Direction TestPYQ June 22Question 2291 of 165
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One day Ram left home and cycled 10\displaystyle 10 km southward, turned right and cycled 5\displaystyle 5 km and turned right and cycled 10\displaystyle 10 km and turned left to cycle 10\displaystyle 10 km. How many kilometers will he have to cycle to reach his home?

Options

A10\displaystyle 10
B20\displaystyle 20
C15\displaystyle 15
D25\displaystyle 25
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Correct Answer

✅ Option c — 15\displaystyle 15

All Options:

  • A10\displaystyle 10
  • B20\displaystyle 20
  • C15\displaystyle 15
  • D25\displaystyle 25

Detailed Solution & Explanation

Starting at home (0,0)\displaystyle (0,0), Ram cycles 10 km South to (0,−10)\displaystyle (0, -10).
He then turns right (West) and travels 5 km to (−5,−10)\displaystyle (-5, -10).
He turns right again (North) and goes 10 km to (−5,0)\displaystyle (-5, 0).
Finally, he turns left (West) and travels 10 km to (−15,0)\displaystyle (-15, 0).
The straight-line distance from his final position (−15,0)\displaystyle (-15, 0) to home (0,0)\displaystyle (0,0) is:
Distance=5+10=15 km\text{Distance} = 5 + 10 = 15\text{ km}
Hence, **Option C** is the correct answer.

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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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