The contrapositive of the statement "If I rea | vedclass

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

Question

(C) Let $p$ and $q$ be the statements:$p: 	ext{I reach the station in time.}$$q: 	ext{I will catch the train.}$The given statement is of the form $p

Vedclass · Accepted Answer

If $I$ will not catch the train,then $I$ do not reach the station in time.

Vedclass · Answer

(C) Let $p$ and $q$ be the statements:$p: 	ext{I reach the station in time.}$$q: 	ext{I will catch the train.}$The given statement is of the form $p ightarrow q$.The contrapositive of the implication $p ightarrow q$ is defined as $\sim q ightarrow \sim p$.Here,$\sim q$ is "$I$ will not catch the train" and $\sim p$ is "$I$ do not reach the station in time."Therefore,the contrapositive is: "If $I$ will not catch the train,then $I$ do not reach the station in time."This matches option $C$.

The contrapositive of the statement "If $I$ reach the station in time,then $I$ will catch the train" is

Similar Questions

Which of the following is true?

State whether the "Or" used in the following statement is "exclusive" or "inclusive". Give reasons for your answer.
"Sun rises or Moon sets."

The contrapositive of the statement: "If the weather is fine then my friends will come and we go for a picnic." is

The negation of $p \wedge (q \rightarrow r)$ is

If the truth value of the compound statement $[(p \lor q) \land (q \to r) \land (\sim r)] \to (p \land q)$ is false, then the truth values of $p \to q$ and $q \to p$ are respectively...

Vedclass Test Series

Exam Paper Generator

Online Exam Module