Four boys A, B, C and D are standing in the same field. If B is 6 m north of A, C is 3 m east of B and D is 5 m west of A. Then the shortest distance between C and D is

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UKPSC Lower PCS Preliminary Exam Official Paper (Held On: 11 May, 2025)
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  1. 9 meters
  2. 10 meters
  3. 8 meters
  4. 11 meters

Answer (Detailed Solution Below)

Option 2 : 10 meters
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Given: Four boys A, B, C and D are standing in the same field. If B is 6 m north of A, C is 3 m east of B and D is 5 m west of A.

By using Pythagoras theorem:

⇒ AB2 +BC2 = AC2

⇒ 82 + 62 = AC2

⇒ 64 + 36 = AC2

⇒ √100 = AC

⇒ 10 = AC.

Thus, the shortest distance is "10m".

Hence, the correct answer is "Option 2".

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