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    • Question

      What is the least perfect square divisible by 15, 18, 25

      and 30? Also, find the remainder when this number is divided by 77.
      A 53 Correct Answer Incorrect Answer
      B 14 Correct Answer Incorrect Answer
      C 30 Correct Answer Incorrect Answer
      D 27 Correct Answer Incorrect Answer

      Solution

      ATQ,

      LCM of 15, 18, 25 and 30 = 450

      Since, 450 = (2 × 3 × 3 × 5 × 5)

      To convert this to a perfect square, we multiply by 2

      So, required number = 450 × 2 = 900

      900 ÷ 77 = 11 × 77 + 53

      So, desired remainder = 53

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