Reference :- Who would have thought that so many people couldn't solve Gabbos's riddle ?
Two posts ago we posed this question . You are at an intersection wondering whether to turn left or right to reach your destination . Two sisters are standing at the intersection . One sister always tells lies , and the other always tells the truth . You can ask one sister one question . What do you ask to determine the correct direction ?
And here is the answer . You pick one of the sisters randomly and ask this .
" Will your sister tell me to go to the right ? " .
If the answer is yes , then you must turn left .
The reasoning goes like this . If the sister you asked is the liar , she will have lied when she said the honest sister would tell you to go right . This means the correct direction is to the left .
If the sister you asked is honest , when she says that the other sister would tell you to turn right she is telling the truth about the other sister who is the liar , so you must turn left .
If the answer is no , you must turn right . The same logic applies .
Should you have asked the sister who lies , she will have lied when she said her sister would say no . Which means the honest sister would say turn right .
If the sister you asked is honest she would answer no , because she knows the lying sister will tell you to turn left .
This means you must turn right .
It's pretty obvious now Gabbo has pointed it out .
Parliament question time will never seem as daunting again .
Your comrade, Ken .
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