Sundar runs 20 m towards East and turns to right and runs 10 m. Then he turns…

2022

Sundar runs 20 m towards East and turns to right and runs 10 m. Then he turns to the right and runs 9 m. Again he turns to right and runs 5 m. After this he turns to left and runs 12 m and finally he turns to right and runs 6 m. Now to which direction is Sundar facing?

  1. A.

    North

  2. B.

    West

  3. C.

    East

  4. D.

    South

Attempted by 3 students.

Show answer & explanation

Correct answer: A

Concept

In a direction-sense problem, only the sequence of turns determines the final facing — the distances walked are irrelevant to the direction you end up looking. Use a fixed compass cycle: a RIGHT turn rotates you clockwise (North -> East -> South -> West -> North), and a LEFT turn rotates you counter-clockwise (North -> West -> South -> East -> North).

Application

Sundar first runs towards East, so he begins facing East. Apply each turn in order, ignoring the distances:

  1. Facing East; turns RIGHT -> now facing South.

  2. Turns RIGHT -> now facing West.

  3. Turns RIGHT -> now facing North.

  4. Turns LEFT -> now facing West.

  5. Turns RIGHT -> now facing North.

After the last turn he is facing North.

Cross-check

Three consecutive RIGHT turns from East (East -> South -> West -> North) bring him to North; the next LEFT turn takes him back to West, and the final RIGHT turn returns him to North. The two opposite turns (left then right) cancel, confirming the result: North.

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