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Which of the following is true?...

Which of the following is true?

A

`(pwedgeq)=(~p)vee(~q)`

B

`(pveeq)=(~p)wedge(~q)`

C

`ptoq=~pveeq`

D

`~(pveeq)=~pveeq`

Text Solution

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The correct Answer is:
D
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PATHFINDER-STATISTICS AND MATHEMATICAL REASONING-QUESTION BANK
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  2. Which of the following is a tautology? (p being any statement)

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  3. Which of the following is true?

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  4. Which of the following is different from the others?

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  5. Which of the following is different from the others?

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  6. In each of the statements pto~q~rtoq and p is true, then

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  7. Additive identity of the Boolean algebra of logical statement is

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  8. Multiplicative identity of the Boolean algebra of logical statements i...

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  9. Let X be a non-empty set, then P(X)={A:AsubX} is a Boolean lattice w.r...

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  10. Which of the following is true?

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  11. Consider the 2-place Boolean function f :{0,1} rarr{0,1} defined by ...

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  12. If x,y are any two elements of a Boolean lattice, then (x'+y')' is equ...

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  13. The mean of the data set comprising of 16 observations is 16 . If one ...

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  14. The variance of first 20 natural numbers is

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  15. The negation of ~svee(~rwedges) is equivalent to

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  16. the variance of first 50 even natural numbers is ,

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  17. The statement ~(pharr~q) is

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  18. All the students of a class perfomed poorly in mathematic. The techer ...

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  19. Statement I : (p^^∼q)∧(∼p^^q) is a fallacy. Statement II : (p→q)↔(∼q→...

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  20. Let x1,x2,……,xn be n observations, and let barx be their arithimetic m...

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