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If `p and q` are two statement then `(p <-> ~ q)` is true when : (a) `p and q` both are true (b) `p and q` both are false (c) `p` is false and `q` ia true (d) Non of these

A

p and q both are ture

B

p and q both are false

C

p is false and q is true

D

None of these

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The correct Answer is:
C
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DISHA PUBLICATION-MATHEMATICAL REASONING-Exercise-1 : Concept Builder
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  2. Which of the following is a contradiction

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

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  4. Which of the following is true?

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  5. The compound statement p to ( ~ p vv q) is false, then the truth va...

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  6. Which of the following is not logically equivalent to the proposition?...

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

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

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  9. ~(prarrq)rarr[(~p)vv(~q)] is

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  10. Consider the following statement. "If a triangle is equiangular, then...

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  11. Negation of the proposition : If we control population growth, we pros...

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  12. Consider the following statements : p: He is intelligent q: He is ...

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  13. The inverse of the statement (p ^^ ~ q) -> r is

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  14. The contrapositive of the statement, 'If I do not Secure good marks th...

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  15. Which of the following is the converse of the statement? "if Billu sec...

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  16. If p, q and r are any three logical statements, then which one of the ...

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  17. Negation of the statement (p ^^ r) -> (r vv q) is-

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  18. Write the negation of the compound propostion . "If the examination is...

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

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  20. The contrapositive of p -> (~q -> ~r) is-

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