Determine roles from B's accusation
Company: SIG (Susquehanna)
Role: Data Scientist
Category: Statistics & Math
Difficulty: easy
Interview Round: Technical Screen
On an island where each person is either a knight (always tells the truth) or a knave (always lies), you meet two people, A and B. B says to A: "You always lie." Based solely on this statement, which of the following assignments of roles is logically consistent? Select all that apply and briefly justify your choices:
- A is a knave, B is a knight
- A is a knight, B is a knave
- A is a knave, B is a knave
- A is a knight, B is a knight
- Not enough information to uniquely determine the roles
Overview: This question evaluates logical deduction and propositional reasoning skills by requiring inference about truth-tellers and liars within a knights-and-knaves scenario, testing competency in formal logic and discrete mathematics.