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The negation of  \sim s\, \vee (\sim r\wedge s) is equivalent to :

  • Option 1)

    s\, \wedge \sim r

  • Option 2)

    s\, \wedge (r\wedge \sim s)

  • Option 3)

    s\, \vee (r\, \vee \sim s)

  • Option 4)

    s\, \wedge r

 

Answers (6)

best_answer

As we learnt in

Truth Table of 'AND' operator -

Figure 1

-

 

 

Truth table of 'OR' operator -

-

 

 

Truth Table of "NOT" operator -

-

 

 

 

 

r s \sim s \sim r \sim r \wedge s \sim s\vee \left ( \sim r\wedge s \right ) negation of \sim s\vee (\sim r\wedge s)
T T F F F F T
T F T F F T F
F T F T T T F
F F T T F T F

It is same as Truth table of s\wedge r.


Option 1)

s\, \wedge \sim r

This answer is incorrect.

Option 2)

s\, \wedge (r\wedge \sim s)

This answer is incorrect.

Option 3)

s\, \vee (r\, \vee \sim s)

This answer is incorrect.

Option 4)

s\, \wedge r

This answer is correct.

Posted by

prateek

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4

Posted by

divyansh rastogi

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option 4 is correct answer

Posted by

ANUJ KUMAR MISHRA

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3

Posted by

mademonikalyani141

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Answer will be option 4. If u don't understand how the answer will option 4 .. then leave studies and fuck off to any forest and live a healthy and savage life and eat raw flesh!!

Posted by

Anish prabhakar

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3

 

Posted by

Tarun

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