Register

GO Classes DPP | GATE CS | Discrete Mathematics| Propositional Logic

344 views

4 Answers

0 0 votes

(p ∧ ¬q) ∨ (¬p ∧ q) ∨ (¬p ∧ ¬q)

Case:1 p = TRUE => (T ∧ ¬q) ∨ (F ∧ q) ∨ (F ∧ ¬q) = ¬q ∨ F ∨ F = ¬q

a. ¬p ∨ ¬q = F ∨ ¬q = ¬q

b. p ∨ ¬q = T ∨ ¬q = T

c. p ∨ q = T ∨ q = T

d. ¬p ∨ q = F ∨ q = q

Case:2 p = FALSE => (F ∧ ¬q) ∨ (T ∧ q) ∨ (T ∧ ¬q) = F ∨ q ∨ ¬q = TRUE

a. ¬p ∨ ¬q = T ∨ ¬q = TRUE

b. p ∨ ¬q = F ∨ ¬q = ¬q

c. p ∨ q = F ∨ q = q

d. ¬p ∨ q = T ∨ q = TRUE

 

Answer: A

Voting & Accepting an answer helps improve the community
Answer:
← Previous · GO Classes DPP | GAT...Next → · GO Classes DPP | GAT...
← Previous in category · GO Classes DPP | GAT...Next in category → · GO Classes DPP | GAT...
Position:
Show:

Related questions

3 3 votes
2 2 answers
287
287 views
GO Classes asked Mar 23
287 views
GO Classes DPP | GATE CS | Discrete Mathematics| Propositional Logic
The negation of the statement $((A \wedge(B \vee C)) \Rightarrow(A \vee B)) \Rightarrow A$ isequivalent to $B \vee \sim C$equivalent to $\sim A$equivalent to $\sim C$a fa...
4 4 votes
5 5 answers
390
390 views
GO Classes asked Mar 23
390 views
GO Classes DPP | GATE CS | Discrete Mathematics| Propositional Logic
Let $p$ : "Jupiter is a planet" and $q$ : "India is an island." Which of the following is the correct verbal description of $p \rightarrow \neg q$ ?Jupiter is a planet if...
3 3 votes
4 4 answers
353
353 views
GO Classes asked Mar 23
353 views
GO Classes DPP | GATE CS | Discrete Mathematics| Propositional Logic
Let $p$ : "Jupiter is a planet" and $q$ : "India is an island." Which of the following is the correct verbal description of $\neg p$ ?Jupiter is a planet and India is an ...
6 6 votes
4 4 answers
514
514 views
GO Classes asked Mar 23
514 views
GO Classes DPP | GATE CS | Discrete Mathematics| Propositional Logic
Aunt Nellie baked a pie and left it to cool. Upon returning home she finds that exactly one of her four visiting relatives - Charles, Kelly, Dawn, or Tyler - has eaten a ...