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consider : Statement - I : (p^^~q)^^(~...

consider :
Statement - I : `(p^^~q)^^(~p^^q)` is a fallacy .
Statement -II : `(prarrq)harr(~qrarr~p)` is a tautology .

A

Statement -I is true , Statement -II is true , Statement -II is a correct explantion for Statement - I .

B

Statement - I is true , Statement - II is true , Statement -II is not a correct explanation for Statement -I .

C

Statement - I is true , Statement -II is false .

D

Statement - I is false , Statement -II is true .

Text Solution

Verified by Experts

The correct Answer is:
B
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Prove that the statement - ~(pharr q) harr {(p^^~q) vv (~p^^q)} is a tautology.

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Knowledge Check

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

    A
    Statement 1 is true, Statement-2 is true.
    Statement-2 ia not a correct explation for Statement-1
    B
    Statement-1 is true, Statement-2 is false
    C
    Statement-1 is false, Statement-2 is true
    D
    Statement-1 is true, Statement-2 is true, Statement-2 is a correct explanation for Statement-1

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