Consider : Statement-I : (p q) ( p q) is a fallacy. Statement-II: (p q) ( q p) is a tautology.

JEE Main 2013 Mathematics question

Not in JEE syllabus

Consider : Statement-I : is a fallacy. Statement-II: is a tautology.

(1)Statement-I is true; Statement-II is false.
(2)Statement-I is false, Statement-II is true.
(3)Statement-I is true; Statement-II is true; Statement-II is a correct explanation for Statement-I.
(4)Statement-I is true; Statement-II is true; Statement-II is not a correct explanation for Statement-I.Correct

Answer: (4)

By truth table, Statement-I is always false (fallacy) - true. Statement-II is always true (tautology) - true. But II does not explain I.

Question ID VK-000875