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      Question

      If total number of factors of 3,240 is 'x', then find

      the value of (x - 3)(x + 5).
      A 1600 Correct Answer Incorrect Answer
      B 1665 Correct Answer Incorrect Answer
      C 1700 Correct Answer Incorrect Answer
      D 1800 Correct Answer Incorrect Answer

      Solution

      Factors of 3,240 = 2┬│ ├Ч 3тБ┤ ├Ч 5
      So, total number of factors = (3 + 1)(4 + 1)(1 + 1) = 4 ├Ч 5 ├Ч 2 = 40
      Required value = (x - 3)(x + 5) = (40 - 3)(40 + 5) = 37 ├Ч 45 = 1665

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