Direction TestPYQ Nov 20Question 2286 of 165
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One day, Ram left home and cycled 10 km southward, turned right and cycled 5 km and turned right and cycled 10 km and turned left and cycled 10 km. How many kilometers will he have to cycle to reach his home straight?

Options

A10
B15
C20
D25
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Correct Answer

✅ Option b — 15

All Options:

  • A10
  • B15
  • C20
  • D25

Detailed Solution & Explanation

Start at H(0,0)\displaystyle H(0, 0).
1. South 10\displaystyle 10 km →(0,−10)\displaystyle \rightarrow (0, -10).
2. Turn right, cycle 5\displaystyle 5 km →(−5,−10)\displaystyle \rightarrow (-5, -10) West.
3. Turn right, cycle 10\displaystyle 10 km →(−5,0)\displaystyle \rightarrow (-5, 0) North.
4. Turn left, cycle 10\displaystyle 10 km →(−15,0)\displaystyle \rightarrow (-15, 0) West.
Distance from house =15\displaystyle = 15 km.
*Discrepancy*: The key lists Option A (10\displaystyle 10), but the correct distance is 15\displaystyle 15 km (Option B).
Hence, **Option B** is the correct answer.

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