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Which of the following is logically equi...

Which of the following is logically equivalent to ( p^q) ?

A

` p to ~ q`

B

` p ^^ ~ q`

C

` ~ p ^^ q`

D

` ~ ( ~ P ^^ ~ q`

Text Solution

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The correct Answer is:
C
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p to q is logically equivalent to

OBJECTIVE RD SHARMA-MATHEMATICAL REASONING -Exercise
  1. If p to (q vv r) is false, then the truth values of p,q,r are respect...

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  2. The negation of the propostion q vv ~ ( p ^^ r) is

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  3. Which of the following is logically equivalent to ( p^q) ?

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  4. Which of the following is logically equivalent to ~(~pto q)?

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  5. which of the following is a contradiction ?

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  6. The negative of the statement If a number isdivisible by 15 then it is...

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  7. Consider the proposition : " if the pressure increases, the volume dec...

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  8. Consider the proposition : " if we control polulation growth, we prosp...

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  9. The negative of p ^^ ~ ( p ^^ r) is

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  10. The nagative of p ^^ ~ ( ~ q ^^ r) is

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  11. The contra positive of ( ~ p ^^ q) to ~ r is

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  12. p to q is logically equivalent to

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  13. Which of the following is logcially equivalent to ~ ( p harr q) ?

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  14. Which of the following is logically equivalent to ~( p to q) ?

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  15. which of the following is logically equivalent to ( p ^^ q) ?

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  16. The contrapositive of 2x +3 =9 Rightarrow x ne 4 is

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

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  18. Consider the following statements: p : I shall pass, q : I study ...

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  19. The proposition p to ~ (p ^^ ~ q) is

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  20. ~(p vv q)vv (~p ^^ q) is logically equivalent to

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