The house of Taro, Hanako, Jiro, and Sakura is either A ~ D in the figure below.
4 people said as follows.
Only 3 people are telling the truth.
Which is a house of four people each ?
Taro said "Hanako's house is located due east of mine."
Hanako said "Jiro's house is located due south of mine."
Jiro said "Taro's house is located due west of mine."
Sakura said "Taro's house is located due north of mine."
Answer
Taro : A,
Hanako : B,
Jiro : D,
Sakura : C
Solution
Since it turns out that there is a conflict between the talk of Taro and Jiro, either Taro or Jiro has said the lie.
Thereby Hanako and Sakura have said the truth.
Then it will become
(1) "Houses of Hanako and Jiro are A and C, and houses of Taro and Sakura are B and D"
or
(2) " Houses of Hanako and Jiro are B and D and houses of Taro and Sakura are A and C".
Since based on (1), Taro and Jiro have said a lie, but based on (2), only Jiro has said the lie.
4 people said as follows.
Only 3 people are telling the truth.
Which is a house of four people each ?
Taro said "Hanako's house is located due east of mine."
Hanako said "Jiro's house is located due south of mine."
Jiro said "Taro's house is located due west of mine."
Sakura said "Taro's house is located due north of mine."
Taro : A,
Hanako : B,
Jiro : D,
Sakura : C
Solution
Since it turns out that there is a conflict between the talk of Taro and Jiro, either Taro or Jiro has said the lie.
Thereby Hanako and Sakura have said the truth.
Then it will become
(1) "Houses of Hanako and Jiro are A and C, and houses of Taro and Sakura are B and D"
or
(2) " Houses of Hanako and Jiro are B and D and houses of Taro and Sakura are A and C".
Since based on (1), Taro and Jiro have said a lie, but based on (2), only Jiro has said the lie.
