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      Question

      If total number of factors of 1,260 is 'x', then find

      the value of (x - 4) (x + 6).
      A 1320 Correct Answer Incorrect Answer
      B 1350 Correct Answer Incorrect Answer
      C 1344 Correct Answer Incorrect Answer
      D 1380 Correct Answer Incorrect Answer
      E 1300 Correct Answer Incorrect Answer

      Solution

      Factors of 1,260 = 2² × 3² × 5¹ × 7¹
      So, total number of factors = (2 + 1) (2 + 1) (1 + 1) (1 + 1) = 3 × 3 × 2 × 2 = 36
      Required value = (x - 4) (x + 6) = 32 × 42 = 1344

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