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      Question

      How many factors of 23 × 33 × 54 × 72 are divisible by 50 but not by 100?

      A 42 Correct Answer Incorrect Answer
      B 40 Correct Answer Incorrect Answer
      C 36 Correct Answer Incorrect Answer
      D 38 Correct Answer Incorrect Answer

      Solution

      50=52×2 100=52×22 23 × 33 × 54 × 72 =52×2×22×52×33×72) =52×33×72 Total factor=3×4×3 =36.

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