Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Engineering
  • Let  be three statements such that the truth value of 

Let p,q,r be three statements such that the truth value of (p\wedge q)\rightarrow (\sim q\vee r) is F. Then  the truth values of p,q,r  are respectively :
Option: 1 T,F,T
Option: 2 T,T,T
Option: 3 F,T,F
Option: 4 T,T,F

Answers (1)

best_answer

\begin{array}{l} (p \wedge q) \rightarrow(\sim q \vee r)=\text { false } \\ \text { when }(p \wedge q)=T \\ \text { and } \quad(\sim q \vee r)=F \end{array}

\begin{aligned} &\text { So }(p \wedge q)=T \text { is possible when } p=q=\text { true }\\ &\therefore \sim q=\text { False }(q=\text { true }) \end{aligned}

\begin{aligned} &\text { So }(\sim q \vee r)=\text { False is possible if } r \text { is false }\\ &\therefore \quad \mathrm{p}=\mathrm{T}, \mathrm{q}=\mathrm{T}, \mathrm{r}=\mathrm{F} \end{aligned}

Posted by

himanshu.meshram

View full answer

JEE Main high-scoring chapters and topics

Study 40% syllabus and score up to 100% marks in JEE

Similar Questions

Trending Articles/News

anam-khan

JEE Main 2024 session 2 final answer key soon at jeemain.nta.ac.in; result on April 25
anam-khan

JEE Main 2024 Session 2: Last day to challenge answer key today
anam-khan

BTech admission 2024 without JEE; top government engineering colleges, upcoming entrance exams

Latest Question