Each of the following questions is based on the following information: A # B…

2024

Each of the following questions is based on the following information: A # B means B is at 1 metre to the right of A. A $ B means B is at 1 metre to the North of A. A * B means B is at 1 metre to the left of A. A @ B means B is at 1 metre to the south of A. In each question the first person from the left is facing the North. According to X @ B * P, P is in which direction with respect to X?

  1. A.

    North

  2. B.

    South

  3. C.

    North-East

  4. D.

    South-West

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Correct answer: D

In a direction-coding problem, each symbol is a fixed instruction that moves the next person one unit along a map direction. Resolve a chain by applying the symbols in order, treating the map as a grid where North is up, South is down, East is right and West is left for a person facing North. The final direction is read from the first person to the last.

  1. "X @ B": the "@" symbol means 1 metre to the south, so B is placed 1 metre directly south of X.

  2. "B * P": the "*" symbol means 1 metre to the left; for a person facing North, left is West, so P is placed 1 metre west of B.

  3. Combine the two moves from X: 1 metre south, then 1 metre west.

A point that is both south and west of the start lies in the south-west quadrant, on the diagonal between due-south and due-west. So P is south-west of X.

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