
Quiz on Logics and Proofs
Quiz
•
Mathematics
•
University
•
Practice Problem
•
Hard
EULER VEC
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40 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
The compound propositions p and q are called logically equivalent if ________ is a tautology.
p ↔ q
p → q
¬ (p ∨ q)
¬ p ∨ ¬ q
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
p → q is logically equivalent to:
¬p ∨ ¬q
p ∨ ¬q
¬p ∨ q
¬p ∧ q
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
p ∨ q is logically equivalent to:
¬q → ¬p
q → p
¬p → ¬q
¬p → q
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
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
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Let P: If Sahil bowls, Saurabh hits a century. , Q: If Rajubowls,Sahil gets out on first ball. Now if P is true and Q is false then which of the following can be true?
Raju bowled and Sahil got out on first ball
Raju did not bowled
Sahil bowled and Saurabh hits a century
Sahil bowled and Saurabh got out
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Let P: We should be honest, Q: We should be dedicated. R: We should be overconfident. Then 'We should be honest or dedicated but not overconfident.' is best represented by:
P V ¬Q V R
(P ∧ ¬Q)∧ R
(P V Q)∧ R
(P V Q)∧ ¬R
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
¬ (p ∨ q) ∧ (p ∧ q) is a ___________
Tautology
Contradiction
Contingency
None of the mentioned
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