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What difficulty level is this interview question?

This is a easy difficulty Statistics & Math question, commonly asked during Technical Screen rounds at SIG (Susquehanna).

What role is this question designed for?

This question is commonly asked for Data Scientist candidates at SIG (Susquehanna) during technical interviews.

Determine knights and knaves roles | SIG (Susquehanna) Interview Question

Quick Overview

This interview question evaluates statistical assumptions, formulas, estimation strategy, uncertainty, edge cases, and interpretation in a realistic interview setting. A strong answer for Determine knights and knaves roles states assumptions, handles edge cases, explains trade-offs, and shows how to validate the result clearly.

Determine knights and knaves roles

Knights and Knaves Logic Puzzle

Context

On an island, each person is either:

Knight: always tells the truth.
Knave: always lies.

You meet two people, A and B. B says to A: “You always lie.”

Task

Evaluate the logical consistency of each possible assignment of roles to A and B:

(a) A is Knave; B is Knight (b) A is Knight; B is Knave (c) A is Knave; B is Knave (d) A is Knight; B is Knight

Determine which assignment(s) are logically consistent and explain why.

Constraints & Assumptions

Preserve the scope, facts, inputs, and requested outputs from the prompt above.
If the prompt leaves a detail unspecified, state a reasonable assumption before relying on it.
Keep the answer interview-ready: concise enough to present, but concrete enough to implement or evaluate.

Clarifying Questions to Ask Guidance

Clarify the random variables, distributional assumptions, independence assumptions, and desired output.
Show enough derivation for the interviewer to follow the reasoning.
Explain how you would validate the result with simulation or sensitivity checks.

What a Strong Answer Covers Guidance

A correct setup with definitions, formulas, and boundary conditions.
A step-by-step derivation or estimation plan.
Interpretation of the result, including uncertainty and practical limitations.
Checks for assumptions, edge cases, and numerical stability.

Follow-up Questions Guidance

How would the result change if the assumptions were relaxed?
Can you verify the answer with a simulation?
What is the most likely source of estimation error?

Quick Overview

Task

Evaluate the logical consistency of each possible assignment of roles to A and B:

(a) A is Knave; B is Knight (b) A is Knight; B is Knave (c) A is Knave; B is Knave (d) A is Knight; B is Knight

Determine which assignment(s) are logically consistent and explain why.

Constraints & Assumptions

Preserve the scope, facts, inputs, and requested outputs from the prompt above.

If the prompt leaves a detail unspecified, state a reasonable assumption before relying on it.

Keep the answer interview-ready: concise enough to present, but concrete enough to implement or evaluate.

Clarifying Questions to Ask Guidance

Clarify the random variables, distributional assumptions, independence assumptions, and desired output.

Show enough derivation for the interviewer to follow the reasoning.

Explain how you would validate the result with simulation or sensitivity checks.

What a Strong Answer Covers Guidance

A correct setup with definitions, formulas, and boundary conditions.

A step-by-step derivation or estimation plan.

Interpretation of the result, including uncertainty and practical limitations.

Checks for assumptions, edge cases, and numerical stability.

Follow-up Questions Guidance

How would the result change if the assumptions were relaxed?

Can you verify the answer with a simulation?

What is the most likely source of estimation error?

Determine knights and knaves roles

Quick Overview

Determine knights and knaves roles

Determine knights and knaves roles

Knights and Knaves Logic Puzzle

Context

Task

Constraints & Assumptions

Clarifying Questions to Ask Guidance

What a Strong Answer Covers Guidance

Follow-up Questions Guidance

Write your answer

Determine knights and knaves roles

Quick Overview

Determine knights and knaves roles

Determine knights and knaves roles

Knights and Knaves Logic Puzzle

Context

Task

Constraints & Assumptions

Clarifying Questions to Ask Guidance

What a Strong Answer Covers Guidance

Follow-up Questions Guidance

Write your answer