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      Question

      What approximate value will come in place of the question

      mark (?) in the following question? (Note: You are not expected to calculate the exact value.) (31.4)² - (18.2)² = ?
      A 550 Correct Answer Incorrect Answer
      B 650 Correct Answer Incorrect Answer
      C 612 Correct Answer Incorrect Answer
      D 769 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ,

      Use identity: a² - b² = (a + b)(a - b)

      (31.4 + 18.2) = 49.6 ≈ 50

      (31.4 - 18.2) = 13.2 ≈ 13

      ⇒ 50 × 13 = 650

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