Question : Directions: Rahul travels 10 km towards the East, then he takes a left turn and travels 3 km. He then takes the right turn and travels 5 km, he again takes the right turn and travels 8 km and finally takes the right turn one more time and travels 3 km. How far is he from his starting point and in which direction?
Option 1: 12 km towards South-East
Option 2: 13 km towards North-West
Option 3: 12 km towards North-West
Option 4: 13 km towards South-East
Correct Answer: 13 km towards South-East
Solution : Firstly, we will draw the diagram as per the given instructions –
From the above diagram, it is clear that Rahul is in the South-East direction from his starting point.
For the shortest distance (AB) between the starting point and the endpoint, use Pythagoras theorem,
⇒ (AC)
2
+ (BC)
2
= (AB)
2
⇒ (12)
2
+ (5)
2
= (AB)
2
⇒ 144 + 25 = (AB)
2
⇒ (AB)
2
= 169
⇒ AB = 13 km
Thus, Rahul is towards the South-East direction and 13 km away from the starting point. Hence, the fourth option is correct.
Related Questions
Know More about
Staff Selection Commission Sub Inspector ...
Result | Eligibility | Application | Selection Process | Cutoff | Admit Card | Preparation Tips
Get Updates Brochure
Your Staff Selection Commission Sub Inspector Exam brochure has been successfully mailed to your registered email id “”.
