Consider the following three statements:(A) I | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) In logic,a conditional statement $P \rightarrow Q$ is false only when $P$ is true and $Q$ is false. Otherwise,it is true.Statement $(A)$: $P: 3+3=

Vedclass · Accepted Answer

$(A)$ and $(C)$ are true while $(B)$ is false

Vedclass · Answer

(A) In logic,a conditional statement $P ightarrow Q$ is false only when $P$ is true and $Q$ is false. Otherwise,it is true.Statement $(A)$: $P: 3+3=7$ (False),$Q: 4+3=8$ (False). Since $P$ is false,$P ightarrow Q$ is True.Statement $(B)$: $P: 5+3=8$ (True),$Q: 	ext{earth is flat}$ (False). Since $P$ is true and $Q$ is false,$P ightarrow Q$ is False.Statement $(C)$: $P: (A) 	ext{ is true and } (B) 	ext{ is true}$ (False,because $(B)$ is false),$Q: 5+6=17$ (False). Since $P$ is false,$P ightarrow Q$ is True.Thus,$(A)$ is true,$(B)$ is false,and $(C)$ is true.

Consider the following three statements:
$(A)$ If $3+3=7$ then $4+3=8$.
$(B)$ If $5+3=8$ then earth is flat.
$(C)$ If both $(A)$ and $(B)$ are true then $5+6=17$.
Which of the following statements is correct?

Similar Questions

The contrapositive of the statement,"If the side of a square doubles,then its area increases four times",is

The dual of the statement $[p \vee (\sim q)] \wedge (\sim p)$ is

The negation of the inverse of $\sim p \rightarrow q$ is

If $c$ denotes the contradiction,then the dual of the compound statement $\sim p \wedge (q \vee c)$ is:

The following statement $(p \to q) \to [(\sim p \to q) \to q]$ is

Vedclass Test Series

Exam Paper Generator

Online Exam Module

Consider the following three statements:$(A)$ If $3+3=7$ then $4+3=8$.$(B)$ If $5+3=8$ then earth is flat.$(C)$ If both $(A)$ and $(B)$ are true then $5+6=17$.Which of the following statements is correct?