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Rashmi stepped out of her college and walked 15 m towards South. She then took a left turn and walked 35 m to reach a pastry shop. She then took a right turn and walked 15 m. She then took a right turn and walked 35 m to reach her house. What is the approximate shortest distance between Rashmi's college and her house via the pastry shop?

This question was previously asked in
SSC Steno Previous Paper 16 (Held on: 22 Dec 2020 Shift 2)
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  1. 38 m
  2. 69 m
  3. 76 m
  4. 54 m

Answer (Detailed Solution Below)

Option 3 : 76 m
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SSC Steno 2022 Official Paper (Held On: 17 Nov 2022 Shift 1)
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Detailed Solution

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The path followed by Rashmi is :

F1 Sonali Singh 10.2.21 Pallavi D2

Using Pythagoras theorem to get the shortest distance :

(Hypotenuse)2 = (Base)2 + (Height)2

Shortest distance between college and pastry shop = √((35)2 + (15)2)

= √(1225 + 225)

= √(1450)

= 38.07 m ≈ 38 m

Shortest distance between house and pastry shop = √((35)2 + (15)2)

= √(1225 + 225)

= √(1450)

= 38.07 m ≈ 38 m

Shortest distance between college and house via pastry shop = 38 + 38 = 76 m

Hence, 76 m is the correct answer.

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