3 doors a,b,c in a room each door is labelled as "way to freedom","way to death","door b is false"atleast one of the door is true one is false.which door is always true?

• way to freedom
  If we consider c as true, b will be false
  If we consider b as true, c will be false
  But a is always true.
• 11 years agoHelpfull: Yes(14) No(2)
• "way to freedom "is always true
• 11 years agoHelpfull: Yes(13) No(4)
• door b cause it is false...and there is atleast one false door hence b is always true....
  
• 11 years agoHelpfull: Yes(7) No(3)
• its the door C becoz it says that "door b is false" and as per question one is false.
• 11 years agoHelpfull: Yes(5) No(0)
• door a is true
• 11 years agoHelpfull: Yes(3) No(1)
• all the can be false....
  1.assuming a is false=== which means rest one or both sentences will be true...(this means if a is false then "door a is way to death" then automatically sentence b also become false...coz now it will represent "way to freedom"...ok..here sentence c becomes true which says "door b is false" which is indeed false)
  
  2.assume b is false..same reasoning applies as of case 1.
  
  
  3.assume that c is false====(it means door b is true...so no problem..sentence a,b automatically become true..)
  
  
  so we have proved all three doors can be false.....
  
  
  if u find any problems in the above approach..lemme know
• 11 years agoHelpfull: Yes(1) No(5)
• See,if door c is true then "way to death" is false.but if door c is false then "way to death" is true. so we can clearly see that "way to freedom" is always true.
• 11 years agoHelpfull: Yes(0) No(0)
• how can it be door A or C its written they are labelled "way to freedom","way to death" it can be true or false but door b is not labelled its written that it is false......so definitely its always true hence B.
  
• 11 years agoHelpfull: Yes(0) No(0)
• way to freedom
• 11 years agoHelpfull: Yes(0) No(0)
• the door with "door b is false is true
• 11 years agoHelpfull: Yes(0) No(0)
• Given
  a="way to freedom",
  b="way to death",
  c="door b is false"
  
  BY binary logic let a is true
  a=T
  b=F
  c=T
  again same procedure for b is true
  a=F
  b=T
  c=F
  same for c
  a=T or F
  b=F
  c=T
  after seeing truth table u can say door b will be always true
• 11 years agoHelpfull: Yes(0) No(0)
• door c is always true
• 11 years agoHelpfull: Yes(0) No(0)