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      Question

      In the questions, two equations I and II are given. You

      have to solve both the equations to establish the correct relation between x and y and choose the correct option. I. x² + 240 = 31x II. (y - 20)(y - 16) = 0
      A x > y Correct Answer Incorrect Answer
      B x < y Correct Answer Incorrect Answer
      C x = y or the relationship cannot be established Correct Answer Incorrect Answer
      D x ≥ y Correct Answer Incorrect Answer
      E x ≤ y Correct Answer Incorrect Answer

      Solution

      From I: x² + 240 = 31x Or, x² - 31x + 240 = 0 Or, x² - 15x - 16x + 240 = 0 Or, x(x - 15) - 16(x - 15) = 0 Or, (x - 15)(x - 16) = 0 So, x = 15 or x = 16 From II: (y - 20)(y - 16) = 0 So, y = 20 or y = 16 Therefore, x ≤ y

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