Deepak walks 1 km towards east, then he turns to south and walks 5 km. Again he turns to east and walks 2 km. After this he turns to north and walks 9 km. Now, how far is he from his starting point ?

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Kerala PSC Common Preliminary Exam (GRADUATE LEVEL) PYP - 47/24
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  1. 4 km
  2. 16 km
  3. 7 km
  4. 5 km

Answer (Detailed Solution Below)

Option 4 : 5 km
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Detailed Solution

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Given:

Deepak walks 1 km towards east, then he turns to south and walks 5 km.

Again he turns to east and walks 2 km. After this he turns to north and walks 9 km.

IMG - 1374   19-05-25   shilpa verma 8

BY applying Pythagoras Theorem:

(AB)2 = (AC)2(CB)2

(AB)2 = (3)2 + (4)2

(AB)2 = 9 + 16

AB = √25

AB = 5 km

Thus, Deepak is 5 km far from the starting position.

Hence, "Option 4" is the correct answer.

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