Practice Questions 3-Mathematical Reasoning-Class XI

Find the Contrapositive of the statement “If i will not see Tajmahal, then i am not going to Agra.”

Express the sentence in propositional logic ” If Dev comes to party, if and only if
Raj comes and Anu doesn’t come.”

Express the sentence in propositional logic ” If Dev comes to party, then if
Raj doesn’t come then Anu comes.”

Find the truth value of \( \sim q \leftrightarrow \left( {P \leftrightarrow q} \right)\)

Find the truth value of \(\left( { \sim P \to q} \right) \leftrightarrow \left( {P\; \cup \sim q} \right)\)

Negation of the proposition
“Tanu is waiting for train”

\({x^2} = 4 \) iff \(x = \pm 2 \)
Write the mathematical statement in correct propositional logic

“If i will buy a car, then i will not buy a plot.”
Find the inverse of the statement

“If Ram will go Mumbai, then he will eat Bada-pav.”
Express the contrapositive of above statement.

The proposition \(\left( {P \cap q} \right) \cup \left( { \sim P \cap \sim q} \right) \) is equivalent to