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Mathematical Reasoning
medium
The contrapositive of the statement "If I reach the station in time, then I will catch the train" is
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.
(JEE MAIN-2020)
Solution
Let $p$ denotes statement
$\mathrm{p}:$ I reach the station in time.
$\mathrm{q}: \mathrm{I}$ will catch the train.
Contrapositive of $\mathrm{p} \rightarrow \mathrm{q}$
is $\sim \mathrm{q} \rightarrow \sim \mathrm{p}$
$\sim \mathrm{q} \rightarrow \sim \mathrm{p}: \mathrm{I}$ will not catch the train, then I do not reach the station in time.
Standard 11
Mathematics
