Truth and validity cases – UGC NET Question

Statements A, B, C and D all describe logically possible combinations of truth and validity, whereas E is false. Validity concerns whether a true-premise situation can ever lead to a false conclusion; it does not rule out cases where premises are false. Invalid arguments with true premises may happen to have true conclusions, showing that invalidity does not force falsity of the conclusion. Hence the only wrong claim is that every invalid argument with true premises must have a false conclusion, making E the unique incorrect statement.

Option A:
Option A is wrong because it marks D as the sole incorrect statement even though D correctly notes that invalid arguments can still reach true conclusions by coincidence. Treating D as wrong confuses the distinction between logical guarantee and accidental truth.

Option B:
Option B is correct since it singles out E, which overstates the consequences of invalidity, as the only false statement among generally accepted logical possibilities. This fits the standard truth–validity matrix taught for exam preparation.

Option C:
Option C fails because it groups D with E as wrong, but D is a well-known counterexample pattern to the idea that invalidity always yields false conclusions. Saying D and E only misrepresents one true logical observation.

Option D:
Option D is also incorrect, as it labels C as wrong along with D and E, even though C simply describes a possible situation where a valid form is used with false premises and a false conclusion. As long as there is no row with true premises and a false conclusion, such a case is compatible with validity.