What is the shortest distance between the mall and the bus stand ........

Logical Reasoning(SBI-PO) Direction Sense

Two friends A and B are playing in a park. After some time, A went to his home and B went to his office. A walked 8m towards North from the park and turned right and walked for 8m then took a right turn and walked for 8m to reach the mall then started walking in the north-east direction and covered a distance of 13m then started walking in the South direction and covered a distance of 12m to reach the Bus stand and finally turned left and walked for 6m to reach home. B walked 2m towards the east from the park and turned left and walked 6 m then turned right and walked 2 m. He then turned right and walked 9m and turned left and walked 2 m and again turned right and walked 2 m and finally turned left and walked 2 m to reach office.

What is the shortest distance between the mall and the bus stand?

This questions was previously asked in

SBI PO Prelims

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Explanation:

- Let's analyze the path taken by A:

- A walked 8m north, then 8m east after a right turn, and finally 8m south after another right turn, reaching the mall.

- From the mall, A walked 13m northeast. This makes a right-angled triangle with the mall and his northeast point, with both legs being 8m (since this is a 45-degree angle on each side of the northeast diagonal).

- He then moved 12m south to reach the bus stand.

- The final part of the travel is a series of 6m westward to reach home.

- The shortest path between the mall and the bus stand:

- A's path directly connects within a right triangle: 13m northeast to 12m south.

- By the Pythagorean theorem: the direct or shortest distance between these points is 5m (since one leg is 12m south and the hypotenuse will be resolved via 5m).

- The shortest distance is 5m.