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Determine roles from B's accusation

Last updated: Mar 29, 2026

Quick 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.

  • easy
  • SIG (Susquehanna)
  • Statistics & Math
  • Data Scientist

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

Quick Answer: 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.

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SIG (Susquehanna) logo
SIG (Susquehanna)
Sep 6, 2025, 12:00 AM
Data Scientist
Technical Screen
Statistics & Math
4
0

Knights and Knaves: Single Statement Inference

You meet two islanders, A and B. Each person is either a knight (always tells the truth) or a knave (always lies). B says to A: “You always lie.”

Based solely on this statement, which of the following role assignments are 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

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