James and Jonathan are liars, who lie on specific days.

James lies on Fridays, Saturdays and Sundays,

but he is honest on all other days.

Jonathan lies on Tuesdays, Wednesdays and Thursdays,

but he tells the truth on all other days.

### On what day of the week would they both say “Tomorrow, I will lie.”?

Check your answer:-

ExplanationLets say if the person is speaking truth then he must be lie on next day, but if he is lying while saying “Tomorrow i will lie” then he will speak truth on next day.

So they can say the statement only when they change their behavior on next day.

Lets prepare a table for James and Jonathan for all days

James | Jonathan | |

Monday | Truth | Truth |

Tuesday | Truth | Lie |

Wednesday | Truth | Lie |

Thursday | Truth | Lie |

Friday | Lie | Truth |

Saturday | Lie | Truth |

Sunday | Lie | Truth |

From above table

James can say the statement on Thursday and Sunday

and Jonathan can say it on Monday and Thursday.

As both of them say the statement on same day, so it must be Thursday only.

Ashutosh Ranjan says

Thursday

Because on thursday james will tell truth that he will lie on friday . whereas jonathan will lie as he lie on thurs.

honey says

how

Praveen Kumar says

On thursday , both can say the statement and there will be no contradiction. Try that.

nawabi_gabru says

thursday

Arvind Kale says

Thursday

Kunal Shrivastav says

Thursday