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(p ^^ ~q) ^^ (~p ^^ q) is a...

`(p ^^ ~q) ^^ (~p ^^ q)` is a

A

a tautology

B

a contradiction

C

both a tautology and a contradiction

D

neither a tautology nor a contradiction

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Verified by Experts

The correct Answer is:
B
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DISHA PUBLICATION-MATHEMATICAL REASONING-Exercise-2 : Concept Applicator
  1. If p: 'Ram is tall' and q: 'Ram is intelligent' , then the statement ...

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  2. which of the following is/are connectives?

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  3. (p ^^ ~q) ^^ (~p ^^ q) is a

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  4. Consider the statement p: 'New Delhi is a city'. Which of the followin...

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  5. Write the negation of statement sqrt(2) is not a complex number.

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  6. Which of the following statement is a contradiction: (1)(~p vv ~q) v...

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  7. If p,q and r simple propositions with truth values T, F, T, then the t...

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  8. Consider the following Statements p : A tumbler is half empty. A tum...

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  9. The contrapositive of (p vv q)to r is

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  10. If p to (~ p vvq) is false, the truth values of p and q are , respecti...

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  11. ~(~p^^q), "is equal to"

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  12. The contrapositive of inverse of p to ~ q is

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  13. Identify the False statements

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  14. If p rArr (q vee r) is false, then the truth values of p, q, r ar...

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  15. Let p: Kiran passed the examination, q: Kiran is sad The symbolic ...

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  16. If p denotes "It is cold" and q denote "It rains" , write the statemen...

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  17. Which of the following is true?

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  18. The proposition (p to ~p) ^^ (~p to p) is a

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  19. Consider the following statements - p : 4 is an even prime number ...

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  20. If p, q are true and r is false statement then which of the following ...

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