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    Question

    (x, y) is a pair of positive integers such that LCM (x,

    y) – HCF (x, y) = 143 and x > y. Which one of the following is correct in respect of the Question and the Statements given below? Statement 1: There are three possible values of HCF (x, y). Statement 2: The minimum value of (x – y) is 7. Statement 3: There are 6 pairs of (x, y) that satisfy the given conditions.
    A Only Statements 1 and 2 are correct. Correct Answer Incorrect Answer
    B All three statements are correct. Correct Answer Incorrect Answer
    C Statement 1 is incorrect but Statements 2 and 3 are correct. Correct Answer Incorrect Answer
    D Statements 1 and 3 are correct but Statement 2 is incorrect. Correct Answer Incorrect Answer

    Solution

    The correct answer is B

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