PracHub
QuestionsPremiumCoachesLearningGuidesInterview Prep
|Home/Statistics & Math/SIG (Susquehanna)

Analyze Knights-and-Knaves Dialogue Variants

Last updated: Mar 29, 2026

Quick Overview

This question evaluates proficiency in formal logical reasoning, truth-functional analysis, and consistency checking within constrained dialogue puzzles (knights-and-knaves), focusing on identifying consistent truth assignments.

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

Analyze Knights-and-Knaves Dialogue Variants

Company: SIG (Susquehanna)

Role: Data Scientist

Category: Statistics & Math

Difficulty: medium

Interview Round: Technical Screen

On an island where every person is either a knight (always tells the truth) or a knave (always lies), you meet two people, A and B. Person B says to A: "You always lie," and then makes one additional claim chosen from exactly one of the following four variants: 1) "A is a knave and B is a knight." 2) "A is a knight and B is a knave." 3) "A is a knave and B is a knave." 4) "A is a knight and B is a knight." For each variant independently, determine the logically consistent identities of A and B (knight or knave), or conclude that the information is insufficient or inconsistent. Show your reasoning.

Quick Answer: This question evaluates proficiency in formal logical reasoning, truth-functional analysis, and consistency checking within constrained dialogue puzzles (knights-and-knaves), focusing on identifying consistent truth assignments.

Related Interview Questions

  • Compute sample sizes and error control - SIG (Susquehanna) (Medium)
  • Determine roles from B's accusation - SIG (Susquehanna) (easy)
  • Infer posterior after losing pick - SIG (Susquehanna) (easy)
  • Determine departure time from travel times - SIG (Susquehanna) (medium)
  • Compute ruin probability with bold betting - SIG (Susquehanna) (medium)
SIG (Susquehanna) logo
SIG (Susquehanna)
Aug 1, 2025, 12:00 AM
Data Scientist
Technical Screen
Statistics & Math
3
0

Knights and Knaves: Two Statements from B

Context

On an island, every person is either a knight (always tells the truth) or a knave (always lies). You meet two people, A and B. Person B makes two statements:

  1. First, B says to A: "You always lie." (i.e., B asserts that A is a knave.)
  2. Then B makes exactly one of the following additional claims:
    1. "A is a knave and B is a knight."
    2. "A is a knight and B is a knave."
    3. "A is a knave and B is a knave."
    4. "A is a knight and B is a knight."

Task

For each variant (1–4) independently, determine the logically consistent identities of A and B (knight or knave), or conclude that the information is insufficient or inconsistent. Show your reasoning.

Solution

Show

Submit Your Answer

Sign in to leave a comment

Loading comments...

Browse More Questions

More Statistics & Math•More SIG (Susquehanna)•More Data Scientist•SIG (Susquehanna) Data Scientist•SIG (Susquehanna) Statistics & Math•Data Scientist Statistics & Math
PracHub

Master your tech interviews with 8,500+ real questions from top companies.

Product

  • Questions
  • Learning Tracks
  • Interview Guides
  • Resources
  • Premium
  • For Universities
  • Student Access

Browse

  • By Company
  • By Role
  • By Category
  • Topic Hubs
  • SQL Questions
  • Compare Platforms
  • Discord Community

Support

  • support@prachub.com
  • (916) 541-4762

Legal

  • Privacy Policy
  • Terms of Service
  • About Us

© 2026 PracHub. All rights reserved.