GATE XE (Engineering Sciences) 2025 - Question 10

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Section: General Aptitude | Marks: 2

Three villages P, Q, and R are located in such a way that the distance PQ = 13 km, QR = 14 km, and RP = 15 km, as shown in the figure. A straight road joins Q and R. It is proposed to connect P to this road QR by constructing another road. What is the minimum possible length (in km) of this connecting road? Note: The figure shown is representative.

Figure for question 10, GATE XE (Engineering Sciences) 2025

  • A. 10.5
  • B. 11.0
  • C. 12.0
  • D. 12.5 P Q R 14 km 13 km 15 km

Answer: C. 12.0

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