Join the Most Relevant JEE Main 2025 Test Series & get 99+ percentile! Join Now
Search any question & find its solution
Question: Answered & Verified by Expert
If $p \rightarrow(p \wedge \sim q)$ is false, then the truth values of $p$ and $q$ are respectively
MathematicsMathematical ReasoningMHT CETMHT CET 2022 (05 Aug Shift 2)
Options:
  • A F, F
  • B $\mathrm{T}, \mathrm{F}$
  • C $\mathrm{F}, \mathrm{T}$
  • D $\mathrm{T}, \mathrm{T}$
Solution:
1947 Upvotes Verified Answer
The correct answer is: $\mathrm{T}, \mathrm{T}$
$\mathrm{p} \rightarrow(\mathrm{p} \wedge \sim \mathrm{q})$ will be false if
$\mathrm{P}$ is true and $\mathrm{p} \wedge \sim \mathrm{q}$ is false
$\Rightarrow \mathrm{P}$ is true and $\mathrm{q}$ is true

Looking for more such questions to practice?

Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.