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    Question

    Let ‘x’ be the least number divisible by 18, 20, 27,

    30, and 50, and also ‘x’ is a perfect square. Find the remainder when ‘x’ is divided by 77.
    A 30 Correct Answer Incorrect Answer
    B 28 Correct Answer Incorrect Answer
    C 26 Correct Answer Incorrect Answer
    D 42 Correct Answer Incorrect Answer

    Solution

    ATQ, LCM of 18, 20, 27, 30 and 50 = 5400 Since, 5400 = (2 × 2 × 3 × 3 × 3 × 5 × 5) To make it a perfect square, multiply by ‘3’. So, desired number = 5400 × 3 = 16200 16200 ÷ 77 = 210 × 77 + 30 So, desired remainder = 30

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