Logical Reasoning

Directions

Medium

Reena drives 10 km towards North, then turns to her right to travel 20 km. She again turns right and moves 7 km before travelling 15 km to her right. From that point she takes a left turn and goes on for 3km and ends the journey. What is the distance between the starting point and the end point?

3 km

5 km

30 km

15 km

✅ Correct Option: 2

Let the starting point be at the origin (0, 0) with Reena initially facing North.

Starting position: (0, 0), facing North

Drives 10 km towards North:

New position: (0, 10)

Still facing: North

Turns right and travels 20 km:

Right turn from North → facing East

New position: (0 + 20, 10) = (20, 10)

Now facing: East

Turns right and moves 7 km:

Right turn from East → facing South

New position: (20, 10 - 7) = (20, 3)

Now facing: South

Travels 15 km to her right:

Right turn from South → facing West

New position: (20 - 15, 3) = (5, 3)

Now facing: West

Takes a left turn and goes 3 km:

Left turn from West → facing South

New position: (5, 3 - 3) = (5, 0)

Final position: (5, 0)

The distance between starting point (0, 0) and end point (5, 0) is:

Distance $= \sqrt{(5-0)^2 + (0-0)^2}$

Distance $= \sqrt{25 + 0}$

Distance $= \sqrt{25}$

Distance $= 5$ km

Therefore, the distance between the starting point and the end point is 5 km.

2023: 19 June Shift 1

Read the following information carefully and answer the given question.

Nine friends A, B, C, D, E, F, G, H and I are sitting around a circle facing the centre. I sits fifth to the right of G. C is not an immediate neighbour of either G or I. B sits between H and E. C sits fourth to left of the E. D sits second to the right of F. H is not an immediate neighbour of I. Which of the following is D's position with respect to B in the anti-clockwise direction starting from B ?

2022: 8 Aug Shift 1

Kiya drives her car 20 km west from her home, then turns left and goes 20 km more, then, she turns right and goes 10 km and then she turns right and goes 15 km, finally she goes 30 km more after turning right again. At what distance is she from the starting point?

2025: 26 May Shift 1

A man is facing towards the west. He then turns 45° clockwise, again turns 180° clockwise and then turns 270° anti-clockwise. In which direction is he facing now?

2023: 7 June Shift 1

Rakesh goes 20 m North, then turns right and walk 25 m, then again turns right and walks 15 m, then again turns right and walks 25 m. How far is he from his original position ?

2025: 30 May Shift 2

A cyclist goes 12 km to the South and then turning West he goes 16 km. Again he turns to his right and goes 15 km. After that, he turns to his right and goes 12 km. How far is he from his starting point?

2023: 21 May Shift 1

A man walks 2 km towards East and then he turns to South and walks 6 km. Again he turns to East and walks 4 km, after this he turns to North and walk 14 km. How far is he from his starting point?

Reena drives 10 km towards North, then turns to her right to travel 20 km. She again turns right and moves 7 km before travelling 15 km to her right. From that point she takes a left turn and goes on for 3km and ends the journey. What is the distance between the starting point and the end point?

Solution

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