Practice Questions 1 – Mathematical Reasoning – Class XI

Which of the following is a statement?

The negation of the statement “7 is greater than 3.” is

The connective in the statement “Ram is going to market or school” is

The negation of the statement “24 is divisible by 6 and 8” is

The statement \(p \to \left( {q \to p} \right)\) is equivalence to

The statement \(q \to p \) is equivalence to

The statement \(p \cap \left( {q \cup r} \right) \) is equivalence to

The statement \(\sim\left( {\sim p \cap \sim q } \right)\) is equivalence to

The statement \(\sim \left( {p \cup q } \right) \cup \left( {\sim p \cap q } \right) \) is equivalence to

The negation of \( \sim S \cup \left( {\sim r \cap S} \right)\) is equivalence to

The statement \( \sim\left( {p\ \cap \sim p} \right)\) is

Which of the following is well formed propositional formula ?

Compute the truth table of \( \left( {F \cup G} \right) \cap \left( {\sim F \cap G} \right)\)

Determine the statement \((p \to q ) \cup (p \to \sim q )\) is

Determine the truth value of \((p \cap q ) \to (p \cap \sim q ) \) is

The truth value of \(p \to \left( {q \cap \sim q } \right) \) is equivalence to

Let’s consider a statement
“if paola is happy and paints a picture then Raju is not happy “
Express it in propositional logic.

p: Aldo is Italian.
q: Bob is Dutch.
Then “Aldo is Italian while Bob is Dutch” will be