Shweta starts walking from her office and walks 150 m towards the south, then she turns right and walks 80 m, and then she turns left and walks 60 m. She finally turns left and walks 280 m to reach a bank. What is the shortest distance between her office and the bank? 

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SSC CGL 2021 Tier-I (Held On : 19 April 2022 Shift 2)
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  1. 280 m 
  2. 290 m 
  3. 410 m 
  4. 370 m 

Answer (Detailed Solution Below)

Option 2 : 290 m 
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Detailed Solution

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According to given conditions,

  • Shweta starts walking from her office and walks 150 m towards the south.

F1 Madhuri SSC 04.08.2022 D1

  • Then she turns right and walks 80 m.

F1 Madhuri SSC 04.08.2022 D2

  • Then she turns left and walks 60 m.

F1 Madhuri SSC 04.08.2022 D3

  • She finally turns left and walks 280 m to reach a bank.

F1 Madhuri SSC 04.08.2022 D4

Now, the shortest distance between Shweta's office and bank can be calculated by the pythagoras theorem :-

F1 Madhuri SSC 04.08.2022 D5

⇒ Here, x stands for shortest distance.

So, (x)2 = (60 + 150)2 + (280 - 80)2

⇒ (x)2 = (210)2 + (200)2

⇒ (x)2 = 44100 + 40000

⇒ (x)2 = 84100

⇒ x = 290 M

Hence, "290 m" is the correct answer.
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