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Negation of the statement ~ p to (q vv...

Negation of the statement ` ~ p to (q vv r)` is

A

` p to ~ ( q vv r)`

B

` p vv (q ^^ r)`

C

` ~ p ^^ (~ q ^^ ~ r)`

D

` p ^^ ( q vv r)`

Text Solution

Verified by Experts

The correct Answer is:
C
we know that
` ~ ( p to q) cong p ^^ ~ q`
` ~ ( ~ p to ( q vv r)) ~ p ^^ ~ ( q vv r) cong p ^^ ( ~ q ^^ ~ r)`
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OBJECTIVE RD SHARMA-MATHEMATICAL REASONING -Section I - Solved Mcqs
  1. The negation of q vv ~ ( p ^^ r) is

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  2. Which of the following is always true ?

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  3. Negation of the statement ~ p to (q vv r) is

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  4. The negation of the propostion " if a quadrillatcral is a square, then...

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  5. The contrapositive of (pvvq) to r is

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  6. The contrapositive of p to ( ~ q to ~ r) is

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  7. The contrapositive of the statement "if 2^(2) =5 then I get first cla...

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  8. If x = 5 nad y = -2 , then x -2y =9, the contrapositive of this propos...

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  9. The diagonals of a rhombus are perpendicular. The contrapositive of th...

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  10. Which of the following is wrong?

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  11. The symbolic form of logic of the circuit given below is : (RDSMATH...

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  12. Which of the following statements is a tautology ?

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  13. The statement p to(q to p) is equivalent to

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  14. Let S be non-empty subset of R. consider the following statement: P:...

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  15. Consider the following statements P: Suman is brilliant Q: Suman i...

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  16. The only statement among the following i.e. a tautology is

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  17. Let p and q be two statements. Amongst the following , the statement t...

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  18. The statement ~(p harr ~q) is

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  19. The negation of ~ svv(~ r^^s) is equivalent to :

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  20. The Bolean Expression ( p ^^ ~ q) vv q vv ( ~ p ^^ q vv ( ~ p ^^ q) ...

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