Engineering
Mathematics
Logical Operator Reasoning Conditional and Bi Conditional
Question
The logical statement (p ⇒ q) ∧ (q ⇒ ~p) is equivalent to :
Know your College Admission Chances Based on your Rank/Percentile, Category and Home State.
Get your JEE Main Personalised Report with Top Predicted Colleges in JoSA
Solution
| p | q | p → q | ~ p | q →~p | (p → q) ∧ (q →~p) |
| T | T | T | F | F | F |
| T | F | F | F | T | F |
| F | T | T | T | T | T |
| F | F | T | T | T | T |
Clearly (p → q) ∧ (q → ~p) is equivalent to ~p