Mohan rsquo s house faces south He steps out of his house and goes straight for 30 m From there he t...........

Logical Reasoning (CPO) Direction Sense

Mohan’s house faces south. He steps out of his house and goes straight for 30 m. From there, he takes two successive right

turns and covers a distance of 6 m and 24 m, respectively. Finally, he takes a left turn and walks a distance of 2 m to reach a

grocery shop. What is the shortest distance between his house and the grocery shop?

This questions was previously asked in

SSC CPO 11th Nov 2022 Shift 1

12 m

6 m

8 m

10 m

- Mohan's house faces south. So, when he steps out, he goes in the south direction.

- He walks straight for 30 meters south.

- He then turns right, which means he turns towards the west, and walks 6 meters.

- He takes another right, heading north, and continues for 24 meters.

- Finally, taking a left means he turns towards the west again, walking 2 meters to reach the grocery shop.

- To find the shortest distance back to his house, we can consider the movements in a right-angle triangle context.

- The two effective displacements after his turnings are: 30 - 24 = 6 meters north-south and 6 + 2 = 8 meters east-west.

- The shortest distance is the hypotenuse of this right triangle: v(6² + 8²) = v(36 + 64) = v100 = 10 meters.

- Option 4 - 10 meters is the correct answer.

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