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Deduce row order from logic clues

Last updated: Mar 29, 2026

Quick Overview

This question evaluates logical deduction, constraint satisfaction, and basic combinatorial reasoning used to infer ordering from positional clues. Commonly asked to assess a candidate's ability to apply discrete math and spatial reasoning within the Statistics & Math domain, it targets conceptual understanding of constraints rather than practical implementation.

  • easy
  • MathWorks
  • Statistics & Math
  • Software Engineer

Deduce row order from logic clues

Company: MathWorks

Role: Software Engineer

Category: Statistics & Math

Difficulty: easy

Interview Round: Take-home Project

Four coworkers—A, B, C, and D—are standing in a single row facing north. The following clues hold: ( 1) A is somewhere to the left of C. ( 2) B is not at either end. ( 3) D stands next to exactly one of A or C. ( 4) There is exactly one person between A and B. Determine the exact order from left to right and explain your deduction steps.

Quick Answer: This question evaluates logical deduction, constraint satisfaction, and basic combinatorial reasoning used to infer ordering from positional clues. Commonly asked to assess a candidate's ability to apply discrete math and spatial reasoning within the Statistics & Math domain, it targets conceptual understanding of constraints rather than practical implementation.

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MathWorks logo
MathWorks
Aug 10, 2025, 12:00 AM
Software Engineer
Take-home Project
Statistics & Math
2
0

Logic Ordering Puzzle: Four Coworkers in a Row

Context

Four coworkers—A, B, C, and D—are standing in a single row, left to right, facing north. Positions are from left (position 1) to right (position 4).

Clues

  1. A is somewhere to the left of C.
  2. B is not at either end.
  3. D stands next to exactly one of A or C (but not both).
  4. There is exactly one person between A and B.

Determine the exact left-to-right order and explain your deduction steps.

Solution

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