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      Question

      If total number of factors of 1,575 is 'x', then find

      the value of (x - 3) (x + 9).
      A 400 Correct Answer Incorrect Answer
      B 420 Correct Answer Incorrect Answer
      C 405 Correct Answer Incorrect Answer
      D 450 Correct Answer Incorrect Answer

      Solution

      Factors of 1,575 = 3┬▓ ├Ч 5┬▓ ├Ч 7┬╣
      So, total number of factors = (2 + 1) (2 + 1) (1 + 1) = 3 ├Ч 3 ├Ч 2 = 18
      Required value = (x - 3) (x + 9) = 15 ├Ч 27 = 405

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