Directions : Questions are Assertion- Reason type questions. Each of these questions contains two statements :
Statement- 1 (Assertion) and Statement - 2 (Reason).
Each of these questions also has four alternative choices, only one of which is the correct answer. You have to select the correct choice.
Question :
Statement- 1 : is equivalent to
Statement- 2 : is a tautology.
Statement-1 is true,Statement-2 is true; Statement-2 is not a correct explanation for Statement-1
Statement- 1 is true, Statement-2 is false
Statement-1 is false, Statement-2 is true
Statement-1 is true, Statement-2 is true; Statement-2 is correct explanation for Statement-1
As we learnt in
If and only if -
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Tautology -
A statement pattern is called tautalogy, if it is always true, whatever may be the truth values of constitute statements.
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Fallacy or contradiction -
A statement pattern is called a fallacy if it is always false, whatever may be the truth values of its constituent statements.
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is equivalent to
as their truth tables are identical.
But truth table of has false results as well, so it is not a tautology.
Option 1)
Statement-1 is true,Statement-2 is true; Statement-2 is not a correct explanation for Statement-1
Incorrect option
Option 2)
Statement- 1 is true, Statement-2 is false
Correct option
Option 3)
Statement-1 is false, Statement-2 is true
Incorrect option
Option 4)
Statement-1 is true, Statement-2 is true; Statement-2 is correct explanation for Statement-1
Incorrect option
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