Direction TestPYQ June 22Question 2212 of 165
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If Ramu faces West and moves 5 km in the direction then takes a left turn and moves 10 km then take another left turn and moves 15 km in same direction then moves 10 km in the north direction and reaches point A. What is the distance between the starting point and A and in which direction is Ramu facing now?

Options

A10 km, North
B5 km, South
C10 km, South
D5 km, North
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Correct Answer

✅ Option a — 10 km, North

All Options:

  • A10 km, North
  • B5 km, South
  • C10 km, South
  • D5 km, North

Detailed Solution & Explanation

Let the starting point be the origin (0,0)\displaystyle (0, 0) on a Cartesian coordinate plane.
1. **First Movement (West)**: Ramu faces West and moves 5\displaystyle 5 km. His coordinates become:
P1=(−5,0)\displaystyle P_1 = (-5, 0)
2. **Second Movement (Left turn / South)**: Facing West, a left turn points South. He moves 10\displaystyle 10 km South. His coordinates become:
P2=(−5,−10)\displaystyle P_2 = (-5, -10)
3. **Third Movement (Left turn / East)**: Facing South, a left turn points East. He moves 15\displaystyle 15 km East. His coordinates become:
P3=(−5+15,−10)=(10,−10)\displaystyle P_3 = (-5 + 15, -10) = (10, -10)
4. **Fourth Movement (North)**: He moves 10\displaystyle 10 km North. His coordinates become:
A=(10,−10+10)=(10,0)\displaystyle A = (10, -10 + 10) = (10, 0)
Since he just moved in the North direction, he is facing North.
5. **Distance Calculation**: The starting point is (0,0)\displaystyle (0, 0) and point A\displaystyle A is (10,0)\displaystyle (10, 0). The distance d\displaystyle d between them is:
d=(10−0)2+(0−0)2=10 km\displaystyle d = \sqrt{(10 - 0)^2 + (0 - 0)^2} = 10\text{ km}

Thus, the distance is 10 km\displaystyle 10\text{ km} and he is facing North.
Hence, **Option A** is the correct answer.

More Questions from Direction Test

A man stands on a point and starts walking towards North then turns left then turns right and then left in which direction he is moving.

Rahim started from point X and walked straight 5\displaystyle 5 km west, then turned left and walked straight 2\displaystyle 2 km, then again turned left and walked straight 7\displaystyle 7 km. In which direction is he from the point X?

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A man is facing North-West. He turns 90° in the clockwise direction, then 180° in the anticlockwise direction and then another 90° in the same direction. Which direction is he facing now?

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At a crossing, there was a direction pole, which was showing all the four correct directions. But due to the wind, it turns in such a manner that now West pointer is showing South. Harish went in the wrong direction thinking that he was travelling East. In which direction he was actually travelling?

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