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      Question

      If total number of factors of 2,520 is 'y', then find

      the value of (y - 4)(y + 6).
      A 2248 Correct Answer Incorrect Answer
      B 2376 Correct Answer Incorrect Answer
      C 2156 Correct Answer Incorrect Answer
      D 2454 Correct Answer Incorrect Answer

      Solution

      Factors of 2,520 = 2Β³ Γ— 3Β² Γ— 5ΒΉ Γ— 7ΒΉ So, total number of factors = (3 + 1)(2 + 1)(1 + 1)(1 + 1) = 4 Γ— 3 Γ— 2 Γ— 2 = 48 y = 48 Required value = (y - 4)(y + 6) = (48 - 4)(48 + 6) = 44 Γ— 54 = 2376.

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