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Question

Direction: Study the following information to answer the given questions:

Point P is 3m towards south of point Q who is 4m towards east of point R. Point S is 6m towards south of point R while point T is 8m towards west of point S. Point V is 7m towards west of point U who is 3m north of point T.

If a person walks 3m towards the North from point V, takes a right turn and walks for another 15m, which of the following points would he reach?

This question was previously asked in
RBI Assistant Prelims Memory Based Paper (27 March 2022) (Shift 2)
The correct answer is

R

This question tests our ability to follow directions and determine the final location after a series of movements. We need to map out the positions of the points based on the given information and then trace the path starting from point V.

Establishing Point Coordinates

Let's set up a coordinate system to easily track the positions. We can assume point R is at the origin, which is (0, 0).

  • Point R: Located at the origin (0, 0).
  • Point Q: 4m towards the east of R. East corresponds to the positive x-axis. So, Q is at (0 + 4, 0) = (4, 0).
  • Point P: 3m towards the south of Q. South corresponds to the negative y-axis. So, P is at (4, 0 - 3) = (4, -3).
  • Point S: 6m towards the south of R. So, S is at (0, 0 - 6) = (0, -6).
  • Point T: 8m towards the west of S. West corresponds to the negative x-axis. So, T is at (0 - 8, -6) = (-8, -6).
  • Point U: 3m north of T. North corresponds to the positive y-axis. So, U is at (-8, -6 + 3) = (-8, -3).
  • Point V: 7m towards the west of U. So, V is at (-8 - 7, -3) = (-15, -3).

So, the coordinates are:

  • R: (0, 0)
  • Q: (4, 0)
  • P: (4, -3)
  • S: (0, -6)
  • T: (-8, -6)
  • U: (-8, -3)
  • V: (-15, -3)

Tracing the Path from Point V

Now, let's follow the movements described in the question, starting from point V.

  1. Starting Point: The person starts at point V, which has coordinates (-15, -3).
  2. First Movement: The person walks 3m towards the North. Moving North increases the y-coordinate.
    • New position = (-15, -3 + 3) = (-15, 0). Let's call this intermediate point W.
  3. Direction Change: At point W (-15, 0), the person was moving North. They take a right turn. A right turn from North means they are now facing East.
  4. Second Movement: The person walks for another 15m in the East direction. Moving East increases the x-coordinate.
    • Final position = (-15 + 15, 0) = (0, 0).

Identifying the Final Point

The final calculated coordinates are (0, 0). Comparing this with the coordinates of the established points, we see that (0, 0) is the location of point R.

Therefore, the person would reach point R.

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Similar Questions

  1. What is the direction of U with respect to P?

  2. What is the shortest distance between R and T?

  3. In which direction is Amit facing at point F?

  4. What is the distance between the starting point and the end point?

  5. In which direction is Amit facing when he reaches point C?

  6. In which direction is point D with respect to point F?


Important Questions from Direction and Distance

  1. What is the direction of U with respect to P?

  2. What is the shortest distance between R and T?

  3. In which direction is Amit facing at point F?

  4. What is the distance between the starting point and the end point?

  5. In which direction is Amit facing when he reaches point C?

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