Direction TestMTP June 24 Series IQuestion 2326 of 165
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A child is looking for his father. He went 90\displaystyle 90 meters in the east before turning to his right. He went 20\displaystyle 20 meters before turning to his right again to look for his father at his uncle's place 30\displaystyle 30 meters from this point. His father was not there. From there, he went 100\displaystyle 100 meters to his north before meeting his father in a street. How far did the son meet his father from starting point ?

Options

A80\displaystyle 80 m
B90\displaystyle 90 m
C100\displaystyle 100 m
D110\displaystyle 110 m
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Correct Answer

✅ Option c — 100\displaystyle 100 m

All Options:

  • A80\displaystyle 80 m
  • B90\displaystyle 90 m
  • C100\displaystyle 100 m
  • D110\displaystyle 110 m

Detailed Solution & Explanation

Let starting point be (0,0)\displaystyle (0,0).
- Walks 90 m East   ⟹  (90,0)\displaystyle \implies (90, 0).
- Turns right (South) and walks 20 m   ⟹  (90,−20)\displaystyle \implies (90, -20).
- Turns right (West) and walks 30 m   ⟹  (60,−20)\displaystyle \implies (60, -20).
- Walks 100 m North   ⟹  (60,80)\displaystyle \implies (60, 80).
The distance from starting point (0,0)\displaystyle (0,0) to the final position (60,80)\displaystyle (60, 80) is:
Distance=602+802=3600+6400=10000=100 m\text{Distance} = \sqrt{60^2 + 80^2} = \sqrt{3600 + 6400} = \sqrt{10000} = 100\text{ m}
Hence, **Option C** 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?

Manu wants to go to the market. He starts from his house towards North and reaches a crossroad after 30\displaystyle 30m. He turns towards East, goes 10\displaystyle 10m till the second crossing and turns again, moves towards South straight for 30\displaystyle 30m where marketing complex exits. In which direction is the market from his house?

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?

Rajni walked 20 m towards the North. Then she turned right and walks 30 m. Then she turns right and walks 35 m. Then she turns left and walks 15 m. Finally she turns left and walks 15 m. In which direction and how many meters is she from the starting position?

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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