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Show that ( p vee q) ^^ ( ~ p ^^ ~ q)...

Show that ` ( p vee q) ^^ ( ~ p ^^ ~ q) ` is a contradion .

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The truth table for the given statement patterm is a given below :

It is evident from the truth table that the given statement patterm is as given below :
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Show that ~(p harr q) -= ( p ^^ ~q) vv(~p ^^q) .

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For any statements p, show that . (i) p vee ~ p is a tautology , ( ii) p ^^ ~ p is a contradiction

Show that (i) ~ [ p ^^ ( ~p) ] is a tautology (ii) ~ [ p vee ( ~ p)] is a contradication.

Write the duals of the following statements : (i) ( p vee q) vee r (ii) p ^^ q) ^^ r (iii) ( p vv q) ^^ (r vv s)

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OBJECTIVE RD SHARMA-MATHEMATICAL REASONING -Chapter Test
  1. Show that ( p vee q) ^^ ( ~ p ^^ ~ q) is a contradion .

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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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