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Discrete Mathematics | Week 3


Link : Discrete Mathematics Week 3 (

1. Let p: Ram likes ice cream or Sudha likes toffee, Negation of the statement p is?

 a. Ram does not like ice cream and Sudha does not like ice-cream


2. Which of the following statement(s) is/are true?

I. The sentence, “Rajesh is a hardworking man” – is a statement
II. 9 is not a prime number
III. Cardinality of 𝐴 ∪ 𝐵 is 5, where, 𝐴={1,2,3} 𝐵={2,7,8}

 b. I , II and III


3. If A is any statement, then which of the following is a tautology?

 b. A ∨ ¬A


4. “It is not that I don’t like travelling”, said Reena, what does Reena mean?

 a. Reena likes travelling less frequently


5. (p → r) ∨ (q → r) is logically equivalent to

 d.  (p ∧ q) → r


6. (¬p ⊻ q) ∨ ( ¬q ∧¬p) is equivalent to

c. ¬p ⊻ q


7. If the truth value of s is True, where s is ¬((¬q ∧ ¬p) → p) then the truth value of p and q are respectively?

 a.   F , F


8. ¬(p ∨ q) ∨ (¬p ∧ ¬q) is logically equivalent to

 d. ¬p ∧ ¬q


9. What can we infer from the below statement?
q: Gautam will go for a long drive to Mahabaleshwar or he will play cards
r: Gautam did not go to Mahabaleshwar

b. Gautam will play cards


10. If (¬p ¬q) is false then what is the truth value of p and q?

 c. F , T

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