Question Details

Study the following information carefully and answer the given questions:
A boy who is facing north walks 5 m towards his left from point A and reaches at point B. Now he walks 8 m south direction and reaches at point

What is the shortest distance between his starting point and ending point?

C. From point C he takes three consecutive right turns 2 m, 4 m and 7 m respectively and reaches at point G. From point G he takes his right turn and reaches at point H after cover 4 m.

Options

A

5 m

B

8 m

C

7 m

D

6 m

Show Answer

Correct Answer :

Option B

8 m

Solution :

The correct option is 8 m.


Step-by-Step Explanation:

Let us trace the path of the boy starting from point A step-by-step:

1. Start at Point A:
The boy is initially facing North at point A. Let the coordinates of point A be (0,0).

2. Movement to Point B:
He turns to his left from North, which means he moves West by 5 m to reach point B.
Position of B: (-5,0).

3. Movement to Point C:
From B, he walks 8 m in the South direction to reach point C.
Position of C: (-5,-8).

4. Three Consecutive Right Turns:
- Facing South at point C, a right turn means moving West. He moves 2 m West to point D.
Position of D: (-7,-8).
- Facing West at point D, a right turn means moving North. He moves 4 m North to point E.
Position of E: (-7,-4).
- Facing North at point E, a right turn means moving East. He moves 7 m East to point G.
Position of G: (0,-4).

5. Movement to Point H (Ending Point):
Facing East at point G, he takes a right turn (which is South) and walks 4 m to reach point H.
Position of H: (0,-8).


Calculating the Shortest Distance between Starting Point (A) and Ending Point (H):

- Starting point A is at (0,0).
- Ending point H is at (0,-8).

The shortest distance is the straight-line distance along the vertical axis:

Distance=|0-(-8)|=8 m


Therefore, the shortest distance between his starting point and ending point is 8 m.

Unlock Our Free Library

Access expert-curated educational resources and study materials—completely free.

Discover more resources

You may also like

Mock Tests

View All
  • SSC
  • intermediate
  • 1 hour
  • english, general awareness, general intelligence and reasoning, logical reasoning, quant

  • SSC
  • intermediate
  • 1 hour
  • english, general awareness, general intelligence and reasoning, logical reasoning, quant

Ask AI Tutor
5 left
Q1 View Question & Options
AI Tutor is solving this question...
Reading question context & options...