discrete review

Which of the following is a well written proposition

• A → (B ∧ C)

• A¬B

• ¬(A → (B = A))

• A&B

¬(Av¬B) is logically equivalent to

• A→ B       

• ¬A  ∧ ¬B       

• ¬A  ∧ B 

• A ∨ ¬ B       

Which of the following statement is a proposition?

• What is the answer?

• x = 2

• 1 < x < 5

• 1+1=2

Let P: I am in Delhi. , Q: Delhi is clean. ; then ¬Q ^ P is:

• Delhi is clean and I am in Delhi  

• Delhi is not clean and I am in Delhi

• I am in Delhi or Delhi is not clean

• Delhi is clean but I am in Mumbai

Which of the following represents an Existential Quantifier?

• Everyone in the class is present

• Some students in the class are absent.

• No one in the class is absent today.

• All got the correct answer

The connective use for Universal Quantifier is ______

• Conjunction

• Disjunction

• Implication

• Equivalence

TRUE and FALSE is ______

• True

• False

Which of the following is correct?

• P ∧ P ≡ 0

• ¬P ∧ P ≡ 0     

• ¬P v P ≡ 0     

• P v P ≡ 1

P v 1 = _______

• 1

• 0

• P

• ¬P

Which of the following is correct?

• (P v Q) ≡ ¬P ∨ ¬Q  

• (P → Q) ≡ (Q → P)

• ¬P ∧ P ≡ 1     

• P ^ (Q ∨ R) ≡ (P ^ Q) ∨ (P ^ R)