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Mathematical Reasoning
hard
The contrapositive of the statement “If you are born in India, then you are a citizen of India”, is
A
If you are a citizen of India, then you are born in India
B
If your are not a citizen of India, then you are not born in India
C
If you are no born in India, then you are not a citizen of India
D
If you are born in India, then you are not a citizen of India
(JEE MAIN-2019)
Solution
the contrapositive of a statement $p \to q$ is $ \sim q \to \sim p$
Here, $p:$ your are bom in india
$q:$ you are citizen of india
So, contrapositive of above statement is '' If you not acitizen of india, then you are not born in india''.
Standard 11
Mathematics