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 first person from the left is facing 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

Show answer & explanation

Correct answer: D

Concept: In coded-direction puzzles, each symbol defines a fixed 1-metre step in a compass direction, with "right" read as East and "left" read as West for a person facing North, as stated. To locate a later point relative to an earlier one, apply each step in the order the expression is written, then combine the net North-South and East-West displacement into a single compass direction.

Application:

  1. X @ B means B is 1 m to the South of X (the passage defines '@' as a southward step).

  2. B * P means P is 1 m to the left of B - that is, 1 m to the West of B, since the facing direction is North.

  3. Combining the two steps from X: 1 m South and then 1 m West places P diagonally to the South-West of X.

Cross-check: Plotting the three points confirms it: with X at the top, B one step below X, and P one step to the left of B, the straight line from X to P runs down-and-left, matching the South-West diagonal shown in the figure.

Answer: South-West.

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