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Which of the following is true for the p...

Which of the following is true for the propositions p and q ?

A

`p ^^ q` is true when at least one of p and q is true

B

`p rarr q` is true when p is true and q is false

C

`p harr q` is true only when both p and q are true

D

`~(p vv q)` is true only when both p and q are false

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The correct Answer is:
D
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AAKASH SERIES-MATHEMATICAL REASONING -Practice Exercise
  1. Which of the following is true for the propositions p and q ?

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  2. Which of the following is a proposition

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  3. Let p and q be two proposition given by p : I play cricket during th...

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  4. If x = 5 and y = -2, then x - 2y = 9. The contrapositive of this propo...

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  5. Consider the proposition : "If we control population growth, then we p...

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  6. Consider the following propositions p : I have the raincoat. q : I...

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  7. p rarr q is logically equivalent to

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  8. The contrapositive of p rarr (~q rarr ~r) is

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  9. The negation of p ^^ ~(q ^^ r) is

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  10. The contra positive of (~p ^^ q) rarr ~r is

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

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  12. (p ^^ ~q) ^^ (~p vv q) is

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  13. Which of the following is always true ?

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  14. Which of the following propositions is a tautology ?

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  15. Which of the following proposition is a tautology ?

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  16. Observe the following statements I : The dual of [ ~p ^^ q)] vv [ p...

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  17. Match the duals of t he statements in List - I : {:(,"List - I",,"Li...

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  18. Match the duals of the statements in list - I : {:(,"List - I",,"Lis...

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  19. Observe the following statements : Statements - I : (p vv q) ^^ (~p ...

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  20. Observe the following statements Statement - I : p vv ~(p ^^ q) is a...

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  21. Consider the following two statements P :if 7 is an odd number, then...

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