The contrapositive of the statement "If I reach the station in time, then I will catch the train" is
The contrapositive of the statement "If I reach the station in time, then I will catch the train" is
- [JEE MAIN 2020]
- A
If I will catch the train, then I reach the station in time.
- B
If I do not reach the station in time, then I will not catch the train.
- C
If I will not catch the train, then I do not reach the station in time.
- D
If I do not reach the station in time, then I will catch the train.
Similar Questions
Consider the following two statements :
$P :$ lf $7$ is an odd number, then $7$ is divisible by $2.$
$Q :$ If $7$ is a prime number, then $7$ is an odd number.
lf $V_1$ is the truth value of the contrapositive of $P$ and $V_2$ is the truth value of contrapositive of $Q,$ then the ordered pair $(V_1, V_2)$ equals
Consider the following two statements :
$P :$ lf $7$ is an odd number, then $7$ is divisible by $2.$
$Q :$ If $7$ is a prime number, then $7$ is an odd number.
lf $V_1$ is the truth value of the contrapositive of $P$ and $V_2$ is the truth value of contrapositive of $Q,$ then the ordered pair $(V_1, V_2)$ equals
- [JEE MAIN 2016]
If the Boolean expression $( p \Rightarrow q ) \Leftrightarrow( q *(\sim p ))$ is a tautology, then the Boolean expression $p *(\sim q )$ is equivalent to
If the Boolean expression $( p \Rightarrow q ) \Leftrightarrow( q *(\sim p ))$ is a tautology, then the Boolean expression $p *(\sim q )$ is equivalent to
- [JEE MAIN 2021]
Negation of the Boolean expression $p \Leftrightarrow( q \Rightarrow p )$ is.
Negation of the Boolean expression $p \Leftrightarrow( q \Rightarrow p )$ is.
- [JEE MAIN 2022]
$\sim (p \vee q)$ is equal to
$\sim (p \vee q)$ is equal to
The number of values of $r \in\{p, q, \sim p , \sim q \}$ for which $((p \wedge q) \Rightarrow(r \vee q)) \wedge((p \wedge r) \Rightarrow q)$ is a tautology, is:
The number of values of $r \in\{p, q, \sim p , \sim q \}$ for which $((p \wedge q) \Rightarrow(r \vee q)) \wedge((p \wedge r) \Rightarrow q)$ is a tautology, is:
- [JEE MAIN 2023]