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      Question

      Quantity I. The perimeter of a triangle whose sides are

      17 cm, 13 cm and 23 cm. Quantity II. The perimeter of a square whose diagonal is 19  cm. Study the following information carefully and answer the Questions given below:
      A Quantity I > Quantity II Correct Answer Incorrect Answer
      B Quantity I ≥ Quantity II Correct Answer Incorrect Answer
      C Quantity I < Quantity II Correct Answer Incorrect Answer
      D Quantity I ≤ Quantity II Correct Answer Incorrect Answer
      E Quantity I = Quantity II or No relation can be established Correct Answer Incorrect Answer

      Solution

      Quantity I. The perimeter of the triangle = 17 + 13 + 23 = 53 cm Quantity II. Side of the square = Diagonal/√2 = (19√2)/√2 = 19 cm The perimeter of the square = 19 × 4 = 76 cm Hence Quantity I < Quantity II

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