Q. If $p$ and $q$ are two statements, then statement $p \Rightarrow q \land \sim q$ is
A) Tautology
B) Contradiction
C) Neither tautology not contradiction
D) None of the above
Explanation
(c)
By truth table
[table] $p$ | $q$ | $\sim q$ | $q \land \sim q$ | $p \Rightarrow q \land \sim q$ ; T
T
F
F | T
F
T
F | F
T
F
T | F
F
F
F | F
F
T
T [/table]
Hence, it is neither a tautology nor contradiction
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.