Mohan's house faces south. He steps out of his house and goes straight for 30 m. From there, he takes two successive right turns and covers a distance of 6 m and 24 m, respectively. Finally, he takes a left turn and walks a distance of 2 m to reach a grocery shop. What is the shortest distance between his house and the grocery shop?

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SSC CPO 2022 Tier-I Official Paper (Held On 11 Nov 2022 Shift 1) [Answer Key]
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  1. 12 m
  2. 6 m
  3. 8 m
  4. 10 m

Answer (Detailed Solution Below)

Option 4 : 10 m
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SSC CPO : General Intelligence & Reasoning Sectional Test 1
50 Qs. 50 Marks 35 Mins

Detailed Solution

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Explanation:

Drawing the diagram according to the given information,

  1. Mohan's house faces south. He steps out of his house and goes straight for 30 m.
  2. From there, he takes two successive right turns and covers a distance of 6 m and 24 m, respectively.
  3. Finally, he takes a left turn and walks a distance of 2 m to reach a grocery shop.

Now, Using Pythagoras theorem, the shortest distance between his house and grocery shop will be =  = 10 m

Hence, 'option 4' is the correct answer.

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