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    Question

    When a least four-digit number 'x' is divided by 120,

    100, and 80, it leaves a remainder of 15 in each case. What least number must be added to 'x' so that it becomes a perfect square?
    A 10 Correct Answer Incorrect Answer
    B 28 Correct Answer Incorrect Answer
    C 37 Correct Answer Incorrect Answer
    D 15 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    LCM of 120, 100, and 80 = 600 Least 4-digit number = 600 × 2 = 1200 x = 1200 + 15 = 1215 Next perfect square after 1215 = 1225 Least number to be added = 1225 - 1215 = 10

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