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Multiple Choice Questions

What is the shortest distance T needs to travel further in order to reach the initial position of S ...........

Logical Reasoning(SBI-PO) Direction Sense

Directions: Study the following information carefully and answer the questions given below:

Six persons U, T, S, R, Q, and P are standing in a linear row in the same order from left to right. Three of them are facing south. The consecutive distance between any two persons is 8 m. U travels 16m in a certain direction then turns right and travels 34m to reach its final position. Q travels 12 m in a certain direction then turns right and travels 10m meters to reach its final position. S travels 8 m south and then turns left and walks a few meters to reach its final position which is in the north of the final position of Q. R walks 12m in a certain direction and then turns right and walks 10m to reach its final position which is south of final position of U. The final position of P cannot be northeast of final position of Q. T travels 6m in a certain direction and then turns right and travels 6m to reach its final position. P travels 16m in a certain direction then turns right and travels 21 m to reach its final position.

What is the shortest distance T needs to travel further in order to reach the initial position of S?

This questions was previously asked in

SBI PO Mains (30 Jan, 2023)

View All SBIPO Previous Year Papers

√45m

√80m

√35m

√40m

√70m

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Explanation:

- Person Alignment: U, T, S, R, Q, and P stand in a row from left to right. Three face south.

- U's Movement: Travels 16m, turns right, travels 34m.

- Q's Movement: Moves 12m, turns right, goes 10m.

- S's Movement: Travels 8m south, turns left, walks to a position north of Q.

- R's Movement: Walks 12m, turns right, continues 10m, ends south of U.

- P's Restriction: Cannot be northeast of Q.

- T's Movement: Travels 6m, turns right, goes 6m.

- P's Movement: Moves 16m, turns right, travels 21m.

- Shortest Distance to S's Initial Position: We calculate T's and S's positions. From T's final position, the shortest path to S's initial point is calculated using the Pythagorean theorem.

- T's Shortest Distance Calculation:

- T moves perpendicular to initial line and needs to reach where S started.

- Apply Pythagorean to T's route: Distance $= \sqrt{(6)^{2} + (6)^{2}} = \sqrt{72}$ .