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If p,q,r have truth values T,F,T respect...

If p,q,r have truth values T,F,T respectively, which of the following is true ?

A

` ( p to q) ^^ r`

B

` ( p to q) ^^ ~ r`

C

` ( p^^ q) ^^ ( p vv r)`

D

` q to ( p ^^ r)`

Text Solution

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The correct Answer is:
D
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OBJECTIVE RD SHARMA-MATHEMATICAL REASONING -Exercise
  1. Which of the following is false ?

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  2. Given that water freezes below zero degree celsius. Consider the fo...

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  3. If p,q,r have truth values T,F,T respectively, which of the following ...

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  4. If p to (q vv r) is false, then the truth values of p,q,r are respect...

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

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

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

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  8. which of the following is a contradiction ?

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

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

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

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

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

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

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  15. p to q is logically equivalent to

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

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

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

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

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

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