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Question

One evening before sunset, two friends Shahrukh and Rakesh were talking to each other face-to-face. If Rakesh’s shadow is exactly to his right side, which direction was Shahrukh facing?

The correct answer is

South

Understanding the Direction Puzzle

This question involves directional reasoning based on the position of the sun and the resulting shadow. We are given a scenario taking place one evening before sunset, where two friends, Shahrukh and Rakesh, are talking face-to-face. We are also told that Rakesh's shadow falls exactly to his right side.

To solve this puzzle, we need to determine the direction of the sun at the given time and then deduce the direction of the shadow. From the shadow's direction and its position relative to Rakesh, we can find out which direction Rakesh was facing. Finally, since Shahrukh and Rakesh were talking face-to-face, we can find the direction Shahrukh was facing.

Sun and Shadow Direction Before Sunset

In the evening, before sunset, the sun is located in the West.

Shadows are always cast in the direction opposite to the sun's position. Therefore, if the sun is in the West, the shadow will fall towards the East.

Time of Day Sun Position Shadow Direction
Morning (after sunrise) East West
Noon (exactly 12 PM) South North (or directly under the object if sun is overhead)
Evening (before sunset) West East

Analysing Rakesh's Shadow and Facing Direction

We know that Rakesh's shadow is exactly to his right side. We also know that the shadow is falling towards the East.

This means that for Rakesh, East is towards his right hand.

Now, let's figure out which direction Rakesh must be facing for East to be on his right:

  • If Rakesh faces North, his right hand points East.
  • If Rakesh faces South, his right hand points West.
  • If Rakesh faces East, his right hand points South.
  • If Rakesh faces West, his right hand points North.

Since East is to Rakesh's right, Rakesh must be facing North.

Determining Shahrukh's Facing Direction

Shahrukh and Rakesh were talking to each other face-to-face.

When two people are talking face-to-face, they are facing in opposite directions.

We determined that Rakesh was facing North.

Therefore, Shahrukh, facing Rakesh, must be facing the opposite direction of North.

The opposite direction of North is South.

Thus, Shahrukh was facing South.

Summary of Steps

  1. Identify sun's position in the evening: West.
  2. Identify shadow direction (opposite the sun): East.
  3. Determine Rakesh's facing direction based on his shadow being to his right (East is to his right means he faces North).
  4. Determine Shahrukh's facing direction (opposite to Rakesh's direction): South.

Revision Table: Directional Facts for Puzzles

Reference Point Relative Direction Facing Direction Implied
East is to your Right You are facing North
East is to your Left You are facing South
West is to your Right You are facing South
West is to your Left You are facing North

Additional Information: Tips for Solving Shadow and Direction Problems

Direction and shadow problems are common in reasoning tests. Here are some tips:

  • Always first determine the position of the sun based on the time of day (morning, noon, evening).
  • Remember that the shadow is always in the direction opposite to the sun.
  • Visualize the person standing and imagine where their left and right hands would point if they were facing a specific direction.
  • If two people are face-to-face, they are facing opposite directions. If they are back-to-back, they are also facing opposite directions. If they are walking next to each other, they are facing the same direction.
  • Practice different scenarios to build your intuition for these types of problems.
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Important Questions from Direction Sense Test

  1. A man moves to the east side, then turns left, then right, and then further turns right again and then moves left. Now, in which direction is the man?

  2. Sunita rode her scooty Northward, then turned left and then again rode to her left 4 km. She found herself exactly 2 km. West to her starting point. How far did she ride Northwards initially?

  3. Pinky walks a distance 600m towards east, turns left moves 500m, then again turns left and walks 600m and then turns left again and moves 500m and halts. At what distance (in meters) is she from the starting point?

  4. A girl is facing north. She turns 90° in the anti-clockwise direction and then 45° in the clockwise direction. Which direction is she facing now?

  5. A boy runs 4 km to East side, then turns right and runs 6 km, and then turns left and runs 8 km. Again turns left to run 3 km, again turns right 4 km, then turns right 1 km. Now the boy is in which direction?

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