UGC NET CSE | July 2018 | Part 2 | Question: 76

Question

Consider the following statements:

1. False $\models$ True
2. If $\alpha \models (\beta \wedge \gamma \text{ then } \alpha \models \gamma$

Which of the following is correct with respect to above statements?

• A. Both statement a and statement b are false
• B. Statement a is true and statement b is false
• C. Statement a is false and statement b is true
• D. Both statement a and statement b are true

Comments

if the given symbol represent implication, then both statements are true

---

given symbol is logically implies which seems inappropriate here , it may be implication then 4 is right one

Answer 1

A |=B If and only if the sentence A=>B is valid

 

False |=True:::    False => True , always true

 

if A|=(B and Y) then A|=Y:::     (A=>(B and Y)) => (A=>Y) by constructing truth table you will find out that it is tautology, always true

 

Answer should be D

https://www.ics.uci.edu/~welling/teaching/271fall09/HW6_sol.pdf

 

 

Answer 2

Both statements are true so correct answer is (4).

 

Answer 3

option d is correct.