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Question : Directions: Starting from point X, a person walked 20 m towards the South to reach point Y. From there, he took a left turn and walked 25 m to reach point Z. He then took a left turn and walked for another 20 m to reach point P. What is the approximate shortest distance between the points X and Z and in which direction is the person's final position with respect to point X?

Option 1: 50 m, South East

Option 2: 36 m, South East

Option 3: 32 m, East

Option 4: 46 m, North West


Team Careers360 13th Jan, 2024
Answer (1)
Team Careers360 16th Jan, 2024

Correct Answer: 32 m, East


Solution : Firstly, we will draw the diagram as per the given instructions –


Now​​​​​, we have to find the approximate shortest distance between points X and Z and in which direction is the person's final position with respect to point X.

Here, X is the starting point Z is the endpoint, and the shortest distance between points X and Z = d
Using Pythagoras theorem, we have
⇒ (d) 2 = (20) 2 + (25) 2
⇒ (d) 2 = 400 + 625
⇒ (d) 2 = 1025
⇒ d = 32.01 ~ 32

From the above diagram, the endpoint (P) is in the east direction from the starting point (X) and the shortest distance between points X and Z is 32m. Hence, the fourth option is correct.

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