The contrapositive of the following statement, "If the side of a square doubles, then its area increases four times", is
The contrapositive of the following statement, "If the side of a square doubles, then its area increases four times", is
- [JEE MAIN 2016]
- A
If the area of a square increases four times, then its side is not doubled.
- B
If the area of a square increases four times, then its side is doubled
- C
If the area of a square does not increases four times, then its side is not doubled
- D
If the side of a square is not doubled, then its area does not increase four times
Similar Questions
The statement $p \to ( q \to p)$ is equivalent to
The statement $p \to ( q \to p)$ is equivalent to
- [JEE MAIN 2013]
$(p\; \wedge \sim q) \wedge (\sim p \vee q)$ is
$(p\; \wedge \sim q) \wedge (\sim p \vee q)$ is
For the statements $p$ and $q$, consider the following compound statements :
$(a)$ $(\sim q \wedge( p \rightarrow q )) \rightarrow \sim p$
$(b)$ $((p \vee q) \wedge \sim p) \rightarrow q$
Then which of the following statements is correct?
For the statements $p$ and $q$, consider the following compound statements :
$(a)$ $(\sim q \wedge( p \rightarrow q )) \rightarrow \sim p$
$(b)$ $((p \vee q) \wedge \sim p) \rightarrow q$
Then which of the following statements is correct?
- [JEE MAIN 2021]
Consider the statement : "For an integer $n$, if $n ^{3}-1$ is even, then $n$ is odd." The contrapositive statement of this statement is
Consider the statement : "For an integer $n$, if $n ^{3}-1$ is even, then $n$ is odd." The contrapositive statement of this statement is
- [JEE MAIN 2020]
Statement $\left( {p \wedge q} \right) \to \left( {p \vee q} \right)$ is
Statement $\left( {p \wedge q} \right) \to \left( {p \vee q} \right)$ is