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If p,q and r are simple propositions suc...

If p,q and r are simple propositions such that `(p^^q)^^(q^^r)` is true, then

A

p,q,r are all false

B

p,q,r are all true

C

p,q,r are true and r is false

D

p is true and r is false

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The correct Answer is:
B
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OBJECTIVE RD SHARMA ENGLISH-MATHEMATICAL REASONING -Exercise
  1. If p and q are two simple propositions, then p to q is false when

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  2. If p and q are two statement then (p <-> ~ q) is true when : (a) p and...

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  3. If p,q and r are simple propositions such that (p^^q)^^(q^^r) is true,...

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  4. If p and q are two propositions, then ~ ( p harr q) is

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  5. p ^^ ( q ^^ r) is logically equivalent to

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  6. ~ ( ~p) harr p is

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  7. Which of the following is a proposition ?

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  8. Which of the following propositions is a tautology ?

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  9. The conditional statement (p^^q) to p is

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  10. Which of the following is false ?

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

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

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  13. If p to (qvvr) is false, then the truth values of p,q, and r are, res...

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

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

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

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  17. which of the following is a contradiction ?

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  18. Write the negative of the proposition : "If a number is divisible by 1...

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

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

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