XCI204 - DISCRETE MATHEMATICS Unit 2

¬ (p ∨ q) ∧ (p ∧ q) is a ___________

In a conditional statement, the first part is the antecedent and the second part is the _________

• Predicate

• Consequent

• Subject

• Disjunct

A compound proposition that is neither a tautology nor a contradiction is called a ___________

• Inference

• Contingency

• Equivalence

• Condition

The symbolization for a conjunction is _______________

• p→q

• p↔q

• p∧q

• ¬p

In a disjunction, even if one of the statements is false, the whole disjunction is still_________

• False

• Negated

• True

• Both true and false

Let P: I am in Bangalore.; Q: I love cricket.; then q -> p (q implies p) is____________

• If I love cricket then I am in Bangalore

• If I am in Bangalore then I love cricket

• I am not in Bangalore

• I love cricket

Let P: I am in Delhi.; Q: Delhi is clean.; then q ∧p (q and p) is______________

• Delhi is clean and I am in Delhi

• Delhi is not clean or I am in Delhi

• I am in Delhi and Delhi is not clean

• Delhi is clean but I am in Mumbai

Which of the following statement is a proposition?

• Get me a glass of milkshake

• God bless you!

• What is the time now?

• The only odd prime number is 2

p → (p ∨ q) is a________

• Tautology

• Contingency

• Contradiction

• Equivalence

The inverse of p → q is the proposition of ___________

• ¬p → ¬q

• ¬q → ¬p

• q → p

• ¬q → p