Classical

Mathematical Logic - Mathematical Logic

1:  

Which of the following propositions is tautology?

A.

(p v q)→q

B.

p v (q→p)

C.

p v (p→q)

D.

Both (b) & (c)

 
 

Option: C

Explanation :

A tautology is a statement that is always true.

q

p

qp

pq

p v (pq)

p v (qp)

T

T

T

T

T

T

T

F

F

T

T

F

F

T

T

F

T

T

F

F

T

T

T

T

 


2:   Which of the proposition is p^ (~ p v q) is
A. A tautulogy
B. A contradiction
C. Logically equivalent to p ^ q
D. All of above
 
 

Option: C

Explanation :


3:   Which of the following is/are tautology?
A. a v b → b ^ c
B. a ^ b → b v c
C. a v b → (b → c)
D. None of these
 
 

Option: B

Explanation :


4:   Logical expression ( A^ B) → ( C' ^ A) → ( A ≡ 1) is
A. Contradiction
B. Valid
C. Well-formed formula
D. None of these
 
 

Option: D

Explanation :

'>
5:   Identify the valid conclusion from the premises Pv Q, Q → R, P → M, ˥M
A. P ^ (R v R)
B. P ^ (P ^ R)
C. R ^ (P v Q)
D. Q ^ (P v R)
 
 

Option: D

Explanation :




Suggest an improvement

 


Syllabus covered in this section is-

  • Propositional Logic
  • First Order Logic
  • Well-formed-formulae (WFFL)
  • Satisfiability and Tautology

This Section covers Mathematical Logic Questions Answers

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