If is false, then the truth values| Mathematical Reasoning

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JEE MAIN 2020

09-01-2020 S2

Question

If $p \rightarrow(p \wedge \sim q)$ is false, then the truth values of $p$ and $q$ are respectively :

Select the correct option:

A

T, T

B

F, F

C

T, F

D

F, T

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

p → (p ∧ ~q) is false
Than p → T
(p ∧ ~q) is false
So when P is true and p∧ ~q is false so there is only one possility when q is also true. So truth value of p and q will be TT.

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