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Which among the following is equivalent ...

Which among the following is equivalent to `r harr s` ?

A

`(r ^^ s) vv (r vv s)`

B

`(r vv s) vv (r vv ~ s)`

C

`(~ r vv s) vv (r vv s)`

D

`(~ r vv s) ^^ (~s vv r)`

Text Solution

Verified by Experts

The correct Answer is:
D
`because r harr s -= (r to s) ^^ (s to r)`
`-= (~ r vv s) ^^ (~s vv r)`
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-MATHEMATICAL LOGIC -PRACTICE EXERCISE (Exercies 2 (MISCELLANEOUS PROBLEMS))
  1. The negation of (~p ^^ q) vv (p ^^ ~ q) is

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  2. If p : Samir is tall, q : Samir is intelligent, then ~p vv q means

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  3. Which among the following is equivalent to r harr s ?

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  4. Which of the following statements is a tautology?

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  5. Which of the following is True?

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

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  7. Among the following statements, which is a tautology ?

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  8. Which of the following is not always true ?

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  9. Converse of the statement ''If a number x is even, then x^(2) is even'...

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  10. If p to (~ p vvq) is false, the truth values of p and q are , respecti...

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  11. The truth values of p,q and r for which (p ^^ q)vv(~r) has truth value...

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

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  13. The false statement among the following is

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  14. Which of the following is true for any two statements p and q ?

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

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  16. For integers m and n, both greater than 1, consider the following thre...

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  17. The statement ~(p harr ~q) is

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  18. ~[(~p)^^q] is logocally equivalent to

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  19. The statement p to(q to p) is equivalent to

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  20. If S(p,q,r)=(~p)vv(~(q ^^ r)) is a compound statement, then S(~p,~q,~r...

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