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      Question

      In ∆ PQR, S is the midpoint of QR. T is the midpoint

      of line PS. Then, Area of ∆PTQ : Area of ∆ PQR is
      A 1:5 Correct Answer Incorrect Answer
      B 1:3 Correct Answer Incorrect Answer
      C 1:4 Correct Answer Incorrect Answer
      D 2:3 Correct Answer Incorrect Answer

      Solution

      Let the area of the ∆ PQR = 100 Then the area of ∆ PSQ = 100/2 = 50 And the area of ∆ PQT = 50/2 = 25 Area of ∆PTQ : Area of ∆ PQR = 25 : 100 = 1 : 4

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