(B) The contrapositive of a conditional statement $p \to q$ is defined as $\sim q \to \sim p$.Let $p$ be the statement: "You are born in India."Let $q

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If you are not a citizen of India,then you are not born in India.

(B) The contrapositive of a conditional statement $p \to q$ is defined as $\sim q \to \sim p$.Let $p$ be the statement: "You are born in India."Let $q$ be the statement: "You are a citizen of India."The given statement is $p \to q$.The contrapositive is $\sim q \to \sim p$,which translates to: "If you are not a citizen of India,then you are not born in India."Therefore,the correct option is $B$.

Class 11 Mathematics Mathematical Reasoning Mathematical logic

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The contrapositive of the statement "If you are born in India,then you are a citizen of India" is:

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A
If you are a citizen of India,then you are born in India.
B
If you are not a citizen of India,then you are not born in India.
C
If you are not 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.

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The contrapositive of the statement "If you are born in India,then you are a citizen of India" is:

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The negation of the conditional statement,"If it rains,$I$ shall go to school" is:

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Consider the following three statements:$P: 5$ is a prime number.$Q: 7$ is a factor of $192$.$R: \text{L.C.M. of } 5 \text{ and } 7 \text{ is } 35$.Then,the truth value of which one of the following statements is true?

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Consider the following three statements:
$P: 5$ is a prime number.
$Q: 7$ is a factor of $192$.
$R: \text{L.C.M. of } 5 \text{ and } 7 \text{ is } 35$.
Then,the truth value of which one of the following statements is true?