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

2023

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 M # N $ T, T is in which direction with respect to M?

  1. A.

    North-West

  2. B.

    North-East

  3. C.

    South-West

  4. D.

    South-East

Show answer & explanation

Correct answer: B

Concept: Each symbol in this code defines one unit displacement along a compass axis — "#" = 1 m East, "*" = 1 m West, "$" = 1 m North, "@" = 1 m South. To find the net direction between any two points in a chain, add up the East-West and North-South displacements separately, then read the resulting direction from the sign of each component.

Application

  1. Place M at the origin, with East-West as the horizontal axis and North-South as the vertical axis.

  2. M # N: N lies 1 m East of M.

  3. N $ T: T lies 1 m North of N — so, relative to M, T is displaced 1 m East and 1 m North overall.

Cross-check:

Since T's horizontal displacement from M is Eastward (positive) and its vertical displacement is Northward (positive), both components point away from M into the same quadrant — the North-East direction.

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