Which of the following pairs are logically equivalent ?

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  9. Which of the following is contingency ?

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  10. The statement p vv q is

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  11. Which of the following is a tautology ?

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  12. The statement p Rightarrow p vv q

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  13. what are the truth values of ( ~ p Rightarrow ~ q) and ~( ~ p Rightar...

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  14. If truth values of p vv q is true ,then truth value of ~ p ^^ q is

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  15. If p and q are two statements, then p vv ~ ( p Rightarrow ~ q) is ...

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  16. The contrapositive of statement ~ p Rightarrow ( p ^^ ~ q) is

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  17. ~ [ ~ p ^^ ( p harr q)] -=

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  18. If a compound statement r is contradiction , then the truth value of ...

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  19. When does the value of the statement (p ^^ r) harr ( r ^^ q) become...

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  20. If p always speaks against q, then p Rightarrow p vv ~ q is

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  21. Which of the following connectives satisfy commutatiive law ?

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